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UNIT-1 SOLIDS
QUESTIONS CARRYING ONE MARK:
1. Which type of solid is anisotropic in nature?
Ans: Crystalline solids are anisotropic in nature
2. Which type of solids is called as super cooled liquids or pseudo solids?
Ans:Amorphous solids are called super cooled liquids
3. A solid has a sharp melting point, and then to which type of solids does it
belong?
Ans: Crystalline solids
4. Which type of solids has long range orderly arrangement of constituent
particles?
Ans: Crystalline solids
5. Sodium chloride and quartz belong to which type of solid?
Ans: Crystalline solids
6. A solid shows different values for refractive index when measured in different
directions. - Identify the type of solid
Ans: Crystalline solids
7. When a solid is cut with a sharp edged tool, they cut into two pieces and the
newly generated surfaces are plain and smooth. – Identify the type of solid.
Ans: Crystalline solids
8. Which type of force of attractions is present between the molecules in polar
molecular solids?
Ans: Dipole –dipole interactions
9. Which type of force of attractions is present between the molecules in
non-polarmolecular solids?
Ans: London forces or Dispersion forces
	
  
	
  
10. Which type of force of attractions is present between the particlesin
ionic solids?
Ans: Electrostatic force of attraction or coulombic force of attraction
11.Solid SO2 and solid NH3belong to which type of molecular solids?
Ans: Polar molecular solids
12. What is crystal lattice?
Ans: The regular three dimensional array of lattice points in space is called
crystal lattice
13. What is a unit cell?
Ans: It is the smallest repeating unit which when arranged in three dimension
gives the crystal lattice.
14. How many types of primitive unit cells are present?
Ans: Three types
15. What is a primitive cubic unit cell?
Ans: The cubic unit cell in which the particles/atoms are present only at the
eightcorner of the cube is called primitive cubic unit cell.
16. Define the co-ordination number of a particle in solids.
Ans:It is the total number of nearest neighboring particles to a given particle.
17. What is the number of octahedral voids generated, if the number of close
packed spheres is N?
Ans: N
18. What is the number of tetrahedral voids generated, if the number of close
packed spheres is N?
Ans: 2N
19. What is the co-ordination number of a particle in a tetrahedral void?
Ans:Four
20. Among Schottky and Frenkel defect, which type of defect decreases
the density of the crystal?
Ans: Schottky defect
 
	
  
21. What are point defects?
Ans: Deviations from the ideal arrangement around a particular point or an
atomin a crystalline solid
22. What are F-centers?
Ans: The anionic sites occupied by the unpaired electrons are called F- centre.
23. To which colour potassium chloride crystal turns, when excess potassium
ionis present?
Ans: Violet
24. Name the type of non-Stoichiometric defect observed when white ZnO
turns yellow on heating.
Ans: Metal excess defect
25. Name the non-Stoichiometric defect responsible for the composition of ferrous
oxide to be Fe0.95O1.
Ans:Metal deficiency defect
26. Which type of point defect is observed when NaCl containing little SrCl2 is
crystallized?
Ans:Impurity defect
27. Which defect is also called as dislocation defect?
Ans:Frenkel defect
28. What is doping?
Ans: The process of increasing the conductivity of an intrinsic semiconductors
by adding asuitable impurity is called doping
29. What type of semiconductors are obtained when silicon doped with
boron impurity?
Ans: p-type semiconductor
30. Name the unit used to measure magnetic moment.
Ans: Am2( 1Bohr magneton= 9.27x10-24 Am2)
31. What are diamagnetic substances?
Ans: These are the substances which are repelled by the magnetic field
	
  
	
  
32. What are ferromagnetic substances?
Ans: These are the substances which are strongly attracted by the magnet
33. How body diagonal and radius of a sphere(r) are related in bcc unit cell?
Ans:4r =√2a
34. Give an example for Ferromagnetic substance.
Ans: Fe Co Ni Gd CrO2
35. Give an example for Diamagnetic substance.
Ans: H2O, NaCl, and C6H6
QUESTIONS CARRYING TWO MARKS:
1. How crystalline solids differ from amorphous solids in their melting point?
Ans:Crystalline solids have sharp melting point whereas amorphous solid do not
have a sharp melting point
2. Write any two differences between crystalline solids and amorphous solids?
Crystalline solid Amorphous solid
3-D long range orderly arrangement
of particles
No orderly arrangement of constituent
particles
Sharp Melting point Do not have sharp M P
( Softening temperature)
True solids having definite shape Pseudo solids having irregular shapes
They have a well-defined cleavage
planes
Do not have cleavage planes
Anisotropic in nature Isotropic in nature
3. What is meant by anisotropy? What type of solids show this nature?
Ans: The physical properties like refractive index, coefficient of thermal expansion,
when measured in different directions gives different value for a crystalline
solid hence it is anisotropic in nature.
Crystalline solids
4. What are the nature of particles and the force of attractions between
the particles in non-polar molecular solids?
Ans: In a non-polar molecular solids, the constituent particles are non-polar
moleculeslike H2, Cl2, I2 and even atoms like Ar, Ne, Xe etc.
The nature of force of attraction is weak dispersion force or London force.
 
	
  
5. What are the nature of particles and the force of attractions between
the particles in polar molecular solids?
Ans: In a polar molecular solids, the constituent particles are formed by polar covalent
bond like HCl, SO2.
The nature of force of attraction is dipole-dipole attractions
6. What are the nature of particles and the force of attractions between
the particles in hydrogen bonded molecular solids?
Ans: In a hydrogen bonded molecular solids, the constituent particles are polar
molecules capable of forming hydrogen bond like water.
The nature of force of attraction is hydrogen bonding
7. What are point defects? Mention the types
Ans: Point defects are the irregularities in the arrangement of constituent
particlesaround a point or a lattice site in a crystalline substance.
These are of three types.
1. Stoichiometric defects.
2. Non-stoichiometric defect
3. Impurity defect.
8. What are the differences between Schottky and Frenkel defect?
Schottky defect
a. Shown by ionic solidscontaining
similar-sized cationsand anions
(having high coordination number)
b. An equal number of cations and
anions are missing to maintain
electrical neutrality
c. Decreases the density of the
substance
d. Example,
NaCl, KCl , CsCl, and AgBr
Frenkel defect
a. Shown by ionic solids containing
largedifferences in the sizes of ions,
(having less coordination number)
b. Created when the smaller ion
(usually cation) is dislocated from its
normal site to an interstitial site
c. No change in density of the crystal.
creates a vacancy defect as well as an
interstitial defect .Also known as
dislocation defect
d. Example:
AgCl, AgBr, AgI and ZnS
9. What are the nature of particles and the force of attractions between
the particles in ionic solids?
Ans: The nature of the particles is ions (both cation and anion). The nature
of the force of attraction is electrostatic force or coulombic force
10. What are the nature of particles and type of bonding in network solids?
Ans: The nature of the particles is atoms. The bonding is covalent bond.
	
  
	
  
11. Classify the following into polar and non-polar molecular solids:
Ar, HCl, I2 and SO2
Ans: Non-polar molecular solids: Ar, I2
Polar molecular solids:HCl, SO2
12. Calculate the number of particles present per unit cell in an FCC unit cell.
Ans:Contribution of corner particle = 8 x 1/8 = 01
Contribution of a particle at the centreof face = 6 x ½ = 03
Total number particle /unit cell = 04
13. Calculate the number of particles present per unit cell in a BCC unit cell.
Ans:Contribution of corner particle = 8 x 1/8 = 01
Contribution of a particleat the centre = 1 x 1 = 01
Total number particle /unit cell = 02
14. Calculate the number of particles present per unit cell in a simple cubic
unit cell.
Ans:Contribution of corner particle = 8 x 1/8 =01
Total number particle /unit cell = 01
15. Mention the two characteristics of a unit cell.
Ans: Two characteristics of unit cells are
a. Edge length
b. Axial angles
16. What is the relation between edge length (a) and radius of the sphere (r)
infcc unit cell? What is itspacking efficiency?
Ans: The relationship between edge length and radius of the sphere are a=2   2  r
Packing efficiency is 74%
17. What is the relation between edge length (a) and radius of the sphere (r)
in bcc unit cell? What is its packing efficiency?
Ans: The relationship between edge length and radius of the sphere are a=
!!
!
Packing efficiency is 68 %
18. How many tetrahedral and octahedral voids is present, if the number
of sphere is N?
Ans: The number of tetrahedral void is 2N
The number of octahedral void is N
19. Explain Schottky defect. Give an example.
Ans: The defect which arises due to missing of equal number of cations and anions
from the crystal lattice is called Schottky defect. Ex. NaCl, KCl ,CsCl, AgBr
 
	
  
20. Explain Frenkel defect. Give an example.
Ans: The defect in which an ion (generally cation) leaves the original site and
occupies the interstitialsite is called Frenkel defect. E. AgCl, AgBr, AgI
21. How Schottky defect and Frenkel defect affect the density of the crystal?
Ans: In Schottky defect density of the crystal decreases.
In Frenkel defect the density of the crystal remains same.
22. Mention the two types of Non-stoichiometric defects in solids?
Ans: Metal excess defect and metal deficiency defect.
23. What is F- center? What colour is imparted to the NaCl crystal, due to the
presence of excess sodium?
Ans: The anionic sites occupied by the unpaired electrons are called F- Centre
The colour of NaCl crystal is Yellow
24. Write the formula to calculate the density of the unit cell and explain the
terms.
Ans:
z = number of particles present per unit cell
d =
𝒛𝑴
𝒂 𝟑 𝑵 𝑨
                M = Molecular mass , d = density NA = Avogadro’s number
a = Edge length.
25. What are n-type and p-type semiconductors?
Ans:
n-type semiconductor is obtained by doping of the crystal of a group 14 element
such as Si or Ge, with a group 15 element such as P or As(pentavalent).
Conductivity increases due to negatively charged electrons.
p-type semiconductor is obtained by doping of the crystal of a group 14 element
such as Si or Ge, with a group 13 element such as B, Al or Ga( trivalent).
Conductivity increases as a result of electron hole
26. An ionic compound is formed by two elements A and B. The cat ions A are in
ccp arrangement and those of anions B occupy all the tetrahedral voids.
What is the simplest formula of the compound?
Ans:
Since cations are in ccp arrangement, the total number cat ions A = 4
The number of tetrahedral voids is double the number of particles = 8
All the tetrahedral voids are occupied by anions B.
The number of elements of B = 8
Hence the formula of the ionic compound is A4B8 or AB2
	
  
	
  
27. A compound is formed by two elements X and Y. The element X forms ccp and
atoms of Y occupy 1/3 rd of tetrahedral voids. What is the formula of the
compound?
Ans:
Since element X are in ccp arrangement, the number of X per unit cell = 4
The number of tetrahedral void = 8
But only 1/3 rd is occupied by Y, therefore 8 x1/3 = 8/3
Hence the formula of the compound is X4Y8/3 = X12Y8 or X3Y2
28. Gold(atomic radius=0.144nm)crystallizesin a face centered unit cell.
What is the length of the side of the cell?
Ans:
For FCC the edge length and radius of sphere arerelated by the equation,
r = 0.144nm a=2   2  r
a = ? = 2 2    x  0.144  nm
= 2x1.414 x 0.144
= 0.40723nm.
29. Silver forms ccp lattice and X- ray studies of its crystals show that the edge
lengthof its unit cell is 408.6pm. Calculate the density of silver
(atomic mass = 107.9 u)
Ans:
d =
!"
!!!!
d= 4 x 107.9/(4.08)3 x10-24 x 6.022 x1023
d = 431.6/40.899
d = 10.5528g/cm3
30. X- ray diffraction studies show that copper crystallizes in an fcc unit cell with
cell edge of 3.6 x10-8cm. In a separate experiment, copperis determined to
have a density of 8.92g/cm3,calculate the atomic mass of copper.
Ans:
d =
!"
!!!!
M = d a3 NA/Z
= 8.92 x(3.6)3x10-24 x 6,022 x1023/4
= 250.61/4
M = 62.6525 u
31. The edge of fcc unit cell of platinum is 392 pm and density is 21.5 g/cm3,
calculate the Avogadro number.
Ans:
d =
!"
!!!!
NA = Z x M/ d a3
= 4 x 195.08/21.5 x (3.92)3x 10—24
= 780.32/1295.08 x10—24
NA= 6.025 x1023
 
	
  
32. A unit cell of sodium chloride has four formula units. The edge length of the
unit cell is 0.564 nm. What is the density of sodium chloride?
Ans:
d =
!"
!!!!
d = 4 x 58.5/(5.64)3 x10-24 x 6.022 x1023
d = 234/108.038
d = 2.165 g/cm3
33. A body centered cubic element having density 10.3 g/cm3, has a edge length
of 314pm. Calculate the atomic mass of the element
(Avogadro’s number= 6.023x1023/mol)
Ans:
d =
!"
!!!!
M = d x a3 xNA/Z
= 10.3 x (3.14)3x 10-24 x 6.022 x1023/2
M = 96.01u
34. Calcium metal crystallizes in a face centered cubic lattice with edge length
of 0.556nm. Calculate the density of the metal.
(Atomic mass of calcium = 40g/mol and Avogadro number= 6.022 x1023mol-1)
Ans:
d =
!"
!!!!
d = 4 x 40/(5.56)3 x10-24 x 6.022 x1023
d = 160/103.50
d = 1.54 g/cm3
35. Copper crystallizes into afcc lattice with edge length 3.61 x10-8cm.
Calculate the density of the of the crystal
(Atomic mass of copper =63.5g/mol and Avogadro number= 6.022 x1023mol-1 )
Ans:
d =
!"
!!!!
d = 4 x 63.5/(3.61)3 x10-24 x 6.022 x1023
d = 254/28.33
d = 8.9 g/cm3
	
  
	
  
36. Silver crystallizes in a face centered cubic structure. If the edge length is
4.077 x10-8cm and density is 10.5 g/cm3, calculate the atomic mass of silver.
Ans:
d =
!"
!!!!
M = d a3 NA/Z
= 10.5 x (4.077)3x10-24 x 6,022 x1023/4
= 103.57/4
The atomic mass of silver M = 107.09 u
37. The density of Li atoms is 0.53g/cm3.The edge length of Li is 3.5 A0. Find out
the number of Li atoms in a unit cell (N0= 6.022 x1023/mol& M= 6.94)
Ans:d =
!"
!!!!
Z = d x 𝑎!
𝑁!/𝑀
= 0.53 x (3.5)3 x10–24x 6.022 x1023/6.94
= 2
The number of lithium atoms in unit cell is 2
Questions carrying THREE marks
1. Calculate the packing efficiency in simple cubic unit cell
Edge length of the cube = a = 2r
Volume of the cubic unit cell= a3 = (2r)3= 8r3
volume of one particle(sphere) =
!
!
𝝅r3
The number of particles per unit cell =1
Total volume occupied by one sphere =
!
!
𝜋𝑟!
Packing efficiency=
!"#$%  !"#$%&  !""#$%&'  !"  !"#  !"!!"!
!"#$%&  !"  !"#$!  !"#$  !"##
× 100
=
!
!
!!!×!
!  !! ×100
= 52.4%
 
	
  
2. Calculate the packing efficiency in face centered cubic unit cell
edge length of the cube
be ‘a’
In ABC
AC2 = BC2 + AB2
b2 = a2 + a2
b2 = 2a2
b = 2   a
Let the radius of the
atom = r
Length of the diagonal
of ABC, b= 4r
2  a = 4r
a = 2 2  r
Edge length of the cube =a=2   2  r
Volume of the cubic unit cell= a3 = 2   2  r
!
volume of one particle(sphere) =
!
!
𝝅r3
The number of particles per unit cell =4
Total volume occupied by four spheres = 4 ×
!
!
𝜋𝑟!
packing efficiency=
!"#$%  !"#$%&  !""#$%&'  !"  !"#$  !"!!"!#
!"#$%&  !"  !"#$!  !"#$  !"##
× 100
=
!
!
!!!×!
! !!
!   ×    100
=
!"
!
!!!
!"   !!!   ×    100 = 74 %
3. Calculate the packing efficiency in body centered cubic unit cell
In ABG,
b2 = a2 + a2 ⇒ b2 = 2 a2
In, AGD,
C2 = a2 + b2
C2 = a2 + 2a2
C2 = 3a2⇒ C = 3𝑎
Radius of the atom = r.
Length of the body
diagonal, C=4r
3𝑎 = 4r
a =
!!
!
Edge length of the cube =a=
!!
!
Volume of the cubic unit cell= a3 =
!!
!
!
volume of one particle(sphere) =
!
!
𝝅r3
The number of particles per unit cell =2
Total volume occupied by two spheres = 2 ×
!
!
𝜋𝑟!
packing efficiency=
!"#$%  !"#$%&  !""#$%&'  !"  !"#  !"!!"!#
!"!"#$  !"  !"#$!  !"#$  !"##
× 100
=
!
!
!!!×!
!
!
!
!   ×  100
=
!
!
!!!
!"
! !
!!
  ×  100 = 68%
	
  
	
  
4.Based on band theory explain conduction in metals, insulators and
semiconductors
Conduction of electricity in metals: In metals, the valence shell is partially filled, so
this valence band overlaps with a higher energy unoccupied conduction band so that
electrons can flow easily under an applied electric field.
Conduction of electricity in insulators: In insulators, the valence shell is empty, so
the gap between the valence band and conduction band is very large. so that electrons
cannot flow under an applied electric field.
Conduction of Electricity in Semiconductors In semiconductors, the gap between
the valence band and conduction band is so small that some electrons may jump to
the conduction band. Electrical conductivity of semiconductors increases with
increase in temperature. Substances like Si, Ge show this type of behaviour, and are
called intrinsic semiconductors.
5. How are solids classified on the basis of the force of attraction?
Ans:
a. Molecular solids: Particles are held by
a. London forces (in non-polar solids) ex : Benzene, Argon, P4O10, I2, P4
b. Dipole - dipole interaction ( in polar solids) ex: Urea, Ammonia
c. Hydrogen bonding (in hydrogen bonded solids) ex: ice
b. Ionic solids
a. Particles are held by ionic bond
b. Conduct electric current in aqueous solution or molten state
c. Examples: NaCl, MgO, ZnS
d. In solid state, ions are held together by strong electrostatic forces and are
not free to move about within the solid. Hence, ionic solids do not conduct
electricity in solid state. However, in molten state or in solution form, the
ions are free to move and can conduct electricity.
c. Covalent or network solids:
a. Particles are held by covalent bonding. Examples SiO2 (quartz), diamond,
d. Metallic solids:
a. Particles are held by metallic bond.
b. These are electrical conductors, malleable, and ductile. Examples: Fe, Cu,
6. What are point defects? Explain the types.
Ans: Point defects are the irregularities in the arrangement of constituent particles
around a point or an atom in a crystalline substance. These are of three types.
1. Stoichiometric defects: Do not disturb stoichiometry of the solid.
These are also called intrinsic or thermodynamic defects
Ex : Frenkel defect, Schottky defect
2. Non-stoichiometric defects: This defect alters the stoichiometric ratio of the
constituent elements
i) Metal excess defect
a. Metal excess defect due to anionic vacancies:
b. Metal excess defect due to the presence of extra
cations at interstitial sites:
ii) Metal deficiency defect
a. By cation vacancy
3. Impurity defect.
 
	
  
7. What are diamagnetic, paramagnetic and ferromagnetic substances?
1. Paramagnetic substance: The substance which are attracted by the magnet.
The magnetic character is temporary and is present as long as the external
magnetic field is present. Ex; O2, Cu2+, Fe3+, Cr3+ NO.
2. Diamagnetic substance: The substance which are weakly repelled by the magnetic
field TiO2, H2O,NaCl.This property is shown by those substance which contain
fully –filled orbitals (no unpaired electrons)
3. Ferro magnetic substance: The substance which are strongly attracted by the
magnet. They show permanent magnetism even in the absence of magnetic field.
Ex : Fe Co Ni Gd& CrO2
8. An element with molar mass 2.7 x 10-2 kg/mol forms a cubic unit cell with edge
length 405pm. If its density is 2.7 x 103 kg/m3, what is the nature of the cubic
unit cell
Ans:
d =
!"
!!!!
Z = d x 𝑎!
𝑁!/𝑀
= 2.7 x103 x(405)3 x 10—27 x 6.022 x1023/2.7 x 10-2
= 4
Since there are 4 atoms of the element present per unit cell. Hence, the cubic
unit cell must be face centered or cubic close packed structure (ccp)
9. Niobium crystallises in body-centered cubic structure. If density is 8.55g/cm3,
calculate atomic radius of niobium, given that its atomic mass is 93 u.
Ans: d =
!"
!!!!
a3 =
!"
!  !!
= 2 x 93/8.55 x6.022 x1023
= 36.1 x106
a = (36.1)1/3 x102
=330 pm
For BCC r =
!
!
a
r =
!
!
x 330
r = 143pm
10. An element has a body-centered cubic (bcc) structure with cell edge of 288pm.
The density of the element is 7.2 g/cm3. How many atoms are present in 208g
of the element?
	
  
	
  
Ans:
d =
!"
!!!!
M = d a3 NA/Z
= 7.2 x (2.88)3x10-24 x 6,022 x1023/2
= 103.57/2
M = 51.78 u
51.78 g (1mole) contains 6.022 x1023 atoms
Therefore 208g contains 4.01 x 6.022 x1023 = 24.187 x1023 atoms.
nBM
V
=
=
A
nBM
W
Unit -2
THEORY OF DILUTE SOLUTIONS
1) What	
  is	
  solution?	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  It	
  is	
  a	
  homogenous	
  mixture	
  of	
  two	
  or	
  more	
  compounds.	
  
2) What	
  is	
  dilute	
  solution?	
  	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  It	
  is	
  a	
  solution	
  in	
  which	
  solute	
  concentration	
  is	
  very	
  less.	
  
3) Give	
  an	
  example	
  for	
  	
  solid-­‐solid	
  solution	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Copper	
  dissolved	
  in	
  gold.	
  
4) Give	
  an	
  example	
  for	
  gas-­‐gas	
  solution	
  	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Mixture	
  of	
  oxygen	
  and	
  nitrogen	
  gases.	
  
5) Give	
  an	
  example	
  for	
  	
  gas-­‐solid	
  solution	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Solution	
  of	
  hydrogen	
  in	
  palladium.	
  
6) Give	
  an	
  example	
  for	
  liquid-­‐solid	
  solution	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Amalgam	
  of	
  mercury	
  with	
  sodium.	
  
7) Give	
  an	
  example	
  for	
  	
  liquid-­‐liquid	
  solution	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Ethanol	
  dissolved	
  in	
  water.	
  
8) Give	
  an	
  example	
  for	
  	
  solid-­‐gas	
  solution	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Camphor	
  in	
  nitrogen	
  gas.	
  
9) Define	
  mole	
  fraction	
  and	
  give	
  the	
  equation	
  to	
  calculate	
  it.	
   	
   	
   	
   [2]	
  
A:Mole	
  fraction	
  is	
  the	
  ratio	
  of	
  number	
  of	
  moles	
  of	
  one	
  component	
  to	
  the	
  total	
  number	
  of	
  moles	
  
of	
  all	
  the	
  components	
  in	
  the	
  solution.	
  
A
B
n
AX
n n
A
=
+
	
  
B
B
nBX
n n
A
=
+
	
  
10)Define	
  molarity	
  and	
  give	
  the	
  equation	
  to	
  calculate	
  it.	
   	
   	
   	
   	
   [2]	
  
A:	
  Number	
  of	
  moles	
  of	
  the	
  solute	
  present	
  per	
  liter	
  solution	
  is	
  known	
  as	
  molarity.	
  
	
  
	
  
11)Define	
  molality	
  and	
  give	
  the	
  equation	
  to	
  calculate	
  it.	
   	
   	
   	
   	
   [2]	
  
A:	
  Number	
  of	
  moles	
  of	
  the	
  solute	
  present	
  perkgsolvent	
  is	
  known	
  as	
  molality.	
  
12)Define	
  the	
  term	
  solubility	
  of	
  a	
  substance.	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Solubility	
  of	
  a	
  substance	
  is	
  its	
  maximum	
  amount	
  that	
  can	
  be	
  dissolved	
  in	
  a	
  specified	
  
amount	
  of	
  solvent	
  at	
  a	
  specified	
  temperature	
  
13)State	
  Henry’s	
  law.	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   [2]	
  
A:	
  Henry’s	
  Law:	
  At	
  constant	
  temperature	
  solubility	
  of	
  a	
  gas	
  in	
  a	
  liquid	
  is	
  directly	
  proportional	
  
to	
  the	
  partial	
  pressure	
  of	
  gas	
  present	
  above	
  the	
  solution.	
  
OR	
  
	
   At	
  constant	
  temperature	
  the	
  partial	
  pressure	
  of	
  the	
  gas	
  in	
  vapor	
  phase	
  (p)	
  is	
  proportional	
  
to	
  the	
  mole	
  fraction	
  of	
  the	
  gas	
  (x)	
  in	
  the	
  solution.	
  
Mathematically p ∝ x ; p = KH x.
Where KH is Henry’s law constant. KH depends on the nature of the gas.
	
  
14)Write	
  the	
  plot	
  which	
  shows	
  relation	
  between	
  partial	
  pressure	
  of	
  a	
  gas	
  v/s	
  its	
  mole	
  
fraction.	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   [2]	
  
A:	
  	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
15)Mention	
  the	
  factors	
  affecting	
  solubility	
  of	
  a	
  gas	
  in	
  liquid.	
  	
   	
   	
   	
   [2]	
  
A:	
  1.	
  Temperature	
  2.	
  Pressure	
  
16)Explain	
  how	
  temperatures	
  effect	
  the	
  solubility	
  of	
  a	
  gas	
  in	
  liquid.	
   	
   	
   [2]	
  
A:	
  Solubility	
  of	
  gases	
  in	
  liquid	
  decreases	
  with	
  rise	
  in	
  temperature.	
  According	
  to	
  Le	
  Chatelier’s	
  
Principle,as	
  dissolution	
  is	
  an	
  exothermic	
  process,	
  the	
  solubility	
  should	
  decrease	
  with	
  increase	
  
of	
  temperature.	
  	
  
17)Explain	
  how	
  pressure	
  effects	
  the	
  solubility	
  of	
  a	
  gas	
  in	
  liquid.	
   	
   	
   	
   [1]	
  
A:	
  	
  The	
  solubility	
  of	
  gases	
  increases	
  with	
  increases	
  of	
  pressure.	
  
18)Mention	
  the	
  applications	
  of	
  Henry’s	
  law.	
   	
   	
   	
   	
   	
   	
   [3]	
  
A:	
  (a)	
  To	
  increase	
  the	
  solubility	
  of	
  CO2	
  insoft	
  drink	
  and	
  soda	
  water,	
  the	
  bottle	
  is	
  sealed	
  under	
  
high	
  pressure.	
  
Mole	
  fraction.	
  
Partial	
  pressure	
  of	
  a	
  gas	
  
(b)	
  To	
  avoid	
  bends,	
  as	
  well,	
  the	
  toxic	
  effects	
  of	
  high	
  concentration	
  of	
  nitrogen	
  in	
  the	
  blood,	
  the	
  
tanks	
  used	
  by	
  scuba	
  divers	
  are	
  filled	
  with	
  air	
  dilute	
  with	
  helium.	
  
(c)	
  At	
  high	
  altitudes	
  the	
  partial	
  pressure	
  of	
  oxygen	
  is	
  less	
  than	
  that	
  at	
  the	
  ground	
  level.	
  This	
  
leads	
  to	
  low	
  concentrations	
  of	
  oxygen	
  in	
  the	
  blood	
  and	
  tissues	
  of	
  people	
  living	
  at	
  high	
  
altitudes	
  or	
  climbers.	
  	
  
	
  
19)State	
  Raoult’slaw	
  of	
  liquid-­‐liquid	
  dilute	
  solutions.	
  	
   	
   	
   	
   	
   [2]	
  
A:	
  The	
  partial	
  vapour	
  pressure	
  of	
  each	
  component	
  of	
  the	
  solution	
  is	
  directly	
  proportional	
  to	
  
its	
  mole	
  fraction	
  present	
  in	
  solution.	
  
Thus,	
  for	
  component	
  1	
  
P1	
  ⍺	
  x1	
  
And	
  	
   p1	
  =	
  p1
0x1	
  
20)What	
  are	
  ideal	
  solutions?	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  The	
  solution	
  which	
  obey	
  Raoul’s	
  law	
  over	
  the	
  entire	
  range	
  of	
  concentration	
  are	
  known	
  as	
  
ideal	
  solution	
  
21)Mention	
  the	
  characters	
  of	
  ideal	
  solutions.	
   	
   	
   	
   	
   	
   	
   [3]	
  
A:	
  	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
22)What	
  are	
  non-­‐ideal	
  solutions?	
  	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  When	
  a	
  solution	
  does	
  not	
  obey	
  Raoult’s	
  law	
  over	
  the	
  entire	
  range	
  of	
  concentration,	
  then	
  it	
  
is	
  called	
  non-­‐ideal	
  solution.	
  
23)Mention	
  the	
  types	
  of	
  non-­‐ideal	
  solutions.	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  There	
  are	
  two	
  types	
  
(a)	
  Non-­‐ideal	
  solution	
  with	
  positive	
  deviation	
  from	
  Raoult’s	
  law	
  
(b)	
  Non-­‐ideal	
  solution	
  with	
  negative	
  deviation	
  from	
  Raoult’s	
  law	
  
	
  
24)Give	
  an	
  example	
  for	
  non-­‐ideal	
  solution	
  with	
  positive	
  deviation	
  from	
  Raoult’s	
  	
  law.	
   	
  [1]	
  
A:	
  Mixtures	
  of	
  ethanol	
  and	
  acetone	
  
Ideal	
  
I. 	
  It	
  obeys	
  Raoults	
  law	
  is	
  obeyed	
  at	
  all	
  temperature	
  
and	
  concentration	
  
P	
  =	
  PA	
  +	
  PB	
  
II. ∆	
  V	
  mix	
  =	
  O	
  i.e.,	
  there	
  is	
  no	
  change	
  in	
  volume	
  on	
  
mixing	
  
III. ∆Hmix	
  	
  =	
  O	
  i.e.,	
  there	
  is	
  no	
  enthalpy	
  change	
  when	
  	
  
ideal	
  solution	
  formed	
  
IV. It	
  doesn’t	
  form	
  azeotropic	
  mixture	
  
V. Force	
  of	
  attraction	
  between	
  A―A,	
  B―B is similar
as A―B	
  
	
  
25)Give	
  an	
  example	
  for	
  non-­‐ideal	
  solution	
  with	
  negative	
  deviation	
  from	
  Raoult’s	
  	
  law.	
   [1]	
  
	
  
A:	
  An	
  example	
  of	
  this	
  type	
  is	
  a	
  mixture	
  of	
  phenol	
  and	
  aniline.	
  
	
  
26)What	
  are	
  azeotropes?	
  Give	
  example.	
  	
   	
   	
   	
   	
   	
   	
   [2]	
  
A:	
  Azeotropes	
  are	
  binary	
  mixtures	
  having	
  the	
  same	
  composition	
  in	
  liquid	
  and	
  vapour	
  phase	
  
and	
  boil	
  at	
  a	
  constant	
  temperature.	
  
For	
  example:	
  ethanol-­‐water	
  mixture	
  
	
  
27)State	
  Raoult’s	
  law	
  of	
  relative	
  lowering	
  of	
  vapour	
  pressure.	
   	
   	
   	
   [1]	
  
A:	
  Relative	
  lowering	
  of	
  vapour	
  pressure	
  is	
  equal	
  to	
  the	
  mole	
  fraction	
  of	
  the	
  solute.	
  
	
  
28)Define	
  colligative	
  property.	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  The	
  properties	
  depend	
  on	
  the	
  number	
  of	
  solute	
  particles	
  irrespective	
  of	
  their	
  nature	
  
relative	
  to	
  the	
  total	
  number	
  of	
  particles	
  present	
  in	
  the	
  solution.	
  Such	
  properties	
  are	
  called	
  
colligative	
  properties	
  
	
  
29)Mention	
  four	
  colligative	
  properties	
  of	
  dilute	
  solutions.	
   	
   	
   	
   	
   [2]	
  
A:	
  Relative	
  lowering	
  of	
  vapour	
  pressure	
  
I. Elevation	
  in	
  Boiling	
  point	
  
II. Depression	
  in	
  Freezing	
  point	
  
III. Osmotic	
  pressure	
  
30)Define	
  the	
  term	
  relative	
  lowering	
  of	
  vapour	
  pressure.	
   	
   	
   	
   	
   [2]	
  
A:	
  It	
  is	
  the	
  ratio	
  of	
  lowering	
  of	
  vapour	
  pressure	
  to	
  the	
  vapour	
  pressure	
  of	
  the	
  pure	
  solvent	
  
o
o
P P
Relativeloweringof V.P
P
−
= 	
  
31)What	
  is	
  elevation	
  in	
  boiling	
  point?	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Elevation	
  in	
  boiling	
  point	
  is	
  the	
  difference	
  between	
  the	
  boiling	
  point	
  of	
  the	
  solution	
  
containing	
  non-­‐volatile	
  solute	
  and	
  the	
  boiling	
  point	
  of	
  the	
  pure	
  solvent	
  
∆Tb	
  =	
  T	
  –	
  To	
  
32)Give	
  the	
  relation	
  between	
  elevation	
  in	
  boiling	
  point	
  and	
  molecular	
  mass	
  of	
  solute.	
   [2]	
  
A:	
  	
  
ΔTb = Kb
2
1 2
w 1000
w M
×
×
	
  
Where w2 is mass of solute, w1 is the mass of the solvent; M2 is molar mass of the solute
 
33)Give	
  the	
  S.I.unit	
  of	
  ebullioscopic	
  constant	
  or	
  boiling	
  point	
  elevation	
  constant	
  or	
  molal	
  
elevation	
  constant.	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  The	
  unit	
  of	
  Kb	
  is	
  K	
  kg	
  mol-­‐1	
  
	
  
34)What	
  is	
  depression	
  infreezing	
  point?	
  	
   	
   	
   	
   	
   	
   	
   [1]	
  
	
  
A:	
  It	
  is	
  the	
  decrease	
  in	
  the	
  freezing	
  point	
  of	
  solution	
  when	
  non-­‐volatile	
  solute	
  is	
  added	
  into	
  
solvent.	
  
35)Give	
  the	
  relation	
  between	
  depression	
  infreezing	
  point	
  and	
  molecular	
  mass	
  of	
  solute.[2]	
  
A:	
  	
  
ΔTf = Kf
2
2
1
w
M
w
1000
∴ M2 = f 2
f 1
K 1000 w
T w
× ×
Δ ×
where M2 is molar mass of the solute.
Note: Values of Kf and Kb of the solvent depends on their molecular mass and ΔHfusion and ΔHvap
of the solvent respectively.
	
  
36)Give	
  the	
  S.I.unit	
  of	
  cryoscopic	
  constant.	
   	
   	
   	
   	
   	
   	
   [1]	
  
	
  
A:	
  The	
  unit	
  of	
  Kf	
  is	
  K	
  kg	
  mol-­‐1	
  
	
  
37)Draw	
  the	
  plot	
  showing	
  elevation	
  in	
  boiling	
  point	
  in	
  a	
  solution.	
   	
   	
   	
   [2]	
  
A:	
  	
  
	
   	
   	
   	
   	
  
	
  
	
  
	
   	
   	
   	
   ―∆Tb	
  ―	
  
	
  
	
   	
   Temperature/K	
  
	
  
	
  
	
  
Vapour	
  pressure	
  
Tb	
  Tb
0	
  
Solution	
  Solvent	
  
38)Draw	
  the	
  plot	
  showing	
  depression	
  in	
  freezing	
  point	
  in	
  a	
  solution.	
   	
   	
   [2]	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
   	
   	
   ―∆Tf―	
  
	
  
	
   	
   Temperature/K	
  
39)Define	
  osmosis.	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  The	
  process	
  of	
  movement	
  of	
  solvent	
  particles	
  from	
  lower	
  concentration	
  to	
  higher	
  
concentration	
  through	
  semi-­‐permeable	
  membrane	
  to	
  attain	
  equilibrium	
  is	
  called	
  osmosis.	
  
	
  
	
  
	
  
	
  
	
  
	
  
40)What	
  is	
  osmotic	
  pressure	
  and	
  give	
  its	
  relation	
  with	
  concentration	
  of	
  solution.	
   [2]	
  
A:	
  The	
  amount	
  of	
  external	
  pressure	
  required	
  to	
  stop	
  the	
  osmosis.	
  
=	
  CRT	
  	
  
Where:	
   =	
  osmotic	
  pressure,	
  R	
  =	
  gas	
  constant,	
  T	
  =	
  temperature,	
  C	
  =	
  concentration	
  of	
  solution.	
  
	
  
41)	
  What	
  are	
  isotonic	
  solutions?	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Two	
  different	
  solutions	
  having	
  sameosmotic	
  pressure	
  are	
  called	
  isotonic	
  solutions	
  
42)What	
  are	
  hypertonic	
  solutions?	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  The	
  solution	
  having	
  more	
  osmotic	
  pressure	
  than	
  other	
  
43)What	
  are	
  hypotonic	
  solutions?	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  The	
  solution	
  having	
  less	
  osmotic	
  pressure	
  than	
  other	
  
Tf	
   Tf
o	
  
Vapour	
  pressure	
  
Solution	
  
Liquid	
  solvent	
  
Frozen	
  solvent	
  
44)Explain	
  the	
  application	
  of	
  reverse	
  osmosis	
  in	
  desalination	
  of	
  water.	
   	
   	
   [2]	
  
A:	
  When	
  pressure	
  more	
  than	
  osmotic	
  pressure	
  is	
  applied,	
  pure	
  water	
  is	
  squeezed	
  out	
  of	
  the	
  
sea	
  water	
  through	
  the	
  membrane.	
  A	
  variety	
  of	
  polymer	
  membranes	
  are	
  available	
  for	
  this	
  
purpose.	
  
The	
  pressure	
  required	
  for	
  the	
  reverse	
  osmosis	
  is	
  quite	
  high.	
  A	
  workable	
  porous	
  membrane	
  is	
  
a	
  film	
  of	
  cellulose	
  acetate	
  placed	
  over	
  a	
  suitable	
  support.	
  Cellulose	
  acetate	
  is	
  permeable	
  to	
  
water	
  but	
  impermeable	
  to	
  impurities	
  and	
  ions	
  present	
  in	
  sea	
  water.	
  
45)What	
  is	
  reverse	
  osmosis?	
   	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  Movement	
  of	
  solvent	
  particles	
  from	
  higher	
  
concentration	
  to	
  lower	
  concentration	
  through	
  a	
  semi	
  
permeable	
  membrane,	
  when	
  pressure	
  is	
  applied	
  
greater	
  than	
  osmotic	
  pressure	
  
	
  
	
  
	
  
46)What	
  is	
  abnormal	
  molar	
  mass?	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  A	
  molar	
  mass	
  that	
  is	
  either	
  lower	
  or	
  higher	
  than	
  the	
  expected	
  or	
  normal	
  value	
  is	
  called	
  as	
  
abnormal	
  molar	
  mass.	
  
47)	
  Define	
  Vant	
  hoff	
  factor	
  
Van’t Hoff factor ‘i’ to account for the extent of association or dissociation of a solute in a solvent
is
i =
Normal molar mass
Abnormal molar mass
or
i =
observed colligative property
calculated colligative property
or
i =
total number of moles of particles after association or dissociation
Number of moles of particles before association or dissociation
48)What	
  is	
  the	
  value	
  of	
  i	
  for	
  NaCl.	
  	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  2	
  
	
  
49)What	
  is	
  the	
  value	
  of	
  i	
  for	
  K2SO4.	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  3	
  
50)What	
  is	
  the	
  value	
  of	
  i	
  for	
  sugar.	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  1	
  
51)What	
  is	
  the	
  value	
  of	
  i	
  for	
  glucose.	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  1	
  
52)On	
  what	
  factor	
  the	
  colligative	
  property	
  depends	
  on.	
   	
   	
   	
   	
   [1]	
  
A:	
  It	
  depends	
  on	
  number	
  of	
  moles	
  of	
  solute	
  particles	
  but	
  not	
  on	
  the	
  nature	
  of	
  the	
  solute.	
  
53)Write	
  the	
  mathematical	
  equation	
  of	
  Raoults	
  law	
  in	
  case	
  of	
  non-­‐volatile	
  solute.	
   [1]	
  
A:	
  If	
  one	
  of	
  the	
  components	
  (solute)	
  is	
  non-­‐volatile	
  then	
  the	
  equation	
  of	
  Raoults	
  law	
  is.	
  
PB=	
  O	
  
P	
  =	
  PA	
  +	
  PB	
  
P	
  =	
  PA	
  +	
  O	
  
P	
  =	
  PA	
  
	
  
54)Write	
  the	
  differentiate	
  between	
  non-­‐ideal	
  solutions	
  with	
  positive	
  deviation	
  and	
  
negative	
  deviation	
  from	
  Raoult’s	
  law	
  	
   	
   	
   	
   	
   	
   	
   [2]	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
55)Define	
  lowering	
  of	
  vapour	
  pressure?	
  	
   	
   	
   	
   	
   	
   	
   [1]	
  
A:	
  It	
  is	
  defined	
  as	
  the	
  difference	
  between	
  the	
  vapor	
  pressure	
  of	
  the	
  solvent	
  in	
  pure	
  state	
  and	
  the	
  
vapour	
  pressure	
  of	
  the	
  solution	
  	
  
∆P	
  =	
  Po	
  –	
  P	
  	
  
56)State	
  Roult’s	
  law	
  of	
  relative	
  lowering	
  of	
  vapour	
  pressure	
  	
   	
   	
   	
   [1]	
  
A:	
  It	
  states	
  that	
  the	
  relative	
  lowering	
  of	
  vapour	
  pressure	
  is	
  equal	
  to	
  the	
  mole	
  fraction	
  of	
  the	
  
solute	
  	
  
	
  
Positive	
  deviation	
  
	
  
(a)In	
  this	
  solution	
  solvent	
  –	
  
solute	
  interaction	
  is	
  weaker	
  
than	
  solvent	
  –	
  solvent,	
  
solute-­‐solute	
  interactions	
  	
  
(b)	
  P	
  >	
  PA	
  +	
  PB	
  
(c)	
  ∆	
  V	
  >	
  O	
  
(d)	
  ∆H	
  =	
  positive	
  
(e)	
  	
  	
  It	
  forms	
  azeotrope	
  with	
  
minimum	
  boiling	
  point	
  	
  
Negative	
  deviation	
  
	
  
(a)	
  	
  	
  In	
  this	
  solution	
  solvent	
  
–	
  solute	
  interaction	
  is	
  
stronger	
  than	
  solvent	
  –	
  
solvent,	
  solute-­‐solute	
  
interactions	
  
(b)	
  P	
  <	
  PA	
  +	
  PB	
  
(c)	
  	
  ∆	
  V	
  <	
  O	
  
(d)	
  ∆H	
  =	
  negative	
  
(e)It	
  forms	
  azeotrope	
  with	
  
maximum	
  boiling	
  point	
  	
  
	
  
P	
  =	
  PA
O.	
  XA	
  
57)Why	
  sea	
  water	
  freezes	
  below	
  00C?	
   	
   	
   	
   	
   	
   	
   	
   [1]	
  
	
  
A:	
  Sea	
  water	
  freezes	
  below	
  00C	
  due	
  to	
  the	
  presence	
  of	
  the	
  non-­‐volatile	
  solute	
  dissolved	
  in	
  the	
  
water.	
  
	
  
58)Derive	
  the	
  equation	
  to	
  calculate	
  molecular	
  mass	
  of	
  unknown	
  solute	
  using	
  Raoult’s	
  law	
  
of	
  relative	
  lowering	
  of	
  V.P	
   	
   	
   	
   	
   	
   	
   	
   	
   [3]	
  
A:	
  According	
  to	
  Raoult’s	
  law	
  relative	
  lowering	
  of	
  vapour	
  pressure	
  is	
  equal	
  to	
  the	
  mole	
  fraction	
  
of	
  the	
  solute.	
  
o
Bo
P P
X
P
−
= 	
  
o nP P B
o n nP BA
−
=
+
	
  
nB<<<nA	
  for	
  dilute	
  solution	
  
So	
  we	
  can	
  neglect	
  	
  nB	
  in	
  denominator	
  	
  
o nP P B
o nP A
−
= 	
  
B
B
A
A
W
o MP P
o WP
M
−
= 	
  
o MWP P B A
o W MP BA
−
= 	
  
B A
B
A
oW .M P
M oW P P
⎛ ⎞
= ⎜ ⎟
−⎝ ⎠
	
  
	
  
	
  
	
  
Numerical	
  problems	
  
1. A	
  solution	
  containing	
  2.56	
  g	
  sulphur	
  in	
  100	
  g	
  CS2	
  gave	
  a	
  freezing	
  point	
  lowering	
  of	
  0.383	
  K.	
  
Calculate	
  the	
  molar	
  mass	
  of	
  sulphur	
  molecules.	
  Given	
  Kf	
  of	
  CS2	
  =	
  3.83	
  K	
  kg	
  mol−
1
.	
  
Ans.	
  ΔTf	
  =	
  0.383	
  K,	
   	
   Kf	
  =	
  3.83	
  K	
  kg	
  mol−
1
	
  
ΔTf	
  =	
  Kf	
  ×	
  m	
   	
   ;	
   ΔTf	
  =	
  Kf	
  ×	
  
2
2
1
W
M
W
1000
	
  
M2	
  (molar	
  mass	
  of	
  sulphur	
  molecules)	
  =	
  
2.56 1000 3.83
100 0.383
× ×
×
	
  =	
  256	
  g	
  mol−
1
	
  
2. 100	
  g	
  of	
  water	
  has	
  3g	
  of	
  urea	
  dissolved	
  in	
  it.	
  Calculate	
  the	
  freezing	
  point	
  of	
  the	
  solution.	
  Kf	
  for	
  
water	
  =	
  1.86	
  K	
  kg	
  mol−
1
,	
  molar	
  mass	
  of	
  urea	
  =	
  60	
  g	
  mol−
1
,	
  	
  freezing	
  point	
  of	
  water	
  =	
  273.15	
  K	
  
(0°C)	
  
Ans.	
  ΔTf	
  =	
  Kf	
  ×	
  m	
  	
   	
   ;	
   ΔTf	
  =	
  1.86	
  ×	
  
2
2
1
W
M
W
1000
	
   	
   ΔTf	
  =	
  1.86	
  ×
3 1000
60 100
×
×
	
  =	
  0.93	
  
	
   ΔTf	
  =	
   0
f fT T− 	
   	
   	
   	
   ∴	
  Tf	
  =	
  273.15	
  −	
  0.93	
  =	
  	
  272.22	
  	
   or	
   	
   −0.93°C	
  
3. Human	
   blood	
   has	
   osmotic	
   pressure	
   of	
   7.2	
   atm	
   at	
   body	
   temperature	
   of	
   37°C.	
   Calculate	
   the	
  
molar	
  concentration	
  of	
  solute	
  particles	
  in	
  blood.	
  	
  Given	
  R	
  =	
  0.0821	
  L	
  atm	
  K−
1
.	
  
Ans.	
  	
  π	
  =	
  CRT	
  	
   ;	
   	
   C	
  =	
  
RT
π
	
   	
   	
   T	
  =	
  273	
  +	
  37	
  =	
  310	
  K	
  
C	
  (molar	
  concentration)	
  =	
  
7.2
0.0821 310×
	
  =	
  0.2828	
  M	
  
4. Vapour	
  pressure	
  of	
  benzene	
  is	
  200	
  mm	
  of	
  Hg.	
  2g	
  of	
  a	
  non-­‐volatile	
  solute	
  in	
  78	
  g	
  benzene	
  has	
  
vapour	
   pressure	
   of	
   195	
   mm	
   of	
   Hg.	
   Calculate	
   the	
   molar	
   mass	
   of	
   the	
   solute.	
   Molar	
   mass	
   of	
  
benzene	
  =	
  78	
  g	
  mol−
1
.	
  
Ans.	
   2
1
nP P
P n
°−
=
°
	
  ;	
  
2
2
1
1
W
MP P
WP
M
°−
=
°
	
   	
  
200 195
200
−
	
  =	
   2
2
M
78
78
;	
   	
   	
  
	
   Molar	
  mass	
  of	
  solute	
  (M2)	
  =	
  
200 2
5
×
	
  =	
  80	
  g	
  mol−
1
	
  
5. 500	
  g	
  of	
  water	
  containing	
  27	
  g	
  of	
  a	
  non-­‐volatile	
  solute	
  will	
  boil	
  at	
  100.156°C.	
  Calculate	
  the	
  
molar	
  mass	
  of	
  the	
  solute.	
  Given	
  boiling	
  point	
  of	
  water	
  =	
  100°C,	
  Kb	
  =	
  0.52	
  K	
  kg	
  mol−
1
.	
  
Ans.	
  ΔTb	
  =	
  Kb	
  ×	
  m	
   ;	
   ΔTb	
  =	
  Kb	
  ×	
  
2
2
1
W
M
W
1000
	
  
	
   Molar	
  mass	
  of	
  solute	
  (M2)	
  =	
  
0.52 27 1000
500 0.156
× ×
×
	
  =	
  180	
  g	
  mol−
1
.	
  
	
  
	
  
Unit	
  3	
  
Electrochemistry	
  
One	
  mark	
  questions	
  
1. What	
  is	
  an	
  electrolyte?	
  
An	
  electrolyte	
  is	
  a	
  compound	
  which	
  conducts	
  electricity	
  either	
  in	
  its	
  aqueous	
  solution	
  or	
  in	
  its	
  molten	
  
state.	
  
e.g	
  	
  Acids	
  	
  HCl,	
  CH3COOH,	
  HNO3	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Bases	
  	
  NaOH,	
  NH4OH	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Salts	
  	
  	
  	
  CuSO4,	
  NaCl	
  	
  etc	
  	
  
	
  
2. Define	
  conductivity	
  of	
  an	
  electrolytic	
  solution.	
  
Conductivity	
  of	
  a	
  solution	
  of	
  an	
  electrolyte	
  is	
  the	
  conductance	
  of	
  a	
  solution	
  placed	
  between	
  two	
  
electrodes	
  each	
  of	
  one	
  square	
  meter	
  area	
  kept	
  at	
  a	
  distance	
  of	
  1	
  meter	
  apart.	
  
	
  
3. Write	
  the	
  S.I	
  unit	
  for	
  conductivity.	
  
SI	
  unit	
  for	
  conductivity	
  is	
  Sm-­‐1
.	
  
	
  
4. Give	
  the	
  S.I	
  unit	
  for	
  molar	
  conductivity.	
  
Sm2
	
  mol-­‐1	
  
	
  
5. State	
  Kohlrausch	
  	
  Law.	
  
The	
  limiting	
  molar	
  conductivity	
  of	
  an	
  electrolyte	
  can	
  be	
  represented	
  as	
  the	
  sum	
  of	
  the	
  individual	
  
contributions	
  of	
  the	
  anion	
  and	
  cation	
  of	
  the	
  electrolyte.	
  
	
  
6. Define	
  electrode	
  potential.	
  
The	
  potential	
  difference	
  developed	
  between	
  the	
  electrode	
  (metal)	
  and	
  the	
  electrolyte	
  (solution	
  
containing	
  its	
  own	
  ions)	
  when	
  both	
  the	
  metal	
  and	
  the	
  solution	
  are	
  in	
  equilibrium	
  is	
  called	
  electrode	
  
potential.	
  
	
  
7. Define	
  standard	
  electrode	
  potential.	
  
Standard	
  electrode	
  potential	
  is	
  the	
  electrode	
  potential	
  when	
  the	
  concentrations	
  of	
  all	
  the	
  species	
  
involved	
  is	
  unity	
  (1M)	
  and	
  if	
  a	
  gas	
  is	
  involved	
  its	
  pressure	
  should	
  be	
  1	
  bar.	
  	
  	
  
	
  
8. Write	
  Nernst	
  Equation.	
  
⎡ ⎤⎣ ⎦
n+ n+
o
10 n+( M / M) ( M / M)
0.059 1
E = E - log
n M
	
  
	
  
9. State	
  Faradays	
  second	
  law	
  of	
  electrolysis.	
  
The	
  amounts	
  of	
  different	
  substances	
  liberated	
  by	
  the	
  same	
  quantity	
  of	
  electricity	
  passing	
  through	
  the	
  
electrolytic	
  solution	
  are	
  proportional	
  to	
  their	
  chemical	
  equivalent	
  weights.	
  
10. Define	
  cell	
  potential.	
  
Cell	
  potential	
  is	
  the	
  potential	
  difference	
  between	
  the	
  two	
  electrodes	
  of	
  the	
  galvanic	
  cell.	
  
	
  
11. Define	
  EMF	
  of	
  the	
  cell.	
  
It	
  is	
  the	
  difference	
  between	
  the	
  electrode	
  potential	
  of	
  the	
  cathode	
  and	
  anode	
  when	
  no	
  current	
  is	
  
drawn	
  through	
  the	
  cell.	
  
	
  
12. What	
  is	
  Fuel	
  cell?	
  
Galvanic	
  cells	
  that	
  are	
  designed	
  to	
  convert	
  the	
  energy	
  of	
  combustion	
  of	
  fuels	
  like	
  hydrogen,	
  methane	
  
etc	
  directly	
  into	
  electrical	
  energy	
  are	
  called	
  fuel	
  cells.	
  
	
  
13. Give	
  a	
  method	
  to	
  prevent	
  rusting.	
  
Rusting	
  may	
  be	
  prevented	
  by	
  barrier	
  protection	
  like	
  painting,	
  metal	
  plating	
  etc.	
  
	
  
14. Write	
  the	
  relationship	
  between	
  cell	
  potential	
  and	
  Gibb’s	
  energy	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
o o
r cellG nFEΔ = − 	
  
15. Write	
  the	
  relationship	
  between	
  equilibrium	
  constant	
  and	
  Eo
cell
	
  
0.059
logo
cell c
V
E K
n
= 	
  	
  
2	
  mark	
  questions	
  
1. What	
  are	
  redox	
  reactions?	
  Give	
  an	
  example.	
  
Reactions	
  in	
  which	
  both	
  oxidation	
  and	
  reduction	
  taken	
  place	
  simultaneously	
  are	
  called	
  redox	
  reactions.	
  
e.g	
  	
  	
  	
   ⎯⎯→2+ 2+
Zn+Cu Zn +Cu	
  
	
  In	
  this	
  Zn	
  is	
  oxidised	
  to	
  Zn2+	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Cu2+
	
  is	
  reduced	
  to	
  Cu	
  
	
  
2. Mention	
  any	
  two	
  factors	
  on	
  which	
  the	
  conductivity	
  of	
  an	
  electronic	
  conductor	
  depends.	
  
The	
  electronic	
  conductance	
  depends	
  on	
  	
  
(i) The	
  nature	
  and	
  structure	
  of	
  the	
  metal	
  
(ii) The	
  number	
  of	
  valence	
  electrons	
  per	
  atom.	
  
(iii) 	
  Temperature	
  (it	
  decreases	
  with	
  increase	
  in	
  the	
  temperature)	
  (any	
  two)	
  
	
  
3. Mention	
  any	
  two	
  factors	
  on	
  which	
  the	
  conductivity	
  of	
  an	
  electrolytic	
  conductor	
  depends.	
  
The	
  conductivity	
  of	
  electrolytic	
  solution	
  depends	
  upon	
  	
  
(i)	
  	
  The	
  nature	
  of	
  the	
  electrolyte	
  
(ii)	
  	
  Size	
  of	
  the	
  ions	
  produced	
  and	
  their	
  solvation.	
  
(iv) The	
  nature	
  of	
  the	
  solvent	
  and	
  its	
  viscosity.	
  
(iv)	
  	
  Concentration	
  of	
  the	
  electrolyte	
  and	
  
	
  (v)	
  Temperature	
  (increases	
  with	
  increase	
  in	
  temperature	
  (any	
  two)	
  
	
  
4. Give	
  two	
  difference	
  between	
  the	
  conductivity	
  of	
  an	
  electronic	
  conductor	
  and	
  electrolytic	
  conductor.	
  
	
  
1.	
  On	
  passing	
  direct	
  current	
  composition	
  of	
  electronic	
  conductor	
  does	
  not	
  change	
  but	
  that	
  of	
  	
  
	
  	
  	
  	
  	
  electrolytic	
  conductor	
  changes.	
  
2.	
  On	
  increasing	
  the	
  temperature	
  in	
  case	
  of	
  electronic	
  conductor	
  conductivity	
  decreases	
  in	
  case	
  of	
  	
  
	
  	
  	
  	
  	
  electrolytic	
  conductor	
  conductivity	
  increases.	
  
	
  
5. What	
  is	
  a	
  strong	
  electrolyte?	
  Give	
  an	
  example.	
  
A	
  strong	
  electrolyte	
  is	
  an	
  electrolyte	
  that	
  dissociates	
  completely	
  into	
  ions	
  at	
  moderate	
  concentrations	
  
of	
  its	
  aqueous	
  solution	
  
Ex:	
  acids	
  HCl,	
  H2SO4,	
  HNO3	
  
Base	
  NaOH,	
  KOH	
  
Salts	
  NaCl,	
  CuSO4	
  (any	
  salt)	
  
	
  
6. What	
  is	
  a	
  weak	
  electrolyte?	
  Give	
  an	
  example.	
  
A	
  weak	
  electrolyte	
  is	
  an	
  electrolyte	
  that	
  dissociates	
  partially	
  into	
  ions	
  in	
  its	
  aqueous	
  solution.	
  
Ex:	
  CH3COOH,	
  NH4OH	
  
	
  
7. Define	
  molar	
  conductivity.	
  How	
  is	
  it	
  related	
  to	
  conductivity?	
  
Molar	
  conductivity	
  of	
  a	
  solution	
  at	
  a	
  given	
  concentration	
  is	
  the	
  conductance	
  of	
  the	
  volume	
  V	
  of	
  a	
  
solution	
  containing	
  one	
  mole	
  of	
  electrolyte	
  kept	
  between	
  two	
  electrodes	
  with	
  area	
  of	
  cross	
  section	
  A	
  
and	
  distance	
  of	
  unit	
  length.	
  	
  	
  
It	
  is	
  represented	
  by	
  λm	
  
λm	
  =	
  kv	
  	
  where	
  k	
  is	
  conductivity	
  and	
  v	
  is	
  volume	
  of	
  the	
  solution	
  containing	
  1	
  mole	
  of	
  the	
  electrolyte	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  or	
  
If	
  λm	
  	
  is	
  in	
  Sm2
mol-­‐1
	
  and	
  k	
  in	
  Sm-­‐1
	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   m
k
λ =
1000C
	
  	
  	
  	
  	
  where	
  C	
  is	
  conc.	
  in	
  mol	
  L-­‐1
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  or	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  When	
  λm	
  	
  	
  	
  is	
  in	
  S	
  cm2
mol-­‐1
	
  and	
  k	
  is	
  in	
  Scm-­‐1
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   m
1000k
λ =
C
	
  
	
  
8. How	
  does	
  conductivity	
  of	
  a	
  solution	
  change	
  with	
  change	
  in	
  concentration	
  of	
  the	
  solution?	
  Give	
  
reason.	
  
	
  
Conductivity	
  of	
  a	
  solution	
  decreases	
  with	
  decrease	
  in	
  concentration	
  of	
  the	
  solution	
  due	
  to	
  decrease	
  in	
  
the	
  number	
  of	
  ions	
  per	
  unit	
  volume	
  of	
  the	
  solution.	
  	
  
	
  
	
  
9. Define	
  limiting	
  molar	
  conductivity.	
  Write	
  the	
  relationship	
  between	
  molar	
  conductivity	
  and	
  limiting	
  
molar	
  conductivity.	
  
Limiting	
  molar	
  conductivity	
  is	
  the	
  molar	
  conductivity	
  of	
  a	
  solution	
  when	
  concentration	
  approaches	
  zero	
  
or	
  molar	
  conductivity	
  at	
  infinite	
  dilution.	
  
1
o 2
m mλ = λ - AC 	
  where	
  λm	
  is	
  molar	
  conductivity	
  and	
  λo
m	
  is	
  limiting	
  molar	
  conductivity,	
  C	
  is	
  
concentration	
  in	
  mole/L	
  and	
  A	
  is	
  constant	
  which	
  depends	
  on	
  nature	
  of	
  the	
  electrolyte,	
  solvent	
  and	
  
temperature.	
  
	
  
10. Draw	
  a	
  graph	
  of	
  molar	
  conductivity	
  verses	
  square	
  root	
  	
  of	
  the	
  molar	
  concentration	
  for	
  KCl	
  and	
  
CH3COOH	
  mentioning	
  clearly	
  each.	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  
	
  
11. How	
  is	
  limiting	
  molar	
  conductivity	
  for	
  a	
  strong	
  electrolyte	
  found	
  out	
  by	
  extrapolation	
  method?	
  
Prepare	
  four	
  solutions	
  of	
  given	
  strong	
  electrolyte	
  of	
  different	
  concentrations.	
  Measure	
  the	
  
conductivities	
  of	
  each	
  solutions	
  using	
  conductivity	
  cell	
  and	
  calculate	
  the	
  molar	
  conductivities	
  of	
  each	
  
solution.	
  Plot	
  a	
  graph	
  of	
  molar	
  conductivity	
  verses	
  square	
  root	
  of	
  the	
  molar	
  concentration	
  for	
  these	
  
solutions.	
  A	
  straight	
  line	
  is	
  obtained	
  which	
  is	
  to	
  be	
  extrapolated	
  back	
  so	
  	
  as	
  to	
  touch	
  the	
  vertical	
  axes	
  
.This	
  point	
  of	
  intersection	
  on	
  the	
  vertical	
  axes	
  gives	
  the	
  limiting	
  molar	
  conductivity.	
  
	
  
12. State	
  and	
  illustrate	
  Faradays	
  first	
  law	
  of	
  electrolysis.	
  
The	
  amount	
  of	
  chemical	
  reaction	
  which	
  occurs	
  at	
  any	
  electrode	
  during	
  electrolysis	
  by	
  a	
  current	
  is	
  
proportional	
  to	
  the	
  quantity	
  of	
  electricity	
  passed	
  through	
  the	
  electrolyte	
  either	
  through	
  its	
  aqueous	
  
solution	
  or	
  molten	
  state.	
  	
  
If	
  w	
  is	
  the	
  mass	
  of	
  the	
  substance	
  deposited	
  and	
  Q	
  is	
  the	
  current	
  passed	
  in	
  coulombs	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
   	
  	
  w	
  ∝	
  	
  Q	
  
But	
  Q	
  =	
  I	
  t	
  	
  where	
  I	
  is	
  the	
  current	
  strength	
  in	
  ampere	
  and	
  t	
  is	
  time	
  in	
  seconds.	
  
	
  
13. Conductivity	
  of	
  0.01	
  M	
  NaCl	
  solution	
  is	
  0.12	
  Sm-­‐1
.	
  Calculate	
  its	
  molar	
  conductivity.	
  
-2 2
m
k 0.12
λ = = =1.2 ×10 Sm / mol
1000C 1000 × 0.01
	
  
	
  
	
  
14. 	
  The	
  molar	
  conductivity	
  of	
  0.1M	
  nitric	
  acid	
  is	
  630	
  S	
  cm2
	
  /mol.	
  Calculate	
  its	
  conductivity.	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
m
-1
1000k
λ =
C
1000k
630 =
0.1
630 × 0.1
∴ k = = 0.063 Scm
1000
	
  
	
  
15. A	
  solution	
  of	
  Ni(NO3)2	
  is	
  electrolysed	
  	
  between	
  platinum	
  electrodes	
  using	
  a	
  	
  current	
  of	
  5	
  amperes	
  for	
  
20	
  minutes.	
  	
  What	
  mass	
  of	
  nickel	
  is	
  deposited	
  at	
  the	
  cathode?	
  (Mol	
  mass	
  of	
  Ni	
  =	
  58.7)	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Q	
  =	
  I	
  	
  t	
  	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  5×20×60	
  =	
  6000C	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
⎯⎯⎯⎯⎯→2+ -
Ni + 2e Ni
2 × 96500C
193000C 58.7g
	
  
For	
  193000C	
  of	
  electricity	
  mass	
  of	
  nickel	
  obtained	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  58.7g	
  
For	
  6000C	
  of	
  electricity	
  	
  	
  	
  	
  
6000 × 58.7
=1.812g
193000
	
  
	
  
16. How	
  long	
  it	
  will	
  take	
  for	
  the	
  deposition	
  of	
  	
  0.2g	
  of	
  silver	
  when	
  silver	
  nitrate	
  solution	
  is	
  electrolysed	
  
using	
  0.5	
  ampere	
  of	
  current	
  (Mol	
  mass	
  of	
  Ag	
  =	
  108)	
  	
  
	
  
⎯⎯→+ -
Ag + e Ag
96500C 108g
	
  
For	
  108g	
  of	
  silver	
  to	
  be	
  deposited	
  current	
  required	
  is	
  96500C.	
  
For	
  0.2g	
  of	
  Ag	
  	
  
	
  
But	
  Q	
  =	
  I	
  t	
  	
  	
  	
  
0.2 × 96500
=178.7C = Q
108
	
  
Q 178.7
t = = = 357.4 se
I 0.5
	
  
17. 	
  	
  The	
  cell	
  in	
  which	
  the	
  following	
  reaction	
  occurs	
   3 2
( ) ( ) ( ) 2( )2 2 2aq aq aq sFe I Fe I+ − +
+ ⎯⎯→ + 	
  
Has	
  Eo
cell	
  =	
  0.236V	
  at	
  298K.	
  Calculate	
  the	
  standard	
  Gibb’s	
  energy	
  and	
  the	
  equilibrium	
  constant	
  for	
  the	
  
cell	
  reaction.	
  
	
  	
  	
  	
   	
   	
   	
  	
  n	
  =	
  2	
  
	
  	
  	
  	
  	
  	
   	
   	
   Δ.Go
	
  =	
  -­‐nFEo	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
   	
   	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  -­‐	
  2×96500×0.236	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  -­‐	
  45548	
  J	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
0.059
logcellE K
n
= 	
  
 	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
0.059
0.236 log
2
K= 	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
2 0.236
log 8
0.059
K
×
= = 	
  
Taking	
  the	
  antilog	
  	
  K	
  =	
  108	
  	
  
	
  
18. Write	
  the	
  reaction	
  taking	
  place	
  at	
  cathode	
  and	
  anode	
  when	
  aqueous	
  solution	
  of	
  copper	
  sulphate	
  is	
  
electrolysed	
  using	
  copper	
  electrodes.	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
2
( ) ( )
2
( ) ( )
t 2
t 2
anode
cathode
oxdn
s aq
redn
aq s
A Cu Cu e
A Cu e Cu
+ −
+ −
⎯⎯⎯→ +
+ ⎯⎯⎯→
	
  
Thus	
  copper	
  from	
  anode	
  dissolves	
  and	
  an	
  equivalent	
  amount	
  of	
  pure	
  copper	
  is	
  deposited	
  on	
  cathode.	
  
This	
  technique	
  is	
  used	
  in	
  electrolytic	
  refining	
  of	
  crude	
  copper.	
  	
  
	
  
19. Write	
  the	
  reaction	
  taking	
  place	
  at	
  anode	
  and	
  cathode	
  when	
  molten	
  NaCl	
  is	
  electrolysed.	
  
When	
  molten	
  sodium	
  chloride	
  is	
  	
  electrolysed	
  using	
  inert	
  electrodes	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   22 2t anode oxdn
redn
A Cl Cl e
At cathode Na e Na
− −
+ −
⎯⎯⎯→ +
+ ⎯⎯⎯→
	
  
Thus	
  chlorine	
  gas	
  is	
  	
  liberated	
  at	
  anode	
  and	
  Sodium	
  metal	
  is	
  formed	
  at	
  cathode.	
  
	
  
20. Write	
  the	
  reaction	
  taking	
  place	
  when	
  aqueous	
  solution	
  of	
  NaCl	
  is	
  electrolysed.	
  
When	
  aqueous	
  solution	
  of	
  NaCl	
  is	
  electrolysed,	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
2
NaCl Na Cl
H O H OH
+ −
+ −
⎯⎯→ +
+à àÜá àà
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
The	
  reaction	
  taking	
  place	
  at	
  cathode	
  is	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   2( )
1
2
aq gH e H+ −
+ ⎯⎯→ 	
  
The	
  reaction	
  taking	
  place	
  at	
  anode	
  is	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   ⎯⎯→- -
aq 2 aq
1
Cl Cl + e
2
	
  
	
  
21. What	
  is	
  a	
  primary	
  battery/cell	
  ?Give	
  an	
  example.	
  
Primary	
  battery	
  is	
  one	
  in	
  which	
  reaction	
  occurs	
  only	
  once	
  and	
  cannot	
  be	
  recharged.	
  Eg	
  Dry	
  cell	
  or	
  
Leclanche	
  cell	
  and	
  Mercury	
  cell	
  
	
  
22. What	
  is	
  a	
  secondary	
  battery/cell	
  ?	
  Give	
  an	
  example.	
  
Secondary	
  battery	
  is	
  one	
  	
  which	
  can	
  be	
  recharged	
  by	
  passing	
  current	
  through	
  it	
  in	
  opposite	
  direction,so	
  
that	
  it	
  can	
  be	
  Reused.	
  
Eg:	
  	
  Lead	
  storage	
  battery	
  and	
  Nickel	
  cadmium	
  cell.	
  
	
  
23. Eo
Cu	
  =	
  +0.34V	
  and	
  Eo
Zn	
  =-­‐0.76V.	
  Daniel	
  cell	
  is	
  obtained	
  by	
  coupling	
  these	
  two	
  electrodes.	
  
(i)	
  represent	
  the	
  cell	
  symbolically	
  
(ii)	
  calculate	
  the	
  EMF	
  of	
  the	
  cell	
  
	
  
(i)	
  Daniel	
  cell	
  can	
  be	
  represented	
  as	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Zn/	
  Zn2+	
  
(aq)	
  ||	
  Cu2+	
  
(aq)	
  /Cu	
  
	
  
(ii)	
  EMF	
  of	
  Daniel	
  cell	
  Eo
	
  cell	
  =	
  Eo
R	
  -­‐	
  Eo
L	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  Eo
Cu	
  -­‐	
  Eo
Zn	
  =	
  0.34-­‐(-­‐0.76)	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  1.10V	
  
	
  
24. Calculate	
  the	
  molar	
  conductivity	
  of	
  a	
  solution	
  of	
  MgCl2	
  at	
  infinite	
  dilution	
  given	
  that	
  the	
  molar	
  ionic	
  
conductivities	
  of	
  	
   2+ -
o 2 -1 o 2 -1
( Mg ) ( Cl )
λ =106.1 Scm mol and λ = 76.3 Scm mol 	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
2+ -
2
o o o
MgCl Mg Cl
2 -1
λ = λ + 2λ
=106.1+ 2( 76.3)
= 258.7 Scm mol
	
  
	
  
25. The	
  resistance	
  of	
  a	
  conductivity	
  cell	
  containing	
  0.001	
  M	
  KCl	
  solution	
  at	
  298K	
  is	
  1500Ω.	
  What	
  is	
  the	
  
cell	
  constant	
  if	
  the	
  conductivity	
  of	
  0.001M	
  KCl	
  solution	
  at	
  298K	
  is	
  0.146×10-­‐3
	
  Scm-­‐1
?	
  
	
  
Cell	
  constant	
  G*=	
  Rk	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =resistance	
  ×	
  conductivity	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =0.146×10-­‐3
	
  Scm-­‐1
×1500S-­‐1
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  0.219	
  cm-­‐1
	
  
	
  
Question	
  carrying	
  3	
  or	
  4	
  marks	
  
	
  
1. Explain	
  the	
  construction	
  of	
  Daniel	
  cell.	
  Write	
  the	
  reaction	
  taking	
  place	
  at	
  anode	
  and	
  cathode	
  and	
  the	
  net	
  
cell	
  reaction.	
  (3	
  mark)	
  
To	
  prepare	
  Daniel	
  cell	
  get	
  a	
  zinc	
  electrode	
  by	
  dipping	
  zinc	
  rod	
  in	
  1M	
  ZnSO4	
  solution.	
  Get	
  a	
  copper	
  
electrode	
  by	
  dipping	
  a	
  copper	
  plate	
  in	
  1	
  M	
  CuSO4	
  solution.	
  Couple	
  these	
  two	
  electrodes	
  using	
  a	
  salt	
  bridge	
  
to	
  get	
  Daniel	
  cell.	
  Reactions	
  taking	
  place	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
2
2
2 2
( ) ( ) ( ) ( )
t anode 2
cathode 2
oxdn
redn
s aq aq s
A Zn Zn e
At Cu e Cu
Net cell reaction Zn Cu Zn Cu
+
−
+ −
+ +
⎯⎯⎯→ +
+ ⎯⎯⎯→
+ ⎯⎯→ +
	
  
	
  
2. With	
  a	
  labeled	
  digram	
  explain	
  standar	
  hydrogen	
  electrode.	
  Represent	
  it	
  symbolically.	
  Write	
  the	
  reduction	
  
reaction	
  at	
  the	
  anode.	
  What	
  is	
  its	
  electrode	
  potential?	
  	
  (4	
  marks)	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
	
  
It	
  consists	
  of	
  a	
  	
  platinum	
  electrode	
  coated	
  with	
  platinum	
  black.	
  The	
  electrode	
  is	
  dipped	
  in	
  1M	
  HCl.	
  Pure	
  
hydrogen	
  gas	
  is	
  bubbled	
  through	
  it	
  under	
  a	
  pressure	
  of	
  1	
  bar.	
  S.H.E	
  is	
  represented	
  as	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Pt(s)	
  |H2	
  (g)(1bar)	
  |H+
(aq)(1M)	
  	
  	
  	
  	
  
The	
  reduction	
  reaction	
  taking	
  place	
  is	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   2
1
( ) ( )
2
H aq e H g+ −
+ ⎯⎯→ 	
  
S.H.E	
  is	
  assigned	
  an	
  electrode	
  potential	
  of	
  0.0	
  V	
  at	
  all	
  temperatures.	
  	
  
	
  
3. Explain	
  the	
  use	
  of	
  standard	
  hydrogen	
  electrode	
  in	
  measuring	
  the	
  standard	
  	
  electrode	
  potentials	
  of	
  copper	
  
and	
  zinc	
  electrode	
  (4	
  mark)	
  
Construct	
  a	
  standard	
  electrode	
  of	
  the	
  given	
  metal	
  by	
  dipping	
  the	
  pure	
  metal	
  in	
  1M	
  solution	
  of	
  its	
  own	
  ion	
  
at	
  25o
	
  C	
  Couple	
  this	
  standard	
  electrode	
  with	
  SHE	
  using	
  a	
  salt	
  bridge	
  to	
  get	
  galvanic	
  cell.	
  Measure	
  the	
  emf	
  
of	
  the	
  cell	
  using	
  suitable	
  instrument	
  like	
  potentiometer.	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Eo
	
  =	
  Eo
R	
  –	
  Eo
L	
  	
  
One	
  of	
  the	
  electrodes	
  of	
  the	
  cell	
  is	
  SHE	
  and	
  its	
  electrode	
  potential	
  is	
  0.0V.	
  So	
  the	
  electrode	
  potential	
  of	
  the	
  
given	
  electrode	
  will	
  be	
  the	
  emf	
  of	
  the	
  cell	
  in	
  magnitude.	
  If	
  reduction	
  takes	
  place	
  at	
  the	
  given	
  electrode	
  its	
  
Eo
	
  will	
  be	
  +ve	
  but	
  if	
  oxidation	
  takes	
  place	
  at	
  the	
  given	
  electrode	
  is	
  Eo
	
  will	
  be	
  –ve.	
  	
  
e.g	
  if	
  SHE	
  is	
  coupled	
  with	
  standard	
  copper	
  electrode	
  reduction	
  takes	
  place	
  at	
  copper	
  electrode	
  cell	
  can	
  be	
  
represented	
  as	
  
	
  	
  Pt	
  (s)	
  |H2(g.	
  1bar)|H+
(aq1M)||Cu2+
(aq.1M)|Cu	
  
2+ +
2
o o o
cell Cu / Cu H / H
E = E - E 	
  
2+ 2+
o o
Cu / Cu Cu / Cu
0.34 = E - 0 ∴E = 0.34V 	
  	
  	
  	
  	
  
	
  If	
  SHE	
  coupled	
  with	
  standard	
  zinc	
  electrode	
  oxidation	
  takes	
  place	
  at	
  zinc	
  electrode.	
  Cell	
  can	
  be	
  
represented	
  as	
  	
  
2
( .1 ) ( ) ( ) 2( .1 ) ( .1 )/aq M s s g bar aq MZn Zn Pt H H+ +
⏐⏐ ⏐ ⏐ 	
  
2
2/ /
o o o
H H Zn Zn
E cell E E+ += − 	
  
2 2 //
0.76 0 0.76o
ZnZn Zn Zn
E E V+ += − ∴ = − 	
  
	
  
4. How	
  is	
  Kohlrausch	
  law	
  helpful	
  in	
  finding	
  out	
  the	
  limiting	
  molar	
  conductivity	
  of	
  a	
  weak	
  electrolyte?	
  (3	
  m)	
  
Let	
  us	
  try	
  to	
  calculate	
  λo
m	
  for	
  a	
  weak	
  electrolyte	
  CH3COOH.	
  Select	
  	
  three	
  strong	
  electrolytes	
  whose	
  λo
m	
  can	
  
be	
  found	
  by	
  extrapolation	
  method	
  in	
  such	
  a	
  way	
  that	
  if	
  we	
  subtract	
  λo
m	
  for	
  one	
  electrolyte	
  from	
  the	
  sum	
  
of	
  λo
ms	
  of	
  the	
  remaining	
  two	
  electrolyte	
  λo
m	
  for	
  CH3COOH	
  can	
  be	
  	
  obtained.	
  The	
  three	
  electrolytes	
  to	
  be	
  
selected	
  are	
  CH3COONa,	
  HCl	
  &	
  NaCl	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
3 3
o o o o
CH COOH CH COONa HCl NaClλ = λ + λ - λ 	
  
	
  
5. The	
  values	
  of	
  limiting	
  molar	
  conductivities	
  (λo
m)	
  for	
  NH4Cl,	
  NaOH	
  and	
  NaCl	
  are	
  respectively	
  149.74;	
  248.1	
  
and	
  126.4	
  Scm2
mol-­‐1
.	
  Calculate	
  the	
  limiting	
  molar	
  conductivity	
  of	
  NH4OH	
  	
  	
  (3M)	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
4 4
o o o o
NH OH NH Cl NaOH NaClλ = λ + λ - λ 	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  149.74+248.1-­‐126.4	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  271.44	
  Scm2
	
  mol-­‐1	
  
	
  
6. Calculate	
  the	
  equilibrium	
  constant	
  for	
  the	
  reaction	
  at	
  298K	
   2
( ) ( ) ( )2 ( ) 2s aq sCu Ag aq Cu Ag+ +
+ ⎯⎯→ + 	
  
Given	
  that	
  Eo
	
  Ag+
/Ag	
  =	
  0.80V	
  and	
  	
  Eo
(Cu2+
/Cu)	
  =	
  0.34V	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
0.059
logo
cell cE K
n
=
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   log
0.059
o
c
nE cell
K∴ = 	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   2
( / ) ( / )
o o o
cell Ag Ag Cu Cu
E E E+ += − 	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =0.80-­‐0.34=0.46V	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
2 0.46
log 15.59
0.059
cK
×
= = 	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  Taking	
  the	
  antilog	
  Kc	
  =3.92×1015	
  
	
  	
  	
  
	
  
7. In	
  Leclanche	
  cell	
  (dry	
  cell)	
  what	
  are	
  anode	
  and	
  cathode?	
  What	
  is	
  the	
  electrolyte	
  used?	
  Write	
  the	
  reactions	
  
at	
  each	
  electrode.	
  What	
  is	
  the	
  role	
  of	
  zinc	
  chloride?	
  
	
  
It	
  consists	
  of	
  a	
  zinc	
  container	
  as	
  an	
  anode.	
  A	
  graphite	
  rod	
  surrounded	
  by	
  a	
  mixture	
  of	
  manganese	
  dioxide	
  
and	
  carbon	
  powder	
  is	
  cathode.	
  	
  	
  
The	
  space	
  between	
  the	
  electrodes	
  is	
  filled	
  with	
  electrolyte	
  a	
  moist	
  paste	
  of	
  ammonium	
  chloride	
  and	
  zinc	
  
chloride	
  
	
  
	
  
	
  
Reaction	
  taking	
  place	
  
⎯⎯→ 2+ -
( s)At anode Zn Zn + 2e 	
  
⎯⎯→+ -
2 4 3At cathode MnO + NH + e MnO( OH) + NH 	
  
NH3	
  produced	
  in	
  the	
  reaction	
  forms	
  a	
  complex	
  with	
  Zn2+	
  
to	
  form	
  [Zn(NH3)4]2+
.	
  
	
  
8. What	
  are	
  the	
  anode	
  and	
  cathode	
  of	
  lead	
  acid	
  battery?	
  What	
  is	
  the	
  electrolyte?	
  Write	
  the	
  reactions	
  taking	
  
place	
  at	
  anode	
  and	
  cathode	
  and	
  the	
  overall	
  reaction	
  during	
  discharging	
  of	
  the	
  battery.	
  (3	
  M)	
  
It	
  consists	
  of	
  lead	
  anode	
  and	
  a	
  grid	
  of	
  lead	
  packed	
  with	
  lead	
  dioxide	
  (PbO2)	
  as	
  cathode.	
  	
  
Electrolyte	
  is	
  38%	
  solution	
  of	
  sulphuric	
  acid.	
  The	
  reactions	
  taking	
  place	
  when	
  the	
  battery	
  is	
  in	
  use	
  are	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  
2
( ) 4 ( ) 4( )
2
2 4 ( ) ( ) 4 ( ) 2 ( )
2
( ) 4 2 2
s aq s
aq aq s l
Anode Pb SO PbSO e
Cathode PbO s SO H e PbSO H O
− −
− + −
+ ⎯⎯→ +
+ + + ⎯⎯→ +
	
  
The	
  overall	
  reaction	
  is	
   ( ) 2 ( ) 2 4 ( ) 4 ( ) 2 ( )2 2 2s s aq s lPb PbO H SO PbSO H O+ + ⎯⎯→ + 	
  
	
  
9. In	
  Hydrogen	
  oxygen	
  fuel	
  cell	
  (i)	
  Draw	
  the	
  schematic	
  diagram	
  mentioning	
  the	
  anode	
  and	
  cathode.	
  What	
  is	
  
the	
  electrolyte?	
  Write	
  the	
  reaction	
  taking	
  place	
  at	
  each	
  electrodes	
  and	
  the	
  net	
  cell	
  reaction.	
  (4M)	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   	
  
In	
  this	
  hydrogen	
  and	
  oxygen	
  gases	
  are	
  bubbled	
  through	
  porous	
  carbon	
  electrodes	
  into	
  concentrated	
  
aqueous	
  sodium	
  hydroxide	
  solution.	
  Catalyst	
  like	
  finely	
  divided	
  platinum	
  or	
  palladium	
  is	
  incorporated	
  into	
  
the	
  electrodes	
  for	
  increasing	
  the	
  rate	
  of	
  electrode	
  reaction	
  	
  
Reaction	
  taking	
  place	
  are	
  
⎯⎯→
⎯⎯→
- -
2 ( g) 2 ( l) ( aq)
- -
2( g) ( aq) 2 ( l)
Cathode O + 2H O + 4e 4OH
Anode 2H + 4OH 4H O + 4e
	
  
Overall	
  reaction	
  is	
  	
  
⎯⎯→2 ( g) 2 ( g) 2 ( l)2H +O 2H O 	
  
	
  
10. What	
  is	
  corrosion?	
  During	
  rusting	
  of	
  iron	
  write	
  the	
  anodic	
  and	
  cathodic	
  reactions.	
  Give	
  the	
  composition	
  
of	
  rust.	
  (3M)	
  
When	
  a	
  metal	
  is	
  exposed	
  to	
  the	
  atmosphere	
  it	
  is	
  slowly	
  attacked	
  by	
  the	
  constituents	
  of	
  the	
  environment	
  
as	
  a	
  result	
  of	
  which	
  the	
  metal	
  is	
  slowly	
  lost	
  in	
  the	
  form	
  of	
  its	
  compound	
  .	
  This	
  is	
  called	
  corrosion.	
  	
  
	
  
Reaction	
  taking	
  place	
  are	
  
⎯⎯→
⎯⎯→
2+ -
( s)
-
2 ( g) 2 ( l)
At Anode 2Fe 2Fe + 4e
At Cathode O + 4H +( aq)+ 4e 2H O
	
  
H+
	
  are	
  produced	
  from	
  H2CO3	
  formed	
  due	
  to	
  dissolution	
  of	
  carbon	
  dioxide	
  from	
  air	
  into	
  water	
  The	
  Fe2+	
  
ions	
  
are	
  further	
  oxidised	
  by	
  atmospheric	
  oxygen	
  to	
  ferric	
  ion	
  which	
  are	
  ultimately	
  converted	
  to	
  hydrated	
  ferric	
  
oxide	
  called	
  rust.	
  Composition	
  of	
  rust	
  is	
  (Fe2O3.xH2O).	
  	
  
	
  
11. A	
  conductivity	
  cell	
  when	
  filled	
  with	
  	
  0.01M	
  KCl	
  has	
  a	
  resistance	
  of	
  747.5	
  ohm	
  at	
  25o
C.	
  When	
  the	
  same	
  	
  
cell	
  was	
  	
  filled	
  with	
  an	
  aqueous	
  solution	
  of	
  	
  0.05M	
  CaCl2	
  solution	
  the	
  resistance	
  	
  was	
  876	
  ohm.	
  Calculate	
  	
  
(i)	
  	
  Conductivity	
  of	
  the	
  solution	
  
(ii	
  )Molar	
  conductivity	
  of	
  the	
  solution	
  	
  	
  	
  	
  	
  (given	
  conductivity	
  of	
  0.01M	
  KCl	
  =	
  0.14114	
  sm-­‐1
)	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  (3M)	
  
	
  
Cell	
  constant	
  G*	
  =	
  Rk	
  	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =	
  747.5×0.14114	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  =0.105.5m-­‐1	
  
	
  
-1
-1cell constant 105.5m
Conductivity k = = = 0.1204Sm
R 876 ohm
	
  
2 -1
m
k 0.1204
Molar conductivity λ = = = 0.00241sm mol
1000C 1000 × 0.05
	
  
12. The	
  electrical	
  resistance	
  of	
  a	
  column	
  	
  of	
  0.05M	
  NaOH	
  solution	
  of	
  diameter	
  1cm	
  and	
  length	
  50cm	
  is	
  
5.55×103
	
  ohm.	
  Calculate	
  its	
  
	
  (i)	
  resistivity	
  
	
  (ii)	
  conductivity	
  
	
  (iii)	
  molar	
  conductivity	
  	
  	
  	
   	
   	
   	
   	
   	
   	
   	
   	
   	
  	
  	
  	
  	
  	
  (3M)	
  
Cell	
  constant	
   o l
G =
a
	
  
l	
  =	
  50	
  cm	
  
Diameter	
  =	
  1	
  cm	
  ∴	
  radius	
  =	
  0.5	
  cm	
  
Area	
  of	
  cross	
  section	
  A	
  =	
  πr2	
  
=	
  3.14×(0.5)2	
  
	
  	
  =	
  0.785	
  cm3	
  
	
  
	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
  	
   * -150
G = = 63.694 cm
0.785
	
  
-2
1 1
Resistivity ρ = = = 87.135 Ω
k 1.148 ×10
	
  
m
-2
2 -1
1000k
Molarconductivityλ =
C
1000 ×1.148 ×10
=
0.05
= 229.6 S cm mol
	
  
13. Calculate	
  the	
  emf	
  of	
  the	
  cell	
  in	
  which	
  the	
  following	
  reaction	
  takes	
  place.	
  
2
( ) ( )2 (0.002 ) (0.160 ) 2s sNi Ag M Ni M Ag+ +
+ ⎯⎯→ + 	
  
	
  
Given	
  that	
  Eo
cell	
  =	
  1.05V	
  	
  
2 2
( )
10 2
( )
[ ][ ]0.059
log
2 [ ][ ]
so
cell cell
s
Ni Ag
E E
Ni Ag
+
+
= − 	
  
But	
  [M]	
  for	
  any	
  element	
  is	
  taken	
  as	
  unity	
  
	
  
⎡ ⎤⎣ ⎦
⎡ ⎤⎣ ⎦
2+
o
cell cell 10 2+
Ni0.059
E = E - log
2 Ag
	
  
( )
2
0.059 0.160
= 1.05 - log
2 0.002
	
  
=	
  0.914V	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
	
  
Unit-4
CHEMICAL KINETICS
Number of Hours of Teaching-9
Marks allotted-8
In part-D, 5mark question is split preferable in the form of 3+2
Definition :- The branch of chemistry which deals with study of reaction rate and their
mechanism is called chemical kinetics
Rate of a chemical reaction
Q. 1 What is rate of reaction? (1m)
Ans: Change in molar concentration of reactant or product in per unit time is called rate of
reaction.
Types of rate of reactions
For reaction R à P
Average rate = decrease in conc. R
Of reaction time taken
rav = - ∆[R]
∆t
Average rate = increase in conc. Of P
Reaction time taken
rav = + ∆[P]
∆t
8
Marks
Part –A
1x1=1
Part –B
1x2=2
Part-C
1x5=5
Q2:- For the reaction RàP, the conc. of reactant changes from 0.03M to 0.02M in 25 min.
calculate average rate of the reaction using the unit of time in seconds.
rav= - ∆[R]= - (0.02-0.03 )
∆t 25x60
=-[-0.01]
1500
= 6.66x10-6
M/s
Q3: What is the SI Unit of rate of reaction ? (1m)
Ans: Mol /L /s
Factors influencing Rate of reaction
Q4 :- Mention any two factors which influence the rate of reaction . 2M
Ans 1) Pressure or conc. of reactants
2) temperature
3) catalyst.
Dependence of rate on concentration .
Q5.) What is rate law ? (1 m)
Ans: Representation of rate of reaction in terms of concentration of reactants is called rate law.
Rate expression and rate equation
Q.6) Define rate equation or rate expression (2m)
Ans: Expression in which reaction rate is given in terms of molar conc. of reactants with each
term raised to some power which may or may not be same as the stoichiometric coefficient of
the reacting species in a balanced chemical equation.
Q.7) Define rate constant of a reaction. (1m)
Ans: Rate constant is equal to rate of reaction when the product of the molar conc. of
reactants is unity.
Order of a Reaction
Q.8) Define order of a reaction. 1M
Ans: Sum of the powers of the concentration of the reactants in the rate equation is called order
of reaction.
Q.9) Calculate the overall order of a reaction which has the rate expression. 1M
Rate= K [A]1/2
[B]3/2
Ans: Order of reaction = 1/2 + 3/2
= 2
Q.10) What is elementary reaction ? (1m)
Ans: Reaction taking place in one step is called elementary reaction.
Q.11)What are complex reactions?(1m)
Ans: Reactions taking place in more than one step are called complex reaction.
Q.12) What is SI Unit of rate constant of nth order reaction ? (1m)
Ans: (mol)1-n
. Ln-1.s-1
Q.13) What is SI unit of rate constant of zero order reaction? (1m)
Ans: Mol/L/s
Q.14) What is the order of reaction whose unit of rate constant and rate of reaction are same ?
(1m)
Ans: Zero order.
Q.15) Identify the reaction order from the rate constant K=2.3x10-5
mol-1
.L.S-1
(1m)
Ans: Comparing the unit of rate constant with general unit
Mol-1
.L.S-1
with ( Mol)1-n
.Ln-1
.S-1
1-n= -1
n=2
Molecularity of a reaction
Q.16) Define molecularity of a reaction . (1 m)
Ans: The number of reacting species taking part in an elementary reaction which must colloid
simultaneously in order to bring about a chemical reaction is called molecularity of reaction.
Q.17) In a complex reaction which step controls the overall rate of reaction and
what is it called? (2m)
Ans: Slowest step, which is called rate determining step.
Q.18) The conversion of molecules X to Y follows second order kinetics .If conc. of X
Increased to three times,how will it affect the rate of formation of Y ? (1m)
Ans: Increased rate =( Increased conc.)n
=32
=9
Rate of formation of Y increases
by 9 times
Integrated rate equations
Q.19) Derive rate constant of zero order reaction (3m)
Ans: Consider a zero order reaction R--> P
Rate =-d[R] = K[R]o
dt
= - d[R] = K
dt
= d[R] = -kdt -------(1)
Integrating equation (1) both sides
[R]= -kt+I ----------(2)
Where “I” is integration constant
At t=0 [R]=[R]o where
[R]o is initial concentration of reactant.
∴Eqn (2) becomes
I=[R]o
Substituting I in eqn-------- (2)
[R] = -Kt + [R]o
-Kt = [R]-[R]o
Kt = [R]o-[R]
K = [R]o-[R]
t
Q:20) Derive integrated rate equation for first order reaction? (4m)
Ans-Consider a first order reaction.
RàP
Rate = - d[R] = K[R]
dt
d[R]= - K[R]
dt
d[R] = - K. dt. -------(1)
[R]
Integrating eqn.(1)on both side
ln [R] = - Kt + I --------(2)
Where “I” is integration constant
At t=o [R]=[R]o which called initial Concentration reactant
Substituting the values in
ln[R]o= I
Equation (2) can be written as
ln[R] = -Kt + ln[R]o
Kt = ln[R]o – ln [R]
Kt = ln [R]o
[R]
Kt =2.303 log[R]o
[R]
K= 2.303 x log[R]o
t [R]
Log [R]o Slope = K
[R] 2.303.
Or
o time K= 2.303xSlope
Half life of a reaction
Q21)Define halfe life of a reaction . (1m)
Ans: The time in which the conc.of a reactant is reduced to one half of its initial conc. is called
half life of a reaction (t1/2)
Q:22) Show that half life of a zero order reaction is directly proportional to initial
concentration of reactant from integrated rate equation.
OR
Derive the relation between half life and rate constant of zero order reaction .(2m).
Ans:-Rate constant of zero order reaction is
K= [R]o – [R]
t
At half life t =t ½ & [R] = ½ [R]o
.: K= [R]o – ½ [R]o
t1/2
K=[R]o
2t½
t ½ =[R]o
2 K
OR
t ½ ∝ [R]o
Q.23) Show that half life of a first order reaction is independent of initial Conc. of reactant
from integrated rate equation (2m)
Or
Derive the relation between half life of a first order reaction and its rate constant . (2m)
Ans: Rate constant of first order reaction is
K= 2.303 x log [R]o
t [R]
At half life t=t ½ ,[R]=[R]o
2
.: K = 2.303 x log [R]o
t½ [R]o/2
K =2.303 x log 2
t ½
K= 2.303 x0.3010
t½
t½ = 0.693
K
K= 2.303 x0.3010
t½
t½ = 0.693
K
Q.24)A first order reaction is found to have a rate constant 5.5x10-14
/s .Calculate the half life
of the reaction (2m)
Soln. : K= 5.5x10-14
/s t½ =?
t½ = 0.693
K
= 0.693
5.5x10-14
t½ = 1.26x1013
sec
Q:25) Show that the time required for 99/. Completion of a first order reaction is twice the
time required for the completion of 90% of reaction( 4m)
I set : [R]o= 100, [R]=[100-90]=10 t=t90%
IIset : [R]o= 100 [R]= [100-99]1 t=t99%
To be proved t99%= 2t90%
K= 2.303 x log [R]o
t [R]
Sub. I set values .
K= 2.303x log 100
t 90% 10
K = 2.303x log 10
t90%
K= 2.303 X 1 - (1)
t90%
Substituting II set values
K=2.303 x log 100
t99% 1
K= 2.303 x 2 --------------(2)
t99%
Comparing equations (1) & (2)
2.303x 1 = 2.303x2
t90% t99%
t99% = 2t90%
Pseudo first order reaction
Q:26 Define pseudo first order reaction . Give an example. (2m)
Ans: Chemical reactions which are not first order but behave as fist order reaction under
suitable conditions are called pseudo first order Reactions. Ex: Inversion of cane sugar.
C12 H22O11+H2O àC6H12O6 + C6H12 O6
Temperature dependence of the rate of a reaction
Q:27)How does rate of reaction vary with temperature? (1m).
Ans: Rate of reaction increases with increase of temperature.
Q:28) What happens to the rate constant of a reaction when temperature is increased by 10o
.?
Ans: Rate constant increases nearly by two times.
Q.29) Write Arrhenius equation which relates the rate constant , activation energy and
temperature . (1m)
Ans K= A e-Ea/RT
Energy of activation
Q.30) Define energy of activation (1m).
Ans: The minimum energy required for the reactants to form activated complex is called
Activation energy.
Q.31) How is activation energy related to rate of reaction? (1m)
Ans: Rate of reaction is inversely proportional to activation energy.
ie r ∝ 1
Ea
Q.32) How is activation energy affected by presence of positive catalyst? (1m)
Ans: Activation energy of a reaction decreases in presence of catalyst.
Q.33) On increasing 100
K temperature rate of reaction becomes double,
explain from the max well Boltzmann distribution curve. (2m)
On increasing 100
K temperature, substance Increases the fraction of molecules double,hence
rate of reaction doubles.
Q:34) How does positive catalyst increases the rate of reaction? (2m)
Ans positive catalyst decreases the activation energy by changing the
Path of the reaction,which increases the rate of reaction
Collision theory of chemical reactions.
Q:35) What is effective collision? How is it related to rate of reaction? (2m).
Ans. Collision in which molecules colloid with sufficient kinetic energy and proper orientation
so as to form products is called effective collision. It is directly proportional to the rate of
reaction.
Q:36)How is activation energy calculated by plotting graph ln K against 1/T ? (2m)
Q:37)Write Arrhenius equation at different Temperature and rate constants.
Ans: log K2/K1 = Ea X T2-T1
2.303RT T1 T2
Q:38)The rate constants of a reaction at 500K. and 700K are 0.02s-1
and 0.07s-1
respeetively
calculate the activation energy. (3m)
Ans: log K2/K1 = Ea X T2-T1
2.303RT T1 T2
log 0.07 = Ea x 700- 500
0.02 2.303x8.314 500x 700
0.544 = Ea x 5.714 x10-4
19.15
Ea= 0.544x19.15
5.714 x10-4
Ea= 18230.8 J = Ea= 18. 2308 KJ.
UNIT -5
SURFACE CHEMISTRY
A. Short answer questions carrying 1 mark
1. What is adsorption
A surface phenomenon wherein there is accumulation of molecules on the surface
(than in the bulk) of a solid or a liquid.
2. Why solids in finely divided state are good adsorbent?
Solids in finely divided state have large surface area, as surface area increases
adsorbing power increases.
3. What is desorption?
The process of removing an adsorbed substance from a surface on which it is
adsorbed is called desorption.
4. Name the substance used to decolour the solution of raw sugar.
Animal charcoal.
5. Name of the phenomenon in which both the adsorption and desorption takes
place simultaneously.
Sorption
6. Why is adsorption always exothermic?
During adsorption there is always decrease in residual forces on the surface, hence
adsorption is always exothermic.
Or
There is decrease in surface energy which appears as heat, hence adsorption is always
exothermic.
7. Name catalyst used in the conversion of alcohols into gasoline (petrol)
Zeolite ZSM-5 (Zeolite Sieve of molecular porosity-5)
8. Name the colloidal system in which dispersed phase is solid and dispersion
medium is liquid
Sol
9. Name the dispersed phase in gel
Liquid
10. Give an example for oil in water emulsion
Milk, Vanishing cream
11. What type of colloidal emulsion is present in butter
Water in oil (W/O)
12. What is the dispersion medium in gel?
Solid
13. Between Na2SO4 and Na3PO4 which has greater power to coagulate a positively
charged colloid?
Na3PO4
14. Alum is added to muddy drinking water. Why?
Alum is added to muddy drinking water to coagulate
15. What is the dispersed phase in milk?
Oil or liquid
16. A liquid is dispersed in a gas. Name the type of colloid obtained.
Liquid aerosal
17. Name the instrument designed by Zigmondy.
Ultramicroscope
18. Movement of the dispersion medium in an electric field by preventing the
movement of colloidal particles by suitable method.Name the phenomenon
Electroosmosis
19. The process by which colloidal particles aggregate, become bigger and settle
down. Name the phenomenon
Coagulation
20.What happens when an electrolyte is added to lyophobic sol?
Coagulation or precipitation
21. Name the phenomenon, when an electrolyte having a common ion is added to
freshly prepared precipitate?
Peptization
B. Answer questions carrying 2 marks
ADSORPTION
1. What are adsorbate and adsorbent? Give an example.
Molecules (substances) that accumulates on the surface is called adsorbate.
The material on the surface of which adsorption takes place is called adsorbent.
Example: Ni adsorbs H2. Ni is the adsorbate, H2 is the adsorbent
2. Give two examples for adsorption.
i) When animal charcoal is added to methylene blue, charcoal adsorbs the dye.
ii) Air becomes dry in the presence of silica gel because silica gel adsorbs water
molecules on the surface
iii) A small pillow of silica gel in a box adsorbs moisture in the box keeps the air
dry. (Any two)
3. Give differences between adsorption and absorption.
Adsorption Absorption
1. A substance gets
concentrated on the surface
of a solid or liquid.
2. It increases with increase in
surface area.
Example: adsorption of water
by silica gel.
A substance gets uniformly distributed
through the bulk of solid or liquid.
It remains unaffected by increase in surface
area.
Example: Absorption of water by anhydrous
CaCl2.
4. Of SO2 (critical temperature 630K) and CH4 (critical temperature 190K) which
gas will be adsorbed readily on the surface of 1 gram of activated charcoal.
Justify the answer.
SO2 gas
Easily liquefiable gases with higher critical temperature are readily adsorbed as the
theVander Waal’s forces are stronger near critical temperature.
5. What is the effect of temperature on physical and chemical adsorption?
Physical adsorption decreases with increase in temperature. Chemical adsorption
increases with increase intemperature.
6. Mention any two applications of adsorption.
i) In the production of high vaccum
ii) In gas mask, to adsorb poisonous gases
iii) In the separation of noble gases using activated charcoal
iv) Removal of colouring matter from solutions
v) In adsorption chromatography to analyse a given
CATALYSIS
1. What is catalysis? Give an example.
A substance that accelerates the rate of a reaction without itself remaining unchanged
chemically and quantitatively is a catalyst. The phenomenon is catalysis.
E.g.: 2KClO3
2MnO
⎯⎯⎯→2KCl + 3O2
MnO2 is a catalyst.
2. What are promoters and poisons with respect to a catalytic process?
Promoters are substance that increases the activity of a catalyst. E.g.: In Haber’s
process molybdenum acts as a promoter for iron used as a catalyst. A catalytic poison
is one that decreases the efficiency or activity of a catalyst. E.g.: In Haber’s process
CO if present in the mixture of H2 and N2, poisons the iron catalyst.
3. What is homogeneous catalysis? Give an example.
When reactants and catalyst are in the same phase the process is homogeneous
catalysis. E.g.:
a) 2SO2(g) + O2(g)
( )gNO
⎯⎯⎯→ 2SO3(g)
Here the reactants (SO2 and O2) and catalyst (NO) are all gases.
b) Acid hydrolysis of cane sugar is also an example for homogeneous catalysis. Here
the reactants sugar solution, water and the catalyst dil. HCl are in the same phase
(aqueous solution)
C12H22O11(aq) + H2O(l)
H+
⎯⎯→C6H12O6 + C6H12O6 (both are in aq solution)
Sucrose glucose fructose
4. What is heterogenous catalysis? Give an example.
A catalytic process in which reactants and catalyst are in different phases are known as
heterogenous catalysis.
E.g.: 1. N2(g) + 3H2(g)
(s)Fe
⎯⎯⎯→2NH3
Here the reactants are gases, catalyst iron is a solid
2. Vegetable oil (l) + H2(g)
( )sNi
⎯⎯⎯→Vanaspathi ghee
Here reactants and catalyst are in different phases.
5. Write a note on
a) activity b) selectivity of solid catalysts.
a) Activity: The activity (efficiency) of a solid catalyst depends on how strongly the
reactants are chemisorbed on it. It is found that elements (metals) in group 7-9 of
the periodic table show greater catalytic activity for hydrogenation reactions.
E.g.: 2H2(g) + O2(g)
Pt
⎯⎯→2H2O (l)
b) Selectivity: For a given set of reactants, different catalyst may yield different
products. This is selectivity of a catalyst.
E.g.: CO(g) + 3H2(g)
Ni
⎯⎯→CH4(g) + H2O(g)
CO(g) + H2(g)
Cu
⎯⎯→H−CHO
Ni is selective to convert water gas to CH4 whereas Cu converts water gas into
formaldehyde. In otherwords Ni catalyses the conversion of water gas to CH4 but
cannot catalyse to convert water gas to formaldehyde.
Catalyst is highly selective in nature i.e a given substance can act as a catalyst only in
a particular reaction and not for all the reactions.
6. What is shape selective catalysis? Give an example.
A catalytic reaction that depends on pore structure of the catalyst and size of the
reactant and product molecules is called shape selective catalysis. E.g.: zeolites.
7. Write a note on zeolites as shape selective catalysts.
Zeolites are aluminosilicates with 3D nework of Al-O-Si frame with honey comb like
structure. This structure makes them to act as shape selective catalyst depending on
pore size in them and on the size of reactant and products. Many zeolites are
synthesized for selective catalytic activity.
E.g.: 1) Zeolite ZSM-5 (Zeolite Sieve of molecular porosity- 5) converts alcohols
into gasoline (petrol) by dehydrating alcohols.
2) Many zeolites are used in petroleum industry in cracking of hydrocarbons
and in isomerisation.
8. What are enzyme catalysis or biochemical catalysis? Give an example for
enzyme catalysis.
Enzymes are proteins, which catalyse large number of reactions that maintain life
processes in both plants and animals. Hence they are biochemical catalysts and the
phenomenon is called as biochemical catalysis.
Inversion of cane sugar in the presence of enzyme invertase into glucose and fructose
9. Give two examples for enzyme-catalysed reaction.
a) Conversion of starch into maltose
2(C6H10O5)n (aq) + nH2O (l) diastase enzyme
⎯⎯⎯⎯⎯→nC12H22O11 (aq)
Starch maltose
b) Urea into ammonia and carbon dioxide
NH2CONH2(aq) + H2O (l)
urease
⎯⎯⎯→2NH3(g) + CO2(g)
c) In human beings enzyme pepsin converts proteins into peptides and pancreatic
trypsin enzyme converts proteins into amino acids.
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Chemistry chapter wise important questions

  • 1.     UNIT-1 SOLIDS QUESTIONS CARRYING ONE MARK: 1. Which type of solid is anisotropic in nature? Ans: Crystalline solids are anisotropic in nature 2. Which type of solids is called as super cooled liquids or pseudo solids? Ans:Amorphous solids are called super cooled liquids 3. A solid has a sharp melting point, and then to which type of solids does it belong? Ans: Crystalline solids 4. Which type of solids has long range orderly arrangement of constituent particles? Ans: Crystalline solids 5. Sodium chloride and quartz belong to which type of solid? Ans: Crystalline solids 6. A solid shows different values for refractive index when measured in different directions. - Identify the type of solid Ans: Crystalline solids 7. When a solid is cut with a sharp edged tool, they cut into two pieces and the newly generated surfaces are plain and smooth. – Identify the type of solid. Ans: Crystalline solids 8. Which type of force of attractions is present between the molecules in polar molecular solids? Ans: Dipole –dipole interactions 9. Which type of force of attractions is present between the molecules in non-polarmolecular solids? Ans: London forces or Dispersion forces     10. Which type of force of attractions is present between the particlesin ionic solids? Ans: Electrostatic force of attraction or coulombic force of attraction 11.Solid SO2 and solid NH3belong to which type of molecular solids? Ans: Polar molecular solids 12. What is crystal lattice? Ans: The regular three dimensional array of lattice points in space is called crystal lattice 13. What is a unit cell? Ans: It is the smallest repeating unit which when arranged in three dimension gives the crystal lattice. 14. How many types of primitive unit cells are present? Ans: Three types 15. What is a primitive cubic unit cell? Ans: The cubic unit cell in which the particles/atoms are present only at the eightcorner of the cube is called primitive cubic unit cell. 16. Define the co-ordination number of a particle in solids. Ans:It is the total number of nearest neighboring particles to a given particle. 17. What is the number of octahedral voids generated, if the number of close packed spheres is N? Ans: N 18. What is the number of tetrahedral voids generated, if the number of close packed spheres is N? Ans: 2N 19. What is the co-ordination number of a particle in a tetrahedral void? Ans:Four 20. Among Schottky and Frenkel defect, which type of defect decreases the density of the crystal? Ans: Schottky defect
  • 2.     21. What are point defects? Ans: Deviations from the ideal arrangement around a particular point or an atomin a crystalline solid 22. What are F-centers? Ans: The anionic sites occupied by the unpaired electrons are called F- centre. 23. To which colour potassium chloride crystal turns, when excess potassium ionis present? Ans: Violet 24. Name the type of non-Stoichiometric defect observed when white ZnO turns yellow on heating. Ans: Metal excess defect 25. Name the non-Stoichiometric defect responsible for the composition of ferrous oxide to be Fe0.95O1. Ans:Metal deficiency defect 26. Which type of point defect is observed when NaCl containing little SrCl2 is crystallized? Ans:Impurity defect 27. Which defect is also called as dislocation defect? Ans:Frenkel defect 28. What is doping? Ans: The process of increasing the conductivity of an intrinsic semiconductors by adding asuitable impurity is called doping 29. What type of semiconductors are obtained when silicon doped with boron impurity? Ans: p-type semiconductor 30. Name the unit used to measure magnetic moment. Ans: Am2( 1Bohr magneton= 9.27x10-24 Am2) 31. What are diamagnetic substances? Ans: These are the substances which are repelled by the magnetic field     32. What are ferromagnetic substances? Ans: These are the substances which are strongly attracted by the magnet 33. How body diagonal and radius of a sphere(r) are related in bcc unit cell? Ans:4r =√2a 34. Give an example for Ferromagnetic substance. Ans: Fe Co Ni Gd CrO2 35. Give an example for Diamagnetic substance. Ans: H2O, NaCl, and C6H6 QUESTIONS CARRYING TWO MARKS: 1. How crystalline solids differ from amorphous solids in their melting point? Ans:Crystalline solids have sharp melting point whereas amorphous solid do not have a sharp melting point 2. Write any two differences between crystalline solids and amorphous solids? Crystalline solid Amorphous solid 3-D long range orderly arrangement of particles No orderly arrangement of constituent particles Sharp Melting point Do not have sharp M P ( Softening temperature) True solids having definite shape Pseudo solids having irregular shapes They have a well-defined cleavage planes Do not have cleavage planes Anisotropic in nature Isotropic in nature 3. What is meant by anisotropy? What type of solids show this nature? Ans: The physical properties like refractive index, coefficient of thermal expansion, when measured in different directions gives different value for a crystalline solid hence it is anisotropic in nature. Crystalline solids 4. What are the nature of particles and the force of attractions between the particles in non-polar molecular solids? Ans: In a non-polar molecular solids, the constituent particles are non-polar moleculeslike H2, Cl2, I2 and even atoms like Ar, Ne, Xe etc. The nature of force of attraction is weak dispersion force or London force.
  • 3.     5. What are the nature of particles and the force of attractions between the particles in polar molecular solids? Ans: In a polar molecular solids, the constituent particles are formed by polar covalent bond like HCl, SO2. The nature of force of attraction is dipole-dipole attractions 6. What are the nature of particles and the force of attractions between the particles in hydrogen bonded molecular solids? Ans: In a hydrogen bonded molecular solids, the constituent particles are polar molecules capable of forming hydrogen bond like water. The nature of force of attraction is hydrogen bonding 7. What are point defects? Mention the types Ans: Point defects are the irregularities in the arrangement of constituent particlesaround a point or a lattice site in a crystalline substance. These are of three types. 1. Stoichiometric defects. 2. Non-stoichiometric defect 3. Impurity defect. 8. What are the differences between Schottky and Frenkel defect? Schottky defect a. Shown by ionic solidscontaining similar-sized cationsand anions (having high coordination number) b. An equal number of cations and anions are missing to maintain electrical neutrality c. Decreases the density of the substance d. Example, NaCl, KCl , CsCl, and AgBr Frenkel defect a. Shown by ionic solids containing largedifferences in the sizes of ions, (having less coordination number) b. Created when the smaller ion (usually cation) is dislocated from its normal site to an interstitial site c. No change in density of the crystal. creates a vacancy defect as well as an interstitial defect .Also known as dislocation defect d. Example: AgCl, AgBr, AgI and ZnS 9. What are the nature of particles and the force of attractions between the particles in ionic solids? Ans: The nature of the particles is ions (both cation and anion). The nature of the force of attraction is electrostatic force or coulombic force 10. What are the nature of particles and type of bonding in network solids? Ans: The nature of the particles is atoms. The bonding is covalent bond.     11. Classify the following into polar and non-polar molecular solids: Ar, HCl, I2 and SO2 Ans: Non-polar molecular solids: Ar, I2 Polar molecular solids:HCl, SO2 12. Calculate the number of particles present per unit cell in an FCC unit cell. Ans:Contribution of corner particle = 8 x 1/8 = 01 Contribution of a particle at the centreof face = 6 x ½ = 03 Total number particle /unit cell = 04 13. Calculate the number of particles present per unit cell in a BCC unit cell. Ans:Contribution of corner particle = 8 x 1/8 = 01 Contribution of a particleat the centre = 1 x 1 = 01 Total number particle /unit cell = 02 14. Calculate the number of particles present per unit cell in a simple cubic unit cell. Ans:Contribution of corner particle = 8 x 1/8 =01 Total number particle /unit cell = 01 15. Mention the two characteristics of a unit cell. Ans: Two characteristics of unit cells are a. Edge length b. Axial angles 16. What is the relation between edge length (a) and radius of the sphere (r) infcc unit cell? What is itspacking efficiency? Ans: The relationship between edge length and radius of the sphere are a=2   2  r Packing efficiency is 74% 17. What is the relation between edge length (a) and radius of the sphere (r) in bcc unit cell? What is its packing efficiency? Ans: The relationship between edge length and radius of the sphere are a= !! ! Packing efficiency is 68 % 18. How many tetrahedral and octahedral voids is present, if the number of sphere is N? Ans: The number of tetrahedral void is 2N The number of octahedral void is N 19. Explain Schottky defect. Give an example. Ans: The defect which arises due to missing of equal number of cations and anions from the crystal lattice is called Schottky defect. Ex. NaCl, KCl ,CsCl, AgBr
  • 4.     20. Explain Frenkel defect. Give an example. Ans: The defect in which an ion (generally cation) leaves the original site and occupies the interstitialsite is called Frenkel defect. E. AgCl, AgBr, AgI 21. How Schottky defect and Frenkel defect affect the density of the crystal? Ans: In Schottky defect density of the crystal decreases. In Frenkel defect the density of the crystal remains same. 22. Mention the two types of Non-stoichiometric defects in solids? Ans: Metal excess defect and metal deficiency defect. 23. What is F- center? What colour is imparted to the NaCl crystal, due to the presence of excess sodium? Ans: The anionic sites occupied by the unpaired electrons are called F- Centre The colour of NaCl crystal is Yellow 24. Write the formula to calculate the density of the unit cell and explain the terms. Ans: z = number of particles present per unit cell d = 𝒛𝑴 𝒂 𝟑 𝑵 𝑨                M = Molecular mass , d = density NA = Avogadro’s number a = Edge length. 25. What are n-type and p-type semiconductors? Ans: n-type semiconductor is obtained by doping of the crystal of a group 14 element such as Si or Ge, with a group 15 element such as P or As(pentavalent). Conductivity increases due to negatively charged electrons. p-type semiconductor is obtained by doping of the crystal of a group 14 element such as Si or Ge, with a group 13 element such as B, Al or Ga( trivalent). Conductivity increases as a result of electron hole 26. An ionic compound is formed by two elements A and B. The cat ions A are in ccp arrangement and those of anions B occupy all the tetrahedral voids. What is the simplest formula of the compound? Ans: Since cations are in ccp arrangement, the total number cat ions A = 4 The number of tetrahedral voids is double the number of particles = 8 All the tetrahedral voids are occupied by anions B. The number of elements of B = 8 Hence the formula of the ionic compound is A4B8 or AB2     27. A compound is formed by two elements X and Y. The element X forms ccp and atoms of Y occupy 1/3 rd of tetrahedral voids. What is the formula of the compound? Ans: Since element X are in ccp arrangement, the number of X per unit cell = 4 The number of tetrahedral void = 8 But only 1/3 rd is occupied by Y, therefore 8 x1/3 = 8/3 Hence the formula of the compound is X4Y8/3 = X12Y8 or X3Y2 28. Gold(atomic radius=0.144nm)crystallizesin a face centered unit cell. What is the length of the side of the cell? Ans: For FCC the edge length and radius of sphere arerelated by the equation, r = 0.144nm a=2   2  r a = ? = 2 2    x  0.144  nm = 2x1.414 x 0.144 = 0.40723nm. 29. Silver forms ccp lattice and X- ray studies of its crystals show that the edge lengthof its unit cell is 408.6pm. Calculate the density of silver (atomic mass = 107.9 u) Ans: d = !" !!!! d= 4 x 107.9/(4.08)3 x10-24 x 6.022 x1023 d = 431.6/40.899 d = 10.5528g/cm3 30. X- ray diffraction studies show that copper crystallizes in an fcc unit cell with cell edge of 3.6 x10-8cm. In a separate experiment, copperis determined to have a density of 8.92g/cm3,calculate the atomic mass of copper. Ans: d = !" !!!! M = d a3 NA/Z = 8.92 x(3.6)3x10-24 x 6,022 x1023/4 = 250.61/4 M = 62.6525 u 31. The edge of fcc unit cell of platinum is 392 pm and density is 21.5 g/cm3, calculate the Avogadro number. Ans: d = !" !!!! NA = Z x M/ d a3 = 4 x 195.08/21.5 x (3.92)3x 10—24 = 780.32/1295.08 x10—24 NA= 6.025 x1023
  • 5.     32. A unit cell of sodium chloride has four formula units. The edge length of the unit cell is 0.564 nm. What is the density of sodium chloride? Ans: d = !" !!!! d = 4 x 58.5/(5.64)3 x10-24 x 6.022 x1023 d = 234/108.038 d = 2.165 g/cm3 33. A body centered cubic element having density 10.3 g/cm3, has a edge length of 314pm. Calculate the atomic mass of the element (Avogadro’s number= 6.023x1023/mol) Ans: d = !" !!!! M = d x a3 xNA/Z = 10.3 x (3.14)3x 10-24 x 6.022 x1023/2 M = 96.01u 34. Calcium metal crystallizes in a face centered cubic lattice with edge length of 0.556nm. Calculate the density of the metal. (Atomic mass of calcium = 40g/mol and Avogadro number= 6.022 x1023mol-1) Ans: d = !" !!!! d = 4 x 40/(5.56)3 x10-24 x 6.022 x1023 d = 160/103.50 d = 1.54 g/cm3 35. Copper crystallizes into afcc lattice with edge length 3.61 x10-8cm. Calculate the density of the of the crystal (Atomic mass of copper =63.5g/mol and Avogadro number= 6.022 x1023mol-1 ) Ans: d = !" !!!! d = 4 x 63.5/(3.61)3 x10-24 x 6.022 x1023 d = 254/28.33 d = 8.9 g/cm3     36. Silver crystallizes in a face centered cubic structure. If the edge length is 4.077 x10-8cm and density is 10.5 g/cm3, calculate the atomic mass of silver. Ans: d = !" !!!! M = d a3 NA/Z = 10.5 x (4.077)3x10-24 x 6,022 x1023/4 = 103.57/4 The atomic mass of silver M = 107.09 u 37. The density of Li atoms is 0.53g/cm3.The edge length of Li is 3.5 A0. Find out the number of Li atoms in a unit cell (N0= 6.022 x1023/mol& M= 6.94) Ans:d = !" !!!! Z = d x 𝑎! 𝑁!/𝑀 = 0.53 x (3.5)3 x10–24x 6.022 x1023/6.94 = 2 The number of lithium atoms in unit cell is 2 Questions carrying THREE marks 1. Calculate the packing efficiency in simple cubic unit cell Edge length of the cube = a = 2r Volume of the cubic unit cell= a3 = (2r)3= 8r3 volume of one particle(sphere) = ! ! 𝝅r3 The number of particles per unit cell =1 Total volume occupied by one sphere = ! ! 𝜋𝑟! Packing efficiency= !"#$%  !"#$%&  !""#$%&'  !"  !"#  !"!!"! !"#$%&  !"  !"#$!  !"#$  !"## × 100 = ! ! !!!×! !  !! ×100 = 52.4%
  • 6.     2. Calculate the packing efficiency in face centered cubic unit cell edge length of the cube be ‘a’ In ABC AC2 = BC2 + AB2 b2 = a2 + a2 b2 = 2a2 b = 2   a Let the radius of the atom = r Length of the diagonal of ABC, b= 4r 2  a = 4r a = 2 2  r Edge length of the cube =a=2   2  r Volume of the cubic unit cell= a3 = 2   2  r ! volume of one particle(sphere) = ! ! 𝝅r3 The number of particles per unit cell =4 Total volume occupied by four spheres = 4 × ! ! 𝜋𝑟! packing efficiency= !"#$%  !"#$%&  !""#$%&'  !"  !"#$  !"!!"!# !"#$%&  !"  !"#$!  !"#$  !"## × 100 = ! ! !!!×! ! !! !  ×    100 = !" ! !!! !"   !!!  ×    100 = 74 % 3. Calculate the packing efficiency in body centered cubic unit cell In ABG, b2 = a2 + a2 ⇒ b2 = 2 a2 In, AGD, C2 = a2 + b2 C2 = a2 + 2a2 C2 = 3a2⇒ C = 3𝑎 Radius of the atom = r. Length of the body diagonal, C=4r 3𝑎 = 4r a = !! ! Edge length of the cube =a= !! ! Volume of the cubic unit cell= a3 = !! ! ! volume of one particle(sphere) = ! ! 𝝅r3 The number of particles per unit cell =2 Total volume occupied by two spheres = 2 × ! ! 𝜋𝑟! packing efficiency= !"#$%  !"#$%&  !""#$%&'  !"  !"#  !"!!"!# !"!"#$  !"  !"#$!  !"#$  !"## × 100 = ! ! !!!×! ! ! ! !  ×  100 = ! ! !!! !" ! ! !!  ×  100 = 68%     4.Based on band theory explain conduction in metals, insulators and semiconductors Conduction of electricity in metals: In metals, the valence shell is partially filled, so this valence band overlaps with a higher energy unoccupied conduction band so that electrons can flow easily under an applied electric field. Conduction of electricity in insulators: In insulators, the valence shell is empty, so the gap between the valence band and conduction band is very large. so that electrons cannot flow under an applied electric field. Conduction of Electricity in Semiconductors In semiconductors, the gap between the valence band and conduction band is so small that some electrons may jump to the conduction band. Electrical conductivity of semiconductors increases with increase in temperature. Substances like Si, Ge show this type of behaviour, and are called intrinsic semiconductors. 5. How are solids classified on the basis of the force of attraction? Ans: a. Molecular solids: Particles are held by a. London forces (in non-polar solids) ex : Benzene, Argon, P4O10, I2, P4 b. Dipole - dipole interaction ( in polar solids) ex: Urea, Ammonia c. Hydrogen bonding (in hydrogen bonded solids) ex: ice b. Ionic solids a. Particles are held by ionic bond b. Conduct electric current in aqueous solution or molten state c. Examples: NaCl, MgO, ZnS d. In solid state, ions are held together by strong electrostatic forces and are not free to move about within the solid. Hence, ionic solids do not conduct electricity in solid state. However, in molten state or in solution form, the ions are free to move and can conduct electricity. c. Covalent or network solids: a. Particles are held by covalent bonding. Examples SiO2 (quartz), diamond, d. Metallic solids: a. Particles are held by metallic bond. b. These are electrical conductors, malleable, and ductile. Examples: Fe, Cu, 6. What are point defects? Explain the types. Ans: Point defects are the irregularities in the arrangement of constituent particles around a point or an atom in a crystalline substance. These are of three types. 1. Stoichiometric defects: Do not disturb stoichiometry of the solid. These are also called intrinsic or thermodynamic defects Ex : Frenkel defect, Schottky defect 2. Non-stoichiometric defects: This defect alters the stoichiometric ratio of the constituent elements i) Metal excess defect a. Metal excess defect due to anionic vacancies: b. Metal excess defect due to the presence of extra cations at interstitial sites: ii) Metal deficiency defect a. By cation vacancy 3. Impurity defect.
  • 7.     7. What are diamagnetic, paramagnetic and ferromagnetic substances? 1. Paramagnetic substance: The substance which are attracted by the magnet. The magnetic character is temporary and is present as long as the external magnetic field is present. Ex; O2, Cu2+, Fe3+, Cr3+ NO. 2. Diamagnetic substance: The substance which are weakly repelled by the magnetic field TiO2, H2O,NaCl.This property is shown by those substance which contain fully –filled orbitals (no unpaired electrons) 3. Ferro magnetic substance: The substance which are strongly attracted by the magnet. They show permanent magnetism even in the absence of magnetic field. Ex : Fe Co Ni Gd& CrO2 8. An element with molar mass 2.7 x 10-2 kg/mol forms a cubic unit cell with edge length 405pm. If its density is 2.7 x 103 kg/m3, what is the nature of the cubic unit cell Ans: d = !" !!!! Z = d x 𝑎! 𝑁!/𝑀 = 2.7 x103 x(405)3 x 10—27 x 6.022 x1023/2.7 x 10-2 = 4 Since there are 4 atoms of the element present per unit cell. Hence, the cubic unit cell must be face centered or cubic close packed structure (ccp) 9. Niobium crystallises in body-centered cubic structure. If density is 8.55g/cm3, calculate atomic radius of niobium, given that its atomic mass is 93 u. Ans: d = !" !!!! a3 = !" !  !! = 2 x 93/8.55 x6.022 x1023 = 36.1 x106 a = (36.1)1/3 x102 =330 pm For BCC r = ! ! a r = ! ! x 330 r = 143pm 10. An element has a body-centered cubic (bcc) structure with cell edge of 288pm. The density of the element is 7.2 g/cm3. How many atoms are present in 208g of the element?     Ans: d = !" !!!! M = d a3 NA/Z = 7.2 x (2.88)3x10-24 x 6,022 x1023/2 = 103.57/2 M = 51.78 u 51.78 g (1mole) contains 6.022 x1023 atoms Therefore 208g contains 4.01 x 6.022 x1023 = 24.187 x1023 atoms.
  • 8. nBM V = = A nBM W Unit -2 THEORY OF DILUTE SOLUTIONS 1) What  is  solution?                     [1]   A:  It  is  a  homogenous  mixture  of  two  or  more  compounds.   2) What  is  dilute  solution?                     [1]   A:  It  is  a  solution  in  which  solute  concentration  is  very  less.   3) Give  an  example  for    solid-­‐solid  solution               [1]   A:  Copper  dissolved  in  gold.   4) Give  an  example  for  gas-­‐gas  solution                 [1]   A:  Mixture  of  oxygen  and  nitrogen  gases.   5) Give  an  example  for    gas-­‐solid  solution               [1]   A:  Solution  of  hydrogen  in  palladium.   6) Give  an  example  for  liquid-­‐solid  solution               [1]   A:  Amalgam  of  mercury  with  sodium.   7) Give  an  example  for    liquid-­‐liquid  solution               [1]   A:  Ethanol  dissolved  in  water.   8) Give  an  example  for    solid-­‐gas  solution               [1]   A:  Camphor  in  nitrogen  gas.   9) Define  mole  fraction  and  give  the  equation  to  calculate  it.         [2]   A:Mole  fraction  is  the  ratio  of  number  of  moles  of  one  component  to  the  total  number  of  moles   of  all  the  components  in  the  solution.   A B n AX n n A = +   B B nBX n n A = +   10)Define  molarity  and  give  the  equation  to  calculate  it.           [2]   A:  Number  of  moles  of  the  solute  present  per  liter  solution  is  known  as  molarity.       11)Define  molality  and  give  the  equation  to  calculate  it.           [2]   A:  Number  of  moles  of  the  solute  present  perkgsolvent  is  known  as  molality.   12)Define  the  term  solubility  of  a  substance.               [1]   A:  Solubility  of  a  substance  is  its  maximum  amount  that  can  be  dissolved  in  a  specified   amount  of  solvent  at  a  specified  temperature   13)State  Henry’s  law.                     [2]   A:  Henry’s  Law:  At  constant  temperature  solubility  of  a  gas  in  a  liquid  is  directly  proportional   to  the  partial  pressure  of  gas  present  above  the  solution.   OR     At  constant  temperature  the  partial  pressure  of  the  gas  in  vapor  phase  (p)  is  proportional   to  the  mole  fraction  of  the  gas  (x)  in  the  solution.   Mathematically p ∝ x ; p = KH x. Where KH is Henry’s law constant. KH depends on the nature of the gas.   14)Write  the  plot  which  shows  relation  between  partial  pressure  of  a  gas  v/s  its  mole   fraction.                         [2]   A:                   15)Mention  the  factors  affecting  solubility  of  a  gas  in  liquid.           [2]   A:  1.  Temperature  2.  Pressure   16)Explain  how  temperatures  effect  the  solubility  of  a  gas  in  liquid.       [2]   A:  Solubility  of  gases  in  liquid  decreases  with  rise  in  temperature.  According  to  Le  Chatelier’s   Principle,as  dissolution  is  an  exothermic  process,  the  solubility  should  decrease  with  increase   of  temperature.     17)Explain  how  pressure  effects  the  solubility  of  a  gas  in  liquid.         [1]   A:    The  solubility  of  gases  increases  with  increases  of  pressure.   18)Mention  the  applications  of  Henry’s  law.               [3]   A:  (a)  To  increase  the  solubility  of  CO2  insoft  drink  and  soda  water,  the  bottle  is  sealed  under   high  pressure.   Mole  fraction.   Partial  pressure  of  a  gas  
  • 9. (b)  To  avoid  bends,  as  well,  the  toxic  effects  of  high  concentration  of  nitrogen  in  the  blood,  the   tanks  used  by  scuba  divers  are  filled  with  air  dilute  with  helium.   (c)  At  high  altitudes  the  partial  pressure  of  oxygen  is  less  than  that  at  the  ground  level.  This   leads  to  low  concentrations  of  oxygen  in  the  blood  and  tissues  of  people  living  at  high   altitudes  or  climbers.       19)State  Raoult’slaw  of  liquid-­‐liquid  dilute  solutions.             [2]   A:  The  partial  vapour  pressure  of  each  component  of  the  solution  is  directly  proportional  to   its  mole  fraction  present  in  solution.   Thus,  for  component  1   P1  ⍺  x1   And     p1  =  p1 0x1   20)What  are  ideal  solutions?                   [1]   A:  The  solution  which  obey  Raoul’s  law  over  the  entire  range  of  concentration  are  known  as   ideal  solution   21)Mention  the  characters  of  ideal  solutions.               [3]   A:                             22)What  are  non-­‐ideal  solutions?                   [1]   A:  When  a  solution  does  not  obey  Raoult’s  law  over  the  entire  range  of  concentration,  then  it   is  called  non-­‐ideal  solution.   23)Mention  the  types  of  non-­‐ideal  solutions.               [1]   A:  There  are  two  types   (a)  Non-­‐ideal  solution  with  positive  deviation  from  Raoult’s  law   (b)  Non-­‐ideal  solution  with  negative  deviation  from  Raoult’s  law     24)Give  an  example  for  non-­‐ideal  solution  with  positive  deviation  from  Raoult’s    law.    [1]   A:  Mixtures  of  ethanol  and  acetone   Ideal   I.  It  obeys  Raoults  law  is  obeyed  at  all  temperature   and  concentration   P  =  PA  +  PB   II. ∆  V  mix  =  O  i.e.,  there  is  no  change  in  volume  on   mixing   III. ∆Hmix    =  O  i.e.,  there  is  no  enthalpy  change  when     ideal  solution  formed   IV. It  doesn’t  form  azeotropic  mixture   V. Force  of  attraction  between  A―A,  B―B is similar as A―B     25)Give  an  example  for  non-­‐ideal  solution  with  negative  deviation  from  Raoult’s    law.   [1]     A:  An  example  of  this  type  is  a  mixture  of  phenol  and  aniline.     26)What  are  azeotropes?  Give  example.                 [2]   A:  Azeotropes  are  binary  mixtures  having  the  same  composition  in  liquid  and  vapour  phase   and  boil  at  a  constant  temperature.   For  example:  ethanol-­‐water  mixture     27)State  Raoult’s  law  of  relative  lowering  of  vapour  pressure.         [1]   A:  Relative  lowering  of  vapour  pressure  is  equal  to  the  mole  fraction  of  the  solute.     28)Define  colligative  property.                   [1]   A:  The  properties  depend  on  the  number  of  solute  particles  irrespective  of  their  nature   relative  to  the  total  number  of  particles  present  in  the  solution.  Such  properties  are  called   colligative  properties     29)Mention  four  colligative  properties  of  dilute  solutions.           [2]   A:  Relative  lowering  of  vapour  pressure   I. Elevation  in  Boiling  point   II. Depression  in  Freezing  point   III. Osmotic  pressure   30)Define  the  term  relative  lowering  of  vapour  pressure.           [2]   A:  It  is  the  ratio  of  lowering  of  vapour  pressure  to  the  vapour  pressure  of  the  pure  solvent   o o P P Relativeloweringof V.P P − =   31)What  is  elevation  in  boiling  point?                 [1]   A:  Elevation  in  boiling  point  is  the  difference  between  the  boiling  point  of  the  solution   containing  non-­‐volatile  solute  and  the  boiling  point  of  the  pure  solvent   ∆Tb  =  T  –  To   32)Give  the  relation  between  elevation  in  boiling  point  and  molecular  mass  of  solute.   [2]   A:     ΔTb = Kb 2 1 2 w 1000 w M × ×   Where w2 is mass of solute, w1 is the mass of the solvent; M2 is molar mass of the solute
  • 10.   33)Give  the  S.I.unit  of  ebullioscopic  constant  or  boiling  point  elevation  constant  or  molal   elevation  constant.                     [1]   A:  The  unit  of  Kb  is  K  kg  mol-­‐1     34)What  is  depression  infreezing  point?                 [1]     A:  It  is  the  decrease  in  the  freezing  point  of  solution  when  non-­‐volatile  solute  is  added  into   solvent.   35)Give  the  relation  between  depression  infreezing  point  and  molecular  mass  of  solute.[2]   A:     ΔTf = Kf 2 2 1 w M w 1000 ∴ M2 = f 2 f 1 K 1000 w T w × × Δ × where M2 is molar mass of the solute. Note: Values of Kf and Kb of the solvent depends on their molecular mass and ΔHfusion and ΔHvap of the solvent respectively.   36)Give  the  S.I.unit  of  cryoscopic  constant.               [1]     A:  The  unit  of  Kf  is  K  kg  mol-­‐1     37)Draw  the  plot  showing  elevation  in  boiling  point  in  a  solution.         [2]   A:                           ―∆Tb  ―         Temperature/K         Vapour  pressure   Tb  Tb 0   Solution  Solvent   38)Draw  the  plot  showing  depression  in  freezing  point  in  a  solution.       [2]                     ―∆Tf―         Temperature/K   39)Define  osmosis.                       [1]   A:  The  process  of  movement  of  solvent  particles  from  lower  concentration  to  higher   concentration  through  semi-­‐permeable  membrane  to  attain  equilibrium  is  called  osmosis.               40)What  is  osmotic  pressure  and  give  its  relation  with  concentration  of  solution.   [2]   A:  The  amount  of  external  pressure  required  to  stop  the  osmosis.   =  CRT     Where:   =  osmotic  pressure,  R  =  gas  constant,  T  =  temperature,  C  =  concentration  of  solution.     41)  What  are  isotonic  solutions?                   [1]   A:  Two  different  solutions  having  sameosmotic  pressure  are  called  isotonic  solutions   42)What  are  hypertonic  solutions?                 [1]   A:  The  solution  having  more  osmotic  pressure  than  other   43)What  are  hypotonic  solutions?                 [1]   A:  The  solution  having  less  osmotic  pressure  than  other   Tf   Tf o   Vapour  pressure   Solution   Liquid  solvent   Frozen  solvent  
  • 11. 44)Explain  the  application  of  reverse  osmosis  in  desalination  of  water.       [2]   A:  When  pressure  more  than  osmotic  pressure  is  applied,  pure  water  is  squeezed  out  of  the   sea  water  through  the  membrane.  A  variety  of  polymer  membranes  are  available  for  this   purpose.   The  pressure  required  for  the  reverse  osmosis  is  quite  high.  A  workable  porous  membrane  is   a  film  of  cellulose  acetate  placed  over  a  suitable  support.  Cellulose  acetate  is  permeable  to   water  but  impermeable  to  impurities  and  ions  present  in  sea  water.   45)What  is  reverse  osmosis?                   [1]   A:  Movement  of  solvent  particles  from  higher   concentration  to  lower  concentration  through  a  semi   permeable  membrane,  when  pressure  is  applied   greater  than  osmotic  pressure         46)What  is  abnormal  molar  mass?                 [1]   A:  A  molar  mass  that  is  either  lower  or  higher  than  the  expected  or  normal  value  is  called  as   abnormal  molar  mass.   47)  Define  Vant  hoff  factor   Van’t Hoff factor ‘i’ to account for the extent of association or dissociation of a solute in a solvent is i = Normal molar mass Abnormal molar mass or i = observed colligative property calculated colligative property or i = total number of moles of particles after association or dissociation Number of moles of particles before association or dissociation 48)What  is  the  value  of  i  for  NaCl.                   [1]   A:  2     49)What  is  the  value  of  i  for  K2SO4.                 [1]   A:  3   50)What  is  the  value  of  i  for  sugar.                 [1]   A:  1   51)What  is  the  value  of  i  for  glucose.                 [1]   A:  1   52)On  what  factor  the  colligative  property  depends  on.           [1]   A:  It  depends  on  number  of  moles  of  solute  particles  but  not  on  the  nature  of  the  solute.   53)Write  the  mathematical  equation  of  Raoults  law  in  case  of  non-­‐volatile  solute.   [1]   A:  If  one  of  the  components  (solute)  is  non-­‐volatile  then  the  equation  of  Raoults  law  is.   PB=  O   P  =  PA  +  PB   P  =  PA  +  O   P  =  PA     54)Write  the  differentiate  between  non-­‐ideal  solutions  with  positive  deviation  and   negative  deviation  from  Raoult’s  law                 [2]                   55)Define  lowering  of  vapour  pressure?                 [1]   A:  It  is  defined  as  the  difference  between  the  vapor  pressure  of  the  solvent  in  pure  state  and  the   vapour  pressure  of  the  solution     ∆P  =  Po  –  P     56)State  Roult’s  law  of  relative  lowering  of  vapour  pressure           [1]   A:  It  states  that  the  relative  lowering  of  vapour  pressure  is  equal  to  the  mole  fraction  of  the   solute       Positive  deviation     (a)In  this  solution  solvent  –   solute  interaction  is  weaker   than  solvent  –  solvent,   solute-­‐solute  interactions     (b)  P  >  PA  +  PB   (c)  ∆  V  >  O   (d)  ∆H  =  positive   (e)      It  forms  azeotrope  with   minimum  boiling  point     Negative  deviation     (a)      In  this  solution  solvent   –  solute  interaction  is   stronger  than  solvent  –   solvent,  solute-­‐solute   interactions   (b)  P  <  PA  +  PB   (c)    ∆  V  <  O   (d)  ∆H  =  negative   (e)It  forms  azeotrope  with   maximum  boiling  point       P  =  PA O.  XA  
  • 12. 57)Why  sea  water  freezes  below  00C?                 [1]     A:  Sea  water  freezes  below  00C  due  to  the  presence  of  the  non-­‐volatile  solute  dissolved  in  the   water.     58)Derive  the  equation  to  calculate  molecular  mass  of  unknown  solute  using  Raoult’s  law   of  relative  lowering  of  V.P                   [3]   A:  According  to  Raoult’s  law  relative  lowering  of  vapour  pressure  is  equal  to  the  mole  fraction   of  the  solute.   o Bo P P X P − =   o nP P B o n nP BA − = +   nB<<<nA  for  dilute  solution   So  we  can  neglect    nB  in  denominator     o nP P B o nP A − =   B B A A W o MP P o WP M − =   o MWP P B A o W MP BA − =   B A B A oW .M P M oW P P ⎛ ⎞ = ⎜ ⎟ −⎝ ⎠         Numerical  problems   1. A  solution  containing  2.56  g  sulphur  in  100  g  CS2  gave  a  freezing  point  lowering  of  0.383  K.   Calculate  the  molar  mass  of  sulphur  molecules.  Given  Kf  of  CS2  =  3.83  K  kg  mol− 1 .   Ans.  ΔTf  =  0.383  K,     Kf  =  3.83  K  kg  mol− 1   ΔTf  =  Kf  ×  m     ;   ΔTf  =  Kf  ×   2 2 1 W M W 1000   M2  (molar  mass  of  sulphur  molecules)  =   2.56 1000 3.83 100 0.383 × × ×  =  256  g  mol− 1   2. 100  g  of  water  has  3g  of  urea  dissolved  in  it.  Calculate  the  freezing  point  of  the  solution.  Kf  for   water  =  1.86  K  kg  mol− 1 ,  molar  mass  of  urea  =  60  g  mol− 1 ,    freezing  point  of  water  =  273.15  K   (0°C)   Ans.  ΔTf  =  Kf  ×  m       ;   ΔTf  =  1.86  ×   2 2 1 W M W 1000     ΔTf  =  1.86  × 3 1000 60 100 × ×  =  0.93     ΔTf  =   0 f fT T−         ∴  Tf  =  273.15  −  0.93  =    272.22     or     −0.93°C   3. Human   blood   has   osmotic   pressure   of   7.2   atm   at   body   temperature   of   37°C.   Calculate   the   molar  concentration  of  solute  particles  in  blood.    Given  R  =  0.0821  L  atm  K− 1 .   Ans.    π  =  CRT     ;     C  =   RT π       T  =  273  +  37  =  310  K   C  (molar  concentration)  =   7.2 0.0821 310×  =  0.2828  M   4. Vapour  pressure  of  benzene  is  200  mm  of  Hg.  2g  of  a  non-­‐volatile  solute  in  78  g  benzene  has   vapour   pressure   of   195   mm   of   Hg.   Calculate   the   molar   mass   of   the   solute.   Molar   mass   of   benzene  =  78  g  mol− 1 .   Ans.   2 1 nP P P n °− = °  ;   2 2 1 1 W MP P WP M °− = °     200 195 200 −  =   2 2 M 78 78 ;         Molar  mass  of  solute  (M2)  =   200 2 5 ×  =  80  g  mol− 1  
  • 13. 5. 500  g  of  water  containing  27  g  of  a  non-­‐volatile  solute  will  boil  at  100.156°C.  Calculate  the   molar  mass  of  the  solute.  Given  boiling  point  of  water  =  100°C,  Kb  =  0.52  K  kg  mol− 1 .   Ans.  ΔTb  =  Kb  ×  m   ;   ΔTb  =  Kb  ×   2 2 1 W M W 1000     Molar  mass  of  solute  (M2)  =   0.52 27 1000 500 0.156 × × ×  =  180  g  mol− 1 .       Unit  3   Electrochemistry   One  mark  questions   1. What  is  an  electrolyte?   An  electrolyte  is  a  compound  which  conducts  electricity  either  in  its  aqueous  solution  or  in  its  molten   state.   e.g    Acids    HCl,  CH3COOH,  HNO3                      Bases    NaOH,  NH4OH                      Salts        CuSO4,  NaCl    etc       2. Define  conductivity  of  an  electrolytic  solution.   Conductivity  of  a  solution  of  an  electrolyte  is  the  conductance  of  a  solution  placed  between  two   electrodes  each  of  one  square  meter  area  kept  at  a  distance  of  1  meter  apart.     3. Write  the  S.I  unit  for  conductivity.   SI  unit  for  conductivity  is  Sm-­‐1 .     4. Give  the  S.I  unit  for  molar  conductivity.   Sm2  mol-­‐1     5. State  Kohlrausch    Law.   The  limiting  molar  conductivity  of  an  electrolyte  can  be  represented  as  the  sum  of  the  individual   contributions  of  the  anion  and  cation  of  the  electrolyte.     6. Define  electrode  potential.   The  potential  difference  developed  between  the  electrode  (metal)  and  the  electrolyte  (solution   containing  its  own  ions)  when  both  the  metal  and  the  solution  are  in  equilibrium  is  called  electrode   potential.     7. Define  standard  electrode  potential.   Standard  electrode  potential  is  the  electrode  potential  when  the  concentrations  of  all  the  species   involved  is  unity  (1M)  and  if  a  gas  is  involved  its  pressure  should  be  1  bar.         8. Write  Nernst  Equation.   ⎡ ⎤⎣ ⎦ n+ n+ o 10 n+( M / M) ( M / M) 0.059 1 E = E - log n M     9. State  Faradays  second  law  of  electrolysis.   The  amounts  of  different  substances  liberated  by  the  same  quantity  of  electricity  passing  through  the   electrolytic  solution  are  proportional  to  their  chemical  equivalent  weights.  
  • 14. 10. Define  cell  potential.   Cell  potential  is  the  potential  difference  between  the  two  electrodes  of  the  galvanic  cell.     11. Define  EMF  of  the  cell.   It  is  the  difference  between  the  electrode  potential  of  the  cathode  and  anode  when  no  current  is   drawn  through  the  cell.     12. What  is  Fuel  cell?   Galvanic  cells  that  are  designed  to  convert  the  energy  of  combustion  of  fuels  like  hydrogen,  methane   etc  directly  into  electrical  energy  are  called  fuel  cells.     13. Give  a  method  to  prevent  rusting.   Rusting  may  be  prevented  by  barrier  protection  like  painting,  metal  plating  etc.     14. Write  the  relationship  between  cell  potential  and  Gibb’s  energy                                                                       o o r cellG nFEΔ = −   15. Write  the  relationship  between  equilibrium  constant  and  Eo cell   0.059 logo cell c V E K n =     2  mark  questions   1. What  are  redox  reactions?  Give  an  example.   Reactions  in  which  both  oxidation  and  reduction  taken  place  simultaneously  are  called  redox  reactions.   e.g         ⎯⎯→2+ 2+ Zn+Cu Zn +Cu    In  this  Zn  is  oxidised  to  Zn2+                            Cu2+  is  reduced  to  Cu     2. Mention  any  two  factors  on  which  the  conductivity  of  an  electronic  conductor  depends.   The  electronic  conductance  depends  on     (i) The  nature  and  structure  of  the  metal   (ii) The  number  of  valence  electrons  per  atom.   (iii)  Temperature  (it  decreases  with  increase  in  the  temperature)  (any  two)     3. Mention  any  two  factors  on  which  the  conductivity  of  an  electrolytic  conductor  depends.   The  conductivity  of  electrolytic  solution  depends  upon     (i)    The  nature  of  the  electrolyte   (ii)    Size  of  the  ions  produced  and  their  solvation.   (iv) The  nature  of  the  solvent  and  its  viscosity.   (iv)    Concentration  of  the  electrolyte  and    (v)  Temperature  (increases  with  increase  in  temperature  (any  two)     4. Give  two  difference  between  the  conductivity  of  an  electronic  conductor  and  electrolytic  conductor.     1.  On  passing  direct  current  composition  of  electronic  conductor  does  not  change  but  that  of              electrolytic  conductor  changes.   2.  On  increasing  the  temperature  in  case  of  electronic  conductor  conductivity  decreases  in  case  of              electrolytic  conductor  conductivity  increases.     5. What  is  a  strong  electrolyte?  Give  an  example.   A  strong  electrolyte  is  an  electrolyte  that  dissociates  completely  into  ions  at  moderate  concentrations   of  its  aqueous  solution   Ex:  acids  HCl,  H2SO4,  HNO3   Base  NaOH,  KOH   Salts  NaCl,  CuSO4  (any  salt)     6. What  is  a  weak  electrolyte?  Give  an  example.   A  weak  electrolyte  is  an  electrolyte  that  dissociates  partially  into  ions  in  its  aqueous  solution.   Ex:  CH3COOH,  NH4OH     7. Define  molar  conductivity.  How  is  it  related  to  conductivity?   Molar  conductivity  of  a  solution  at  a  given  concentration  is  the  conductance  of  the  volume  V  of  a   solution  containing  one  mole  of  electrolyte  kept  between  two  electrodes  with  area  of  cross  section  A   and  distance  of  unit  length.       It  is  represented  by  λm   λm  =  kv    where  k  is  conductivity  and  v  is  volume  of  the  solution  containing  1  mole  of  the  electrolyte                                                                                                    or   If  λm    is  in  Sm2 mol-­‐1  and  k  in  Sm-­‐1                                                                   m k λ = 1000C          where  C  is  conc.  in  mol  L-­‐1                                                                                            or                                  When  λm        is  in  S  cm2 mol-­‐1  and  k  is  in  Scm-­‐1                                                                                         m 1000k λ = C     8. How  does  conductivity  of  a  solution  change  with  change  in  concentration  of  the  solution?  Give   reason.     Conductivity  of  a  solution  decreases  with  decrease  in  concentration  of  the  solution  due  to  decrease  in   the  number  of  ions  per  unit  volume  of  the  solution.        
  • 15. 9. Define  limiting  molar  conductivity.  Write  the  relationship  between  molar  conductivity  and  limiting   molar  conductivity.   Limiting  molar  conductivity  is  the  molar  conductivity  of  a  solution  when  concentration  approaches  zero   or  molar  conductivity  at  infinite  dilution.   1 o 2 m mλ = λ - AC  where  λm  is  molar  conductivity  and  λo m  is  limiting  molar  conductivity,  C  is   concentration  in  mole/L  and  A  is  constant  which  depends  on  nature  of  the  electrolyte,  solvent  and   temperature.     10. Draw  a  graph  of  molar  conductivity  verses  square  root    of  the  molar  concentration  for  KCl  and   CH3COOH  mentioning  clearly  each.                                                                                             11. How  is  limiting  molar  conductivity  for  a  strong  electrolyte  found  out  by  extrapolation  method?   Prepare  four  solutions  of  given  strong  electrolyte  of  different  concentrations.  Measure  the   conductivities  of  each  solutions  using  conductivity  cell  and  calculate  the  molar  conductivities  of  each   solution.  Plot  a  graph  of  molar  conductivity  verses  square  root  of  the  molar  concentration  for  these   solutions.  A  straight  line  is  obtained  which  is  to  be  extrapolated  back  so    as  to  touch  the  vertical  axes   .This  point  of  intersection  on  the  vertical  axes  gives  the  limiting  molar  conductivity.     12. State  and  illustrate  Faradays  first  law  of  electrolysis.   The  amount  of  chemical  reaction  which  occurs  at  any  electrode  during  electrolysis  by  a  current  is   proportional  to  the  quantity  of  electricity  passed  through  the  electrolyte  either  through  its  aqueous   solution  or  molten  state.     If  w  is  the  mass  of  the  substance  deposited  and  Q  is  the  current  passed  in  coulombs                                      w  ∝    Q   But  Q  =  I  t    where  I  is  the  current  strength  in  ampere  and  t  is  time  in  seconds.     13. Conductivity  of  0.01  M  NaCl  solution  is  0.12  Sm-­‐1 .  Calculate  its  molar  conductivity.   -2 2 m k 0.12 λ = = =1.2 ×10 Sm / mol 1000C 1000 × 0.01       14.  The  molar  conductivity  of  0.1M  nitric  acid  is  630  S  cm2  /mol.  Calculate  its  conductivity.                           m -1 1000k λ = C 1000k 630 = 0.1 630 × 0.1 ∴ k = = 0.063 Scm 1000     15. A  solution  of  Ni(NO3)2  is  electrolysed    between  platinum  electrodes  using  a    current  of  5  amperes  for   20  minutes.    What  mass  of  nickel  is  deposited  at  the  cathode?  (Mol  mass  of  Ni  =  58.7)                                                                                                          Q  =  I    t                                                                                                                    =  5×20×60  =  6000C                                                   ⎯⎯⎯⎯⎯→2+ - Ni + 2e Ni 2 × 96500C 193000C 58.7g   For  193000C  of  electricity  mass  of  nickel  obtained                                                      =  58.7g   For  6000C  of  electricity           6000 × 58.7 =1.812g 193000     16. How  long  it  will  take  for  the  deposition  of    0.2g  of  silver  when  silver  nitrate  solution  is  electrolysed   using  0.5  ampere  of  current  (Mol  mass  of  Ag  =  108)       ⎯⎯→+ - Ag + e Ag 96500C 108g   For  108g  of  silver  to  be  deposited  current  required  is  96500C.   For  0.2g  of  Ag       But  Q  =  I  t         0.2 × 96500 =178.7C = Q 108   Q 178.7 t = = = 357.4 se I 0.5   17.    The  cell  in  which  the  following  reaction  occurs   3 2 ( ) ( ) ( ) 2( )2 2 2aq aq aq sFe I Fe I+ − + + ⎯⎯→ +   Has  Eo cell  =  0.236V  at  298K.  Calculate  the  standard  Gibb’s  energy  and  the  equilibrium  constant  for  the   cell  reaction.                  n  =  2                   Δ.Go  =  -­‐nFEo                                                    =  -­‐  2×96500×0.236                                                                                                          =  -­‐  45548  J                                                                                     0.059 logcellE K n =  
  • 16.                                                                               0.059 0.236 log 2 K=                                                                                   2 0.236 log 8 0.059 K × = =   Taking  the  antilog    K  =  108       18. Write  the  reaction  taking  place  at  cathode  and  anode  when  aqueous  solution  of  copper  sulphate  is   electrolysed  using  copper  electrodes.                                                       2 ( ) ( ) 2 ( ) ( ) t 2 t 2 anode cathode oxdn s aq redn aq s A Cu Cu e A Cu e Cu + − + − ⎯⎯⎯→ + + ⎯⎯⎯→   Thus  copper  from  anode  dissolves  and  an  equivalent  amount  of  pure  copper  is  deposited  on  cathode.   This  technique  is  used  in  electrolytic  refining  of  crude  copper.       19. Write  the  reaction  taking  place  at  anode  and  cathode  when  molten  NaCl  is  electrolysed.   When  molten  sodium  chloride  is    electrolysed  using  inert  electrodes                                                       22 2t anode oxdn redn A Cl Cl e At cathode Na e Na − − + − ⎯⎯⎯→ + + ⎯⎯⎯→   Thus  chlorine  gas  is    liberated  at  anode  and  Sodium  metal  is  formed  at  cathode.     20. Write  the  reaction  taking  place  when  aqueous  solution  of  NaCl  is  electrolysed.   When  aqueous  solution  of  NaCl  is  electrolysed,                                                               2 NaCl Na Cl H O H OH + − + − ⎯⎯→ + +à àÜá àà                                                                     The  reaction  taking  place  at  cathode  is                                                                   2( ) 1 2 aq gH e H+ − + ⎯⎯→   The  reaction  taking  place  at  anode  is                                                       ⎯⎯→- - aq 2 aq 1 Cl Cl + e 2     21. What  is  a  primary  battery/cell  ?Give  an  example.   Primary  battery  is  one  in  which  reaction  occurs  only  once  and  cannot  be  recharged.  Eg  Dry  cell  or   Leclanche  cell  and  Mercury  cell     22. What  is  a  secondary  battery/cell  ?  Give  an  example.   Secondary  battery  is  one    which  can  be  recharged  by  passing  current  through  it  in  opposite  direction,so   that  it  can  be  Reused.   Eg:    Lead  storage  battery  and  Nickel  cadmium  cell.     23. Eo Cu  =  +0.34V  and  Eo Zn  =-­‐0.76V.  Daniel  cell  is  obtained  by  coupling  these  two  electrodes.   (i)  represent  the  cell  symbolically   (ii)  calculate  the  EMF  of  the  cell     (i)  Daniel  cell  can  be  represented  as                                                                                                        Zn/  Zn2+   (aq)  ||  Cu2+   (aq)  /Cu     (ii)  EMF  of  Daniel  cell  Eo  cell  =  Eo R  -­‐  Eo L                                                                                                          =  Eo Cu  -­‐  Eo Zn  =  0.34-­‐(-­‐0.76)                                                                                                        =  1.10V     24. Calculate  the  molar  conductivity  of  a  solution  of  MgCl2  at  infinite  dilution  given  that  the  molar  ionic   conductivities  of     2+ - o 2 -1 o 2 -1 ( Mg ) ( Cl ) λ =106.1 Scm mol and λ = 76.3 Scm mol                                                                                                             2+ - 2 o o o MgCl Mg Cl 2 -1 λ = λ + 2λ =106.1+ 2( 76.3) = 258.7 Scm mol     25. The  resistance  of  a  conductivity  cell  containing  0.001  M  KCl  solution  at  298K  is  1500Ω.  What  is  the   cell  constant  if  the  conductivity  of  0.001M  KCl  solution  at  298K  is  0.146×10-­‐3  Scm-­‐1 ?     Cell  constant  G*=  Rk                                                            =resistance  ×  conductivity                                                          =0.146×10-­‐3  Scm-­‐1 ×1500S-­‐1                                                          =  0.219  cm-­‐1     Question  carrying  3  or  4  marks     1. Explain  the  construction  of  Daniel  cell.  Write  the  reaction  taking  place  at  anode  and  cathode  and  the  net   cell  reaction.  (3  mark)   To  prepare  Daniel  cell  get  a  zinc  electrode  by  dipping  zinc  rod  in  1M  ZnSO4  solution.  Get  a  copper   electrode  by  dipping  a  copper  plate  in  1  M  CuSO4  solution.  Couple  these  two  electrodes  using  a  salt  bridge   to  get  Daniel  cell.  Reactions  taking  place                                     2 2 2 2 ( ) ( ) ( ) ( ) t anode 2 cathode 2 oxdn redn s aq aq s A Zn Zn e At Cu e Cu Net cell reaction Zn Cu Zn Cu + − + − + + ⎯⎯⎯→ + + ⎯⎯⎯→ + ⎯⎯→ +    
  • 17. 2. With  a  labeled  digram  explain  standar  hydrogen  electrode.  Represent  it  symbolically.  Write  the  reduction   reaction  at  the  anode.  What  is  its  electrode  potential?    (4  marks)                                                                                           It  consists  of  a    platinum  electrode  coated  with  platinum  black.  The  electrode  is  dipped  in  1M  HCl.  Pure   hydrogen  gas  is  bubbled  through  it  under  a  pressure  of  1  bar.  S.H.E  is  represented  as                                                                                                        Pt(s)  |H2  (g)(1bar)  |H+ (aq)(1M)           The  reduction  reaction  taking  place  is                                                                                             2 1 ( ) ( ) 2 H aq e H g+ − + ⎯⎯→   S.H.E  is  assigned  an  electrode  potential  of  0.0  V  at  all  temperatures.       3. Explain  the  use  of  standard  hydrogen  electrode  in  measuring  the  standard    electrode  potentials  of  copper   and  zinc  electrode  (4  mark)   Construct  a  standard  electrode  of  the  given  metal  by  dipping  the  pure  metal  in  1M  solution  of  its  own  ion   at  25o  C  Couple  this  standard  electrode  with  SHE  using  a  salt  bridge  to  get  galvanic  cell.  Measure  the  emf   of  the  cell  using  suitable  instrument  like  potentiometer.                                Eo  =  Eo R  –  Eo L     One  of  the  electrodes  of  the  cell  is  SHE  and  its  electrode  potential  is  0.0V.  So  the  electrode  potential  of  the   given  electrode  will  be  the  emf  of  the  cell  in  magnitude.  If  reduction  takes  place  at  the  given  electrode  its   Eo  will  be  +ve  but  if  oxidation  takes  place  at  the  given  electrode  is  Eo  will  be  –ve.     e.g  if  SHE  is  coupled  with  standard  copper  electrode  reduction  takes  place  at  copper  electrode  cell  can  be   represented  as      Pt  (s)  |H2(g.  1bar)|H+ (aq1M)||Cu2+ (aq.1M)|Cu   2+ + 2 o o o cell Cu / Cu H / H E = E - E   2+ 2+ o o Cu / Cu Cu / Cu 0.34 = E - 0 ∴E = 0.34V            If  SHE  coupled  with  standard  zinc  electrode  oxidation  takes  place  at  zinc  electrode.  Cell  can  be   represented  as     2 ( .1 ) ( ) ( ) 2( .1 ) ( .1 )/aq M s s g bar aq MZn Zn Pt H H+ + ⏐⏐ ⏐ ⏐   2 2/ / o o o H H Zn Zn E cell E E+ += −   2 2 // 0.76 0 0.76o ZnZn Zn Zn E E V+ += − ∴ = −     4. How  is  Kohlrausch  law  helpful  in  finding  out  the  limiting  molar  conductivity  of  a  weak  electrolyte?  (3  m)   Let  us  try  to  calculate  λo m  for  a  weak  electrolyte  CH3COOH.  Select    three  strong  electrolytes  whose  λo m  can   be  found  by  extrapolation  method  in  such  a  way  that  if  we  subtract  λo m  for  one  electrolyte  from  the  sum   of  λo ms  of  the  remaining  two  electrolyte  λo m  for  CH3COOH  can  be    obtained.  The  three  electrolytes  to  be   selected  are  CH3COONa,  HCl  &  NaCl                                       3 3 o o o o CH COOH CH COONa HCl NaClλ = λ + λ - λ     5. The  values  of  limiting  molar  conductivities  (λo m)  for  NH4Cl,  NaOH  and  NaCl  are  respectively  149.74;  248.1   and  126.4  Scm2 mol-­‐1 .  Calculate  the  limiting  molar  conductivity  of  NH4OH      (3M)                                                                           4 4 o o o o NH OH NH Cl NaOH NaClλ = λ + λ - λ                                                                                                            =  149.74+248.1-­‐126.4                                                                                                            =  271.44  Scm2  mol-­‐1     6. Calculate  the  equilibrium  constant  for  the  reaction  at  298K   2 ( ) ( ) ( )2 ( ) 2s aq sCu Ag aq Cu Ag+ + + ⎯⎯→ +   Given  that  Eo  Ag+ /Ag  =  0.80V  and    Eo (Cu2+ /Cu)  =  0.34V                                                         0.059 logo cell cE K n =                                                   log 0.059 o c nE cell K∴ =                                                               2 ( / ) ( / ) o o o cell Ag Ag Cu Cu E E E+ += −                                                                                    =0.80-­‐0.34=0.46V                                                         2 0.46 log 15.59 0.059 cK × = =                            Taking  the  antilog  Kc  =3.92×1015           7. In  Leclanche  cell  (dry  cell)  what  are  anode  and  cathode?  What  is  the  electrolyte  used?  Write  the  reactions   at  each  electrode.  What  is  the  role  of  zinc  chloride?     It  consists  of  a  zinc  container  as  an  anode.  A  graphite  rod  surrounded  by  a  mixture  of  manganese  dioxide   and  carbon  powder  is  cathode.       The  space  between  the  electrodes  is  filled  with  electrolyte  a  moist  paste  of  ammonium  chloride  and  zinc   chloride        
  • 18. Reaction  taking  place   ⎯⎯→ 2+ - ( s)At anode Zn Zn + 2e   ⎯⎯→+ - 2 4 3At cathode MnO + NH + e MnO( OH) + NH   NH3  produced  in  the  reaction  forms  a  complex  with  Zn2+   to  form  [Zn(NH3)4]2+ .     8. What  are  the  anode  and  cathode  of  lead  acid  battery?  What  is  the  electrolyte?  Write  the  reactions  taking   place  at  anode  and  cathode  and  the  overall  reaction  during  discharging  of  the  battery.  (3  M)   It  consists  of  lead  anode  and  a  grid  of  lead  packed  with  lead  dioxide  (PbO2)  as  cathode.     Electrolyte  is  38%  solution  of  sulphuric  acid.  The  reactions  taking  place  when  the  battery  is  in  use  are                                                         2 ( ) 4 ( ) 4( ) 2 2 4 ( ) ( ) 4 ( ) 2 ( ) 2 ( ) 4 2 2 s aq s aq aq s l Anode Pb SO PbSO e Cathode PbO s SO H e PbSO H O − − − + − + ⎯⎯→ + + + + ⎯⎯→ +   The  overall  reaction  is   ( ) 2 ( ) 2 4 ( ) 4 ( ) 2 ( )2 2 2s s aq s lPb PbO H SO PbSO H O+ + ⎯⎯→ +     9. In  Hydrogen  oxygen  fuel  cell  (i)  Draw  the  schematic  diagram  mentioning  the  anode  and  cathode.  What  is   the  electrolyte?  Write  the  reaction  taking  place  at  each  electrodes  and  the  net  cell  reaction.  (4M)                                                                                                                       In  this  hydrogen  and  oxygen  gases  are  bubbled  through  porous  carbon  electrodes  into  concentrated   aqueous  sodium  hydroxide  solution.  Catalyst  like  finely  divided  platinum  or  palladium  is  incorporated  into   the  electrodes  for  increasing  the  rate  of  electrode  reaction     Reaction  taking  place  are   ⎯⎯→ ⎯⎯→ - - 2 ( g) 2 ( l) ( aq) - - 2( g) ( aq) 2 ( l) Cathode O + 2H O + 4e 4OH Anode 2H + 4OH 4H O + 4e   Overall  reaction  is     ⎯⎯→2 ( g) 2 ( g) 2 ( l)2H +O 2H O     10. What  is  corrosion?  During  rusting  of  iron  write  the  anodic  and  cathodic  reactions.  Give  the  composition   of  rust.  (3M)   When  a  metal  is  exposed  to  the  atmosphere  it  is  slowly  attacked  by  the  constituents  of  the  environment   as  a  result  of  which  the  metal  is  slowly  lost  in  the  form  of  its  compound  .  This  is  called  corrosion.       Reaction  taking  place  are   ⎯⎯→ ⎯⎯→ 2+ - ( s) - 2 ( g) 2 ( l) At Anode 2Fe 2Fe + 4e At Cathode O + 4H +( aq)+ 4e 2H O   H+  are  produced  from  H2CO3  formed  due  to  dissolution  of  carbon  dioxide  from  air  into  water  The  Fe2+   ions   are  further  oxidised  by  atmospheric  oxygen  to  ferric  ion  which  are  ultimately  converted  to  hydrated  ferric   oxide  called  rust.  Composition  of  rust  is  (Fe2O3.xH2O).       11. A  conductivity  cell  when  filled  with    0.01M  KCl  has  a  resistance  of  747.5  ohm  at  25o C.  When  the  same     cell  was    filled  with  an  aqueous  solution  of    0.05M  CaCl2  solution  the  resistance    was  876  ohm.  Calculate     (i)    Conductivity  of  the  solution   (ii  )Molar  conductivity  of  the  solution            (given  conductivity  of  0.01M  KCl  =  0.14114  sm-­‐1 )                                (3M)     Cell  constant  G*  =  Rk                                                              =  747.5×0.14114                                                            =0.105.5m-­‐1     -1 -1cell constant 105.5m Conductivity k = = = 0.1204Sm R 876 ohm   2 -1 m k 0.1204 Molar conductivity λ = = = 0.00241sm mol 1000C 1000 × 0.05   12. The  electrical  resistance  of  a  column    of  0.05M  NaOH  solution  of  diameter  1cm  and  length  50cm  is   5.55×103  ohm.  Calculate  its    (i)  resistivity    (ii)  conductivity    (iii)  molar  conductivity                                    (3M)   Cell  constant   o l G = a   l  =  50  cm   Diameter  =  1  cm  ∴  radius  =  0.5  cm   Area  of  cross  section  A  =  πr2   =  3.14×(0.5)2      =  0.785  cm3                                                                                                                                                                         * -150 G = = 63.694 cm 0.785  
  • 19. -2 1 1 Resistivity ρ = = = 87.135 Ω k 1.148 ×10   m -2 2 -1 1000k Molarconductivityλ = C 1000 ×1.148 ×10 = 0.05 = 229.6 S cm mol   13. Calculate  the  emf  of  the  cell  in  which  the  following  reaction  takes  place.   2 ( ) ( )2 (0.002 ) (0.160 ) 2s sNi Ag M Ni M Ag+ + + ⎯⎯→ +     Given  that  Eo cell  =  1.05V     2 2 ( ) 10 2 ( ) [ ][ ]0.059 log 2 [ ][ ] so cell cell s Ni Ag E E Ni Ag + + = −   But  [M]  for  any  element  is  taken  as  unity     ⎡ ⎤⎣ ⎦ ⎡ ⎤⎣ ⎦ 2+ o cell cell 10 2+ Ni0.059 E = E - log 2 Ag   ( ) 2 0.059 0.160 = 1.05 - log 2 0.002   =  0.914V                   Unit-4 CHEMICAL KINETICS Number of Hours of Teaching-9 Marks allotted-8 In part-D, 5mark question is split preferable in the form of 3+2 Definition :- The branch of chemistry which deals with study of reaction rate and their mechanism is called chemical kinetics Rate of a chemical reaction Q. 1 What is rate of reaction? (1m) Ans: Change in molar concentration of reactant or product in per unit time is called rate of reaction. Types of rate of reactions For reaction R à P Average rate = decrease in conc. R Of reaction time taken rav = - ∆[R] ∆t Average rate = increase in conc. Of P Reaction time taken rav = + ∆[P] ∆t 8 Marks Part –A 1x1=1 Part –B 1x2=2 Part-C 1x5=5
  • 20. Q2:- For the reaction RàP, the conc. of reactant changes from 0.03M to 0.02M in 25 min. calculate average rate of the reaction using the unit of time in seconds. rav= - ∆[R]= - (0.02-0.03 ) ∆t 25x60 =-[-0.01] 1500 = 6.66x10-6 M/s Q3: What is the SI Unit of rate of reaction ? (1m) Ans: Mol /L /s Factors influencing Rate of reaction Q4 :- Mention any two factors which influence the rate of reaction . 2M Ans 1) Pressure or conc. of reactants 2) temperature 3) catalyst. Dependence of rate on concentration . Q5.) What is rate law ? (1 m) Ans: Representation of rate of reaction in terms of concentration of reactants is called rate law. Rate expression and rate equation Q.6) Define rate equation or rate expression (2m) Ans: Expression in which reaction rate is given in terms of molar conc. of reactants with each term raised to some power which may or may not be same as the stoichiometric coefficient of the reacting species in a balanced chemical equation. Q.7) Define rate constant of a reaction. (1m) Ans: Rate constant is equal to rate of reaction when the product of the molar conc. of reactants is unity. Order of a Reaction Q.8) Define order of a reaction. 1M Ans: Sum of the powers of the concentration of the reactants in the rate equation is called order of reaction. Q.9) Calculate the overall order of a reaction which has the rate expression. 1M Rate= K [A]1/2 [B]3/2 Ans: Order of reaction = 1/2 + 3/2 = 2 Q.10) What is elementary reaction ? (1m) Ans: Reaction taking place in one step is called elementary reaction. Q.11)What are complex reactions?(1m) Ans: Reactions taking place in more than one step are called complex reaction. Q.12) What is SI Unit of rate constant of nth order reaction ? (1m) Ans: (mol)1-n . Ln-1.s-1 Q.13) What is SI unit of rate constant of zero order reaction? (1m) Ans: Mol/L/s Q.14) What is the order of reaction whose unit of rate constant and rate of reaction are same ? (1m) Ans: Zero order. Q.15) Identify the reaction order from the rate constant K=2.3x10-5 mol-1 .L.S-1 (1m) Ans: Comparing the unit of rate constant with general unit Mol-1 .L.S-1 with ( Mol)1-n .Ln-1 .S-1 1-n= -1 n=2 Molecularity of a reaction Q.16) Define molecularity of a reaction . (1 m) Ans: The number of reacting species taking part in an elementary reaction which must colloid simultaneously in order to bring about a chemical reaction is called molecularity of reaction. Q.17) In a complex reaction which step controls the overall rate of reaction and what is it called? (2m) Ans: Slowest step, which is called rate determining step. Q.18) The conversion of molecules X to Y follows second order kinetics .If conc. of X Increased to three times,how will it affect the rate of formation of Y ? (1m) Ans: Increased rate =( Increased conc.)n =32 =9 Rate of formation of Y increases by 9 times Integrated rate equations Q.19) Derive rate constant of zero order reaction (3m) Ans: Consider a zero order reaction R--> P Rate =-d[R] = K[R]o dt = - d[R] = K dt = d[R] = -kdt -------(1)
  • 21. Integrating equation (1) both sides [R]= -kt+I ----------(2) Where “I” is integration constant At t=0 [R]=[R]o where [R]o is initial concentration of reactant. ∴Eqn (2) becomes I=[R]o Substituting I in eqn-------- (2) [R] = -Kt + [R]o -Kt = [R]-[R]o Kt = [R]o-[R] K = [R]o-[R] t Q:20) Derive integrated rate equation for first order reaction? (4m) Ans-Consider a first order reaction. RàP Rate = - d[R] = K[R] dt d[R]= - K[R] dt d[R] = - K. dt. -------(1) [R] Integrating eqn.(1)on both side ln [R] = - Kt + I --------(2) Where “I” is integration constant At t=o [R]=[R]o which called initial Concentration reactant Substituting the values in ln[R]o= I Equation (2) can be written as ln[R] = -Kt + ln[R]o Kt = ln[R]o – ln [R] Kt = ln [R]o [R] Kt =2.303 log[R]o [R] K= 2.303 x log[R]o t [R] Log [R]o Slope = K [R] 2.303. Or o time K= 2.303xSlope Half life of a reaction Q21)Define halfe life of a reaction . (1m) Ans: The time in which the conc.of a reactant is reduced to one half of its initial conc. is called half life of a reaction (t1/2) Q:22) Show that half life of a zero order reaction is directly proportional to initial concentration of reactant from integrated rate equation. OR Derive the relation between half life and rate constant of zero order reaction .(2m). Ans:-Rate constant of zero order reaction is K= [R]o – [R] t At half life t =t ½ & [R] = ½ [R]o .: K= [R]o – ½ [R]o t1/2 K=[R]o 2t½ t ½ =[R]o 2 K OR t ½ ∝ [R]o Q.23) Show that half life of a first order reaction is independent of initial Conc. of reactant from integrated rate equation (2m) Or Derive the relation between half life of a first order reaction and its rate constant . (2m) Ans: Rate constant of first order reaction is K= 2.303 x log [R]o t [R] At half life t=t ½ ,[R]=[R]o 2 .: K = 2.303 x log [R]o t½ [R]o/2 K =2.303 x log 2 t ½ K= 2.303 x0.3010 t½ t½ = 0.693 K K= 2.303 x0.3010 t½ t½ = 0.693 K
  • 22. Q.24)A first order reaction is found to have a rate constant 5.5x10-14 /s .Calculate the half life of the reaction (2m) Soln. : K= 5.5x10-14 /s t½ =? t½ = 0.693 K = 0.693 5.5x10-14 t½ = 1.26x1013 sec Q:25) Show that the time required for 99/. Completion of a first order reaction is twice the time required for the completion of 90% of reaction( 4m) I set : [R]o= 100, [R]=[100-90]=10 t=t90% IIset : [R]o= 100 [R]= [100-99]1 t=t99% To be proved t99%= 2t90% K= 2.303 x log [R]o t [R] Sub. I set values . K= 2.303x log 100 t 90% 10 K = 2.303x log 10 t90% K= 2.303 X 1 - (1) t90% Substituting II set values K=2.303 x log 100 t99% 1 K= 2.303 x 2 --------------(2) t99% Comparing equations (1) & (2) 2.303x 1 = 2.303x2 t90% t99% t99% = 2t90% Pseudo first order reaction Q:26 Define pseudo first order reaction . Give an example. (2m) Ans: Chemical reactions which are not first order but behave as fist order reaction under suitable conditions are called pseudo first order Reactions. Ex: Inversion of cane sugar. C12 H22O11+H2O àC6H12O6 + C6H12 O6 Temperature dependence of the rate of a reaction Q:27)How does rate of reaction vary with temperature? (1m). Ans: Rate of reaction increases with increase of temperature. Q:28) What happens to the rate constant of a reaction when temperature is increased by 10o .? Ans: Rate constant increases nearly by two times. Q.29) Write Arrhenius equation which relates the rate constant , activation energy and temperature . (1m) Ans K= A e-Ea/RT Energy of activation Q.30) Define energy of activation (1m). Ans: The minimum energy required for the reactants to form activated complex is called Activation energy. Q.31) How is activation energy related to rate of reaction? (1m) Ans: Rate of reaction is inversely proportional to activation energy. ie r ∝ 1 Ea Q.32) How is activation energy affected by presence of positive catalyst? (1m) Ans: Activation energy of a reaction decreases in presence of catalyst. Q.33) On increasing 100 K temperature rate of reaction becomes double, explain from the max well Boltzmann distribution curve. (2m) On increasing 100 K temperature, substance Increases the fraction of molecules double,hence rate of reaction doubles. Q:34) How does positive catalyst increases the rate of reaction? (2m) Ans positive catalyst decreases the activation energy by changing the Path of the reaction,which increases the rate of reaction
  • 23. Collision theory of chemical reactions. Q:35) What is effective collision? How is it related to rate of reaction? (2m). Ans. Collision in which molecules colloid with sufficient kinetic energy and proper orientation so as to form products is called effective collision. It is directly proportional to the rate of reaction. Q:36)How is activation energy calculated by plotting graph ln K against 1/T ? (2m) Q:37)Write Arrhenius equation at different Temperature and rate constants. Ans: log K2/K1 = Ea X T2-T1 2.303RT T1 T2 Q:38)The rate constants of a reaction at 500K. and 700K are 0.02s-1 and 0.07s-1 respeetively calculate the activation energy. (3m) Ans: log K2/K1 = Ea X T2-T1 2.303RT T1 T2 log 0.07 = Ea x 700- 500 0.02 2.303x8.314 500x 700 0.544 = Ea x 5.714 x10-4 19.15 Ea= 0.544x19.15 5.714 x10-4 Ea= 18230.8 J = Ea= 18. 2308 KJ. UNIT -5 SURFACE CHEMISTRY A. Short answer questions carrying 1 mark 1. What is adsorption A surface phenomenon wherein there is accumulation of molecules on the surface (than in the bulk) of a solid or a liquid. 2. Why solids in finely divided state are good adsorbent? Solids in finely divided state have large surface area, as surface area increases adsorbing power increases. 3. What is desorption? The process of removing an adsorbed substance from a surface on which it is adsorbed is called desorption. 4. Name the substance used to decolour the solution of raw sugar. Animal charcoal. 5. Name of the phenomenon in which both the adsorption and desorption takes place simultaneously. Sorption 6. Why is adsorption always exothermic? During adsorption there is always decrease in residual forces on the surface, hence adsorption is always exothermic. Or There is decrease in surface energy which appears as heat, hence adsorption is always exothermic. 7. Name catalyst used in the conversion of alcohols into gasoline (petrol) Zeolite ZSM-5 (Zeolite Sieve of molecular porosity-5) 8. Name the colloidal system in which dispersed phase is solid and dispersion medium is liquid Sol 9. Name the dispersed phase in gel Liquid 10. Give an example for oil in water emulsion Milk, Vanishing cream
  • 24. 11. What type of colloidal emulsion is present in butter Water in oil (W/O) 12. What is the dispersion medium in gel? Solid 13. Between Na2SO4 and Na3PO4 which has greater power to coagulate a positively charged colloid? Na3PO4 14. Alum is added to muddy drinking water. Why? Alum is added to muddy drinking water to coagulate 15. What is the dispersed phase in milk? Oil or liquid 16. A liquid is dispersed in a gas. Name the type of colloid obtained. Liquid aerosal 17. Name the instrument designed by Zigmondy. Ultramicroscope 18. Movement of the dispersion medium in an electric field by preventing the movement of colloidal particles by suitable method.Name the phenomenon Electroosmosis 19. The process by which colloidal particles aggregate, become bigger and settle down. Name the phenomenon Coagulation 20.What happens when an electrolyte is added to lyophobic sol? Coagulation or precipitation 21. Name the phenomenon, when an electrolyte having a common ion is added to freshly prepared precipitate? Peptization B. Answer questions carrying 2 marks ADSORPTION 1. What are adsorbate and adsorbent? Give an example. Molecules (substances) that accumulates on the surface is called adsorbate. The material on the surface of which adsorption takes place is called adsorbent. Example: Ni adsorbs H2. Ni is the adsorbate, H2 is the adsorbent 2. Give two examples for adsorption. i) When animal charcoal is added to methylene blue, charcoal adsorbs the dye. ii) Air becomes dry in the presence of silica gel because silica gel adsorbs water molecules on the surface iii) A small pillow of silica gel in a box adsorbs moisture in the box keeps the air dry. (Any two) 3. Give differences between adsorption and absorption. Adsorption Absorption 1. A substance gets concentrated on the surface of a solid or liquid. 2. It increases with increase in surface area. Example: adsorption of water by silica gel. A substance gets uniformly distributed through the bulk of solid or liquid. It remains unaffected by increase in surface area. Example: Absorption of water by anhydrous CaCl2. 4. Of SO2 (critical temperature 630K) and CH4 (critical temperature 190K) which gas will be adsorbed readily on the surface of 1 gram of activated charcoal. Justify the answer. SO2 gas Easily liquefiable gases with higher critical temperature are readily adsorbed as the theVander Waal’s forces are stronger near critical temperature. 5. What is the effect of temperature on physical and chemical adsorption? Physical adsorption decreases with increase in temperature. Chemical adsorption increases with increase intemperature. 6. Mention any two applications of adsorption. i) In the production of high vaccum ii) In gas mask, to adsorb poisonous gases iii) In the separation of noble gases using activated charcoal iv) Removal of colouring matter from solutions v) In adsorption chromatography to analyse a given
  • 25. CATALYSIS 1. What is catalysis? Give an example. A substance that accelerates the rate of a reaction without itself remaining unchanged chemically and quantitatively is a catalyst. The phenomenon is catalysis. E.g.: 2KClO3 2MnO ⎯⎯⎯→2KCl + 3O2 MnO2 is a catalyst. 2. What are promoters and poisons with respect to a catalytic process? Promoters are substance that increases the activity of a catalyst. E.g.: In Haber’s process molybdenum acts as a promoter for iron used as a catalyst. A catalytic poison is one that decreases the efficiency or activity of a catalyst. E.g.: In Haber’s process CO if present in the mixture of H2 and N2, poisons the iron catalyst. 3. What is homogeneous catalysis? Give an example. When reactants and catalyst are in the same phase the process is homogeneous catalysis. E.g.: a) 2SO2(g) + O2(g) ( )gNO ⎯⎯⎯→ 2SO3(g) Here the reactants (SO2 and O2) and catalyst (NO) are all gases. b) Acid hydrolysis of cane sugar is also an example for homogeneous catalysis. Here the reactants sugar solution, water and the catalyst dil. HCl are in the same phase (aqueous solution) C12H22O11(aq) + H2O(l) H+ ⎯⎯→C6H12O6 + C6H12O6 (both are in aq solution) Sucrose glucose fructose 4. What is heterogenous catalysis? Give an example. A catalytic process in which reactants and catalyst are in different phases are known as heterogenous catalysis. E.g.: 1. N2(g) + 3H2(g) (s)Fe ⎯⎯⎯→2NH3 Here the reactants are gases, catalyst iron is a solid 2. Vegetable oil (l) + H2(g) ( )sNi ⎯⎯⎯→Vanaspathi ghee Here reactants and catalyst are in different phases. 5. Write a note on a) activity b) selectivity of solid catalysts. a) Activity: The activity (efficiency) of a solid catalyst depends on how strongly the reactants are chemisorbed on it. It is found that elements (metals) in group 7-9 of the periodic table show greater catalytic activity for hydrogenation reactions. E.g.: 2H2(g) + O2(g) Pt ⎯⎯→2H2O (l) b) Selectivity: For a given set of reactants, different catalyst may yield different products. This is selectivity of a catalyst. E.g.: CO(g) + 3H2(g) Ni ⎯⎯→CH4(g) + H2O(g) CO(g) + H2(g) Cu ⎯⎯→H−CHO Ni is selective to convert water gas to CH4 whereas Cu converts water gas into formaldehyde. In otherwords Ni catalyses the conversion of water gas to CH4 but cannot catalyse to convert water gas to formaldehyde. Catalyst is highly selective in nature i.e a given substance can act as a catalyst only in a particular reaction and not for all the reactions. 6. What is shape selective catalysis? Give an example. A catalytic reaction that depends on pore structure of the catalyst and size of the reactant and product molecules is called shape selective catalysis. E.g.: zeolites. 7. Write a note on zeolites as shape selective catalysts. Zeolites are aluminosilicates with 3D nework of Al-O-Si frame with honey comb like structure. This structure makes them to act as shape selective catalyst depending on pore size in them and on the size of reactant and products. Many zeolites are synthesized for selective catalytic activity. E.g.: 1) Zeolite ZSM-5 (Zeolite Sieve of molecular porosity- 5) converts alcohols into gasoline (petrol) by dehydrating alcohols. 2) Many zeolites are used in petroleum industry in cracking of hydrocarbons and in isomerisation. 8. What are enzyme catalysis or biochemical catalysis? Give an example for enzyme catalysis. Enzymes are proteins, which catalyse large number of reactions that maintain life processes in both plants and animals. Hence they are biochemical catalysts and the phenomenon is called as biochemical catalysis. Inversion of cane sugar in the presence of enzyme invertase into glucose and fructose 9. Give two examples for enzyme-catalysed reaction. a) Conversion of starch into maltose 2(C6H10O5)n (aq) + nH2O (l) diastase enzyme ⎯⎯⎯⎯⎯→nC12H22O11 (aq) Starch maltose b) Urea into ammonia and carbon dioxide NH2CONH2(aq) + H2O (l) urease ⎯⎯⎯→2NH3(g) + CO2(g) c) In human beings enzyme pepsin converts proteins into peptides and pancreatic trypsin enzyme converts proteins into amino acids.