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Honour Chemistry Unit 4: Thermochemistry
and Nuclear Chemistry
Copyrighted by Gabriel Tang B.Ed., B.Sc.
Page 135.
Unit 4: THERMOCHEMISTRY AND NUCLEAR CHEMISTRY
Chapter 6: Thermochemistry
6.1: The Nature of Energy and Types of Energy
Energy (E): - the ability to do work or produce heat.
Different Types of Energy:
1. Radiant Energy: - solar energy from the sun.
2. Thermal Energy: - energy associated with the random motion
of atoms and molecules.
3. Chemical Energy: - sometimes refer to as Chemical Potential
Energy. It is the energy stored in the
chemical bonds, and release during chemical change.
4. Potential Energy: - energy of an object due to its position.
First Law of Thermodynamics: - states that energy cannot be
created or destroyed. It can only be
converted from one form to another. Therefore, energy in the
universe is
a constant.
- also known as the Law of Conservation
of Energy (ΣEinitial = ΣEfinal).
6.2: Energy Changes in Chemical Reactions
Heat (q): - the transfer of energy between two objects (internal
versus surroundings) due to the difference
in temperature.
Work (w): - when force is applied over a displacement in the
same direction (w = F × d).
- work performed can be equated to energy if no
heat is produced (E = w). This is known as the
Work Energy Theorem.
System: - a part of the entire universe as defined by the
problem.
Surrounding: - the part of the universe outside the defined
system.
Open System: - a system where mass and energy can
interchange freely with its surrounding.
Closed System: - a system where only energy can interchange
freely with its surrounding but mass not
allowed to enter or escaped the system.
Isolated System: - a system mass and energy cannot interchange
freely with its surrounding.
Unit 4: Thermochemistry and Nuclear Chemistry
Honour Chemistry
Page 136. Copyrighted by Gabriel Tang B.Ed., B.Sc.
Exothermic Process (ΔE < 0): - when energy flows “out” of the
system into the surrounding.
(Surrounding gets Warmer.)
Endothermic Process (ΔE > 0): - when energy flows into the
system from the surrounding.
(Surrounding gets Colder.)
6.3: Introduction of Thermodynamics
Thermodynamics: - the study of the inter action of heat and
other kinds of energy.
State of a System: - the values of all relevant macroscopic
properties like composition, energy,
temperature, pressure and volume.
State Function: - also refer to as State Property of a system at
its present conditions.
- energy is a state function because of its
independence of pathway, whereas work and heat
are not state properties.
Pathway: - the specific conditions that dictates how energy is
divided as work and heat.
- the total energy transferred (ΔE) is independent of the
pathway, but the amounts of work and
heat involved depends on the pathway.
Po
te
nt
ia
l E
ne
rg
y
Reaction Pathway
Reactant(s)
Product (s)
ΔE < 0
(Δq < 0 when w = 0)
Surrounding
Potential Energy Diagram for Exothermic Process
Energy Output
Po
te
nt
ia
l E
ne
rg
y
Reaction Pathway
Reactant(s)
Product (s)
ΔE > 0
(Δq > 0 when w = 0)
Surrounding
Potential Energy Diagram for Endothermic Process
Energy Input
Honour Chemistry Unit 4: Thermochemistry
and Nuclear Chemistry
Copyrighted by Gabriel Tang B.Ed., B.Sc.
Page 137.
Internal Energy (E): - total energy from work and heat within a
system.
Work as Compression and Expansion
- During expansion on the system, w < 0 because the system is
pushing out and work is done by the
system (energy output to the surrounding).
- During compression on the system, w > 0 because the system
is being pressed by the surround and
work is done on the system (energy input by the surrounding).
w = F × Δd (Pressure = Force per unit of Area,
A
F
P = or F = PA)
w = (PA) × Δd (Substitute PA as Force; A × Δd = Volume – 3
dimensions)
w = −P ΔV (During Expansion V ↑, and w ↓. ∴ Negative is
added to PΔV)
6.4: Enthalpy of Chemical Reactions
Enthalpy (H): - the amount of internal energy at a specific
pressure and volume (H = E + PV).
ΔE = q − PΔV (ΔE = ΔH − PΔV Rearrange formula
for enthalpy)
ΔH − PΔV = q − PΔV (Equate ΔE and simplify by
cancelling −PΔV on both sides)
ΔH = q (Change in Enthalpy is Change in Heat
of a system at constant pressure
and little change in volume.)
ΔE = q + w
ΔE = Change in System’s Internal Energy
q = heat (q > 0 endothermic; q < 0 exothermic)
w = work (w > 0 work done on the system; w < 0 work done by
the system)
w = −P ΔV
(1 L • atm = 101.3 J)
Change in Enthalpy in a Chemical Reaction
ΔH = q = Hproducts − Hreactants
ΔH > 0 Endothermic Reaction
ΔH < 0 Exothermic Reaction
Po
te
nt
ia
l E
ne
rg
y
Reaction Pathway
Reactant(s)
Product (s)
ΔH < 0
(Hproducts < Hreactants)
Potential Energy Diagram for Exothermic
Chemical Reactions / Physical Processes
ΔH = nΔHrxn
ΔH = Change in Enthalpy n = moles
ΔHrxn = Molar Enthalpy of Reaction (kJ/mol)
Po
te
nt
ia
l E
ne
rg
y
Reaction Pathway
Reactant(s)
Product (s)
ΔH > 0
(Hproducts > Hreactants)
Potential Energy Diagram for Endothermic
Chemical Reactions / Physical Processes
Assignment
6.1 to 6.3 pg. 198 #1 to 3, 6 to 11
Unit 4: Thermochemistry and Nuclear Chemistry
Honour Chemistry
Page 138. Copyrighted by Gabriel Tang B.Ed., B.Sc.
Writing ΔH Notations with Chemical Equations / Physical
Process:
a. Endothermic Reactions / Processes
Reactant(s) + Heat → Product(s) OR Reactant(s) →
Product(s) ΔH = +____ kJ
Example: Water is vaporized from its liquid state.
H2O (l) + 40.7 kJ → H2O (g) or H2O (l) → H2O
(g) ΔH = +40.7 kJ
b. Exothermic Reactions / Processes
Reactant(s) → Product(s) + Heat OR Reactant(s) →
Product(s) ΔH = −____ kJ
Example: Methane undergoes combustion at constant pressure.
CH4 (g) + 2 O2 (g) → CO2 (g) + 2 H2O (g) + 802.5 kJ or CH4
(g) + 2 O2 (g) → CO2 (g) + 2 H2O (g) ΔH = −803 kJ
Example 1: It takes 116.2 kJ to form 84.0 L of NO2 (g) from its
elements at 1.00 atm and 25.0°C. Determine
the molar heat of enthalpy for the formation of NO2 (g).
Express the answer in proper ΔH notation.
Example 2: Given that 2 C4H10 (g) + 13 O2 (g) → 8 CO2 (g) +
10 H2O (g) + 5317 kJ, calculate the change in
enthalpy when 28.2 g of butane is burned.
ΔH = 116.2 kJ
V = 84.0 L
P = 1.00 atm
T = 25.0°C = 298.15 K
R = 0.0821 K mol L atm ••
n = ? ΔHrxn = ?
n =
RT
PV
=
( )
( ) )K 15.298(0.0821
L 0.84)mta 00.1(
K mol
L mta
•
•
= 3.431636791 mol
ΔH = nΔHrxn ΔHrxn =
n
HΔ
=
mol 13.43163679
kJ 2.116
ΔHrxn = 33.9 kJ/mol
N2 (g) + 2 O2 (g) → 2 NO2 (g) ΔH = 67.8 kJ (2 mol of NO2
in Eq)
or ½ N2 (g) + O2 (g) → NO2 (g) ΔH = 33.9 kJ
ΔHrxn =
mol 2
kJ 5317−
= −2658.5 kJ/mol
n =
/molg 58.14
g 2.28
= 0.4850361197 mol C4H10
ΔH = ?
(There are 2 moles of C4H10 in the chemical equation
for 5317 kJ.)
ΔH = nΔHrxn = (0. 4850361197 mol)(−2658.5 kJ/mol)
ΔH = −1.29 × 10 3 kJ = −1.29 MJ (1 MJ = 1000 kJ)
Assignment
6.4 pg. 199 #21 to 28
Honour Chemistry Unit 4: Thermochemistry
and Nuclear Chemistry
Copyrighted by Gabriel Tang B.Ed., B.Sc.
Page 139.
6.5 & 12.6: Calorimetry and Phase Changes
Energy involved in Physical Change (Temperature or Phase
Change):
Heating Curve: - a graph of temeparture versus time as a
substance is heated from a solid phase to a
gaseous phase.
- when a substance is undergoing a phase change, its
temperature remains at a constant
(the plateau on the heating curve) until all molecules aquired
enough energy to
overcome the intermoelcular forces nexessary. This is
commonly refered to as the
potential change of a subsatnce.
- when a substance is undergoing temperature change within a
particular phase, it is
refered to as kinetic change (because temeperature is also
refered to as the average
kinetic energy of a substance).
Molar Enthalpy of Fusion (ΔHfus): - the amount of heat needed
to melt one mole of substance from solid
to liquid at its melting point (in kJ/mol).
Molar Enthalpy of Vaporization (ΔHvap): - the amount of heat
needed to evaporate one mole of substance
from liquid to gas at its boiling point (in kJ/mol)
Molar Enthalpy of Sublimation (ΔHsub): - the amount of heat
needed to sublime one mole of substance
from solid to gas (in kJ/mol).
- because sublimation involves two phase change in one
step, the
molar enthalpy of sublimation is the sum or the molar
ethalphies of fusion and vapourization.
0°C
100°C
Time
T
em
pe
ra
tu
re
Heating Curve of Water
Water
Ice
Steam
Phase Change
Liquid / Gas
at Boiling Point
Phase Change
Solid / Liquid
at Melting Point
ΔHsub = ΔHfus + ΔHvap
Unit 4: Thermochemistry and Nuclear Chemistry
Honour Chemistry
Page 140. Copyrighted by Gabriel Tang B.Ed., B.Sc.
Specific Heat (s): - the amount of heat (J or kJ) needed to
change (1 g or 1 kg) of substance by 1°C or 1 K.
- the stronger the intermolecular forces, the higher
the specific heat capacity.
Heat Capacity (C): - the amount of heat (J or kJ) needed to a
given amount of substance by 1°C or 1 K.
- usually used in a calorimeter (see section 6.5).
Physical Thermodynamic Properties of Some Common
Substances (at 1.00 atm and 298.15 K)
Substance
Melting
Point (°C)
Boiling
Point (°C)
Specific Heat
[kJ/(kg • °C)]
ΔHfus
(kJ/mol)
ΔHvap
(kJ/mol)
Ice H2O(s) 0 ---- 2.03 6.01 ----
Water H2O(l) ---- 100 4.184 ---- 40.79
Steam H2O(g) ---- ---- 1.99 ---- ----
Ammonia NH3 (g) −77.73 −33.34 2.06 5.66 23.33
Methanol CH3OH (l) −98 64.6 2.53 3.22 35.21
Ethanol C2H5OH (l) −114.1 78.3 2.46 7.61 39.3
Aluminum Al (s) 660 2519 0.900 10.79 294
Carbon (graphite) C (s) 3338 4489 0.720 117 ----
Copper Cu (s) 1085 2562 0.385 12.93 300.4
Iron Fe (s) 1538 2861 0.444 13.81 340
Mercury Hg (l) −39 357 0.139 23.4 59.0
Example 1: What is the change in enthalpy involved when 36.04
g of water boils from liquid to gas at 100°C?
Physical Potential Change
q = nΔHfus q = nΔHvap q = nΔHsub
q = Heat Change (J or kJ) n = moles
ΔHfus = Molar Enthalpy of Fusion (kJ/mol) ΔHvap = Molar
Enthalpy of Vaporization (kJ/mol)
ΔHsub = Molar Enthalpy of Sublimation (kJ/mol) ΔHsub =
ΔHfus + ΔHvap
Physical Kinetic Change
q = msΔT q = CΔT C = ms
q = Heat Change (J or kJ) m = mass (g or kg) ΔT = Change in
Temperature (in °C or K)
s = Specific Heat [J/(g • °C) or kJ/(kg • °C) or J/(g • K) or
kJ/(kg • K)]
C = Heat Capacity [J/°C or kJ/°C or J/K or kJ/K)]
Since this question involves phase change (vaporization) only,
we need to use q = nΔHvap.
q = nΔHvap
q = (2.000 mol)(40.79 kJ/mol)
q = 81.58 kJ
ΔHvap = 40.79 kJ/mol
n =
/molg 18.02
g 04.36
= 2.000 mol H2O
q = ?
Honour Chemistry Unit 4: Thermochemistry
and Nuclear Chemistry
Copyrighted by Gabriel Tang B.Ed., B.Sc.
Page 141.
Example 2: How much energy is needed to heat 100.0 g of water
from 20.0°C to 80.0°C?
Example 3: What is the total energy needed to sublime 40.0 g of
solid ammonia to gaseous ammonia?
(ΔHfus = 5.66 kJ/mol; ΔHvap = 23.33 kJ/mol)
Example 4: What is the total energy needed to heat 18.02 g of
water at 80.0°C to steam at 115°C?
Molar Enthalpy of
Solution
(ΔHsoln): - the amount of heat needed to dissolve 1 mole of
substance.
- it can easily be found using a constant-pressure calorimeter.
- for molecular solutes, it involves overcoming the
intermolecular
forces of the solute and solvent. This is followed by the
hydration
process as the solute and solvent molecules come together.
- for ionic solutes, it first involves overcoming the lattice
energy.
Finally, the ions and solvent molecules come together during
hydration process.
Since this question involves temperature (kinetic) change only,
we need to use q = mcΔT.
q = msΔT
q = (100.0 g)(4.184 J/(g • °C))(60.0°C) = 25104 J
q = 2.51 × 104 J = 25.1 kJ
s = 4.184 J/(g • °C)
m = 100.0 g H2O
ΔT = 80.0°C − 20.0°C = 60.0°C
q = ?
For this question, we have two kinetic changes (water and
steam) and one phase change (vaporization).
qtotal = mswΔTw + nΔHvap + mssΔTs
(water) (vaporization) (steam)
qtotal = (0.01802 kg)(4.184 kJ/(kg • °C))(20.0°C) +
(1.000 mol)(40.79 kJ/mol) +
(0.01802 kg)(1.99 kJ/(kg • °C))(15°C)
qtotal = 1.5079136 kJ + 40.79 kJ + 0.537897 kJ
qtotal = 42.8 kJ
m = 18.02 g H2O = 0.01802 kg H2O
n =
/molg 18.02
g 02.18
= 1.000 mol H2O
swater = 4.184 kJ/(kg • °C)
ΔTwater = 100.0°C − 80.0°C = 20.0°C
ΔHvap = 40.79 kJ/mol
ssteam = 1.99 kJ/(kg • °C)
ΔTsteam = 115°C − 100°C = 15°C
qtotal = ?
Since this question involves phase change (sublimation) only,
we need to use q = nΔHsub.
q = nΔHsub
q = (2.34741784 mol)(28.99 kJ/mol)
q = 68.1 kJ
ΔHsub = ΔHfus + ΔHvap
ΔHsub = 5.66 kJ/mol + 23.33 kJ/mol
ΔHsub = 28.99 kJ/mol
n =
/molg 17.04
g 0.40
= 2.34741784 mol NH3
q = ?
Enthalpy of

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Honour Chemistry Unit 4 Thermoc.docx

  • 1. Honour Chemistry Unit 4: Thermochemistry and Nuclear Chemistry Copyrighted by Gabriel Tang B.Ed., B.Sc. Page 135. Unit 4: THERMOCHEMISTRY AND NUCLEAR CHEMISTRY Chapter 6: Thermochemistry 6.1: The Nature of Energy and Types of Energy Energy (E): - the ability to do work or produce heat. Different Types of Energy: 1. Radiant Energy: - solar energy from the sun. 2. Thermal Energy: - energy associated with the random motion of atoms and molecules. 3. Chemical Energy: - sometimes refer to as Chemical Potential Energy. It is the energy stored in the chemical bonds, and release during chemical change. 4. Potential Energy: - energy of an object due to its position. First Law of Thermodynamics: - states that energy cannot be created or destroyed. It can only be converted from one form to another. Therefore, energy in the
  • 2. universe is a constant. - also known as the Law of Conservation of Energy (ΣEinitial = ΣEfinal). 6.2: Energy Changes in Chemical Reactions Heat (q): - the transfer of energy between two objects (internal versus surroundings) due to the difference in temperature. Work (w): - when force is applied over a displacement in the same direction (w = F × d). - work performed can be equated to energy if no heat is produced (E = w). This is known as the Work Energy Theorem. System: - a part of the entire universe as defined by the problem. Surrounding: - the part of the universe outside the defined system. Open System: - a system where mass and energy can interchange freely with its surrounding. Closed System: - a system where only energy can interchange freely with its surrounding but mass not allowed to enter or escaped the system.
  • 3. Isolated System: - a system mass and energy cannot interchange freely with its surrounding. Unit 4: Thermochemistry and Nuclear Chemistry Honour Chemistry Page 136. Copyrighted by Gabriel Tang B.Ed., B.Sc. Exothermic Process (ΔE < 0): - when energy flows “out” of the system into the surrounding. (Surrounding gets Warmer.) Endothermic Process (ΔE > 0): - when energy flows into the system from the surrounding. (Surrounding gets Colder.)
  • 4. 6.3: Introduction of Thermodynamics Thermodynamics: - the study of the inter action of heat and other kinds of energy. State of a System: - the values of all relevant macroscopic properties like composition, energy, temperature, pressure and volume. State Function: - also refer to as State Property of a system at its present conditions. - energy is a state function because of its independence of pathway, whereas work and heat are not state properties. Pathway: - the specific conditions that dictates how energy is divided as work and heat. - the total energy transferred (ΔE) is independent of the pathway, but the amounts of work and heat involved depends on the pathway.
  • 5. Po te nt ia l E ne rg y Reaction Pathway Reactant(s) Product (s) ΔE < 0 (Δq < 0 when w = 0) Surrounding Potential Energy Diagram for Exothermic Process Energy Output Po te nt ia l E ne
  • 6. rg y Reaction Pathway Reactant(s) Product (s) ΔE > 0 (Δq > 0 when w = 0) Surrounding Potential Energy Diagram for Endothermic Process Energy Input Honour Chemistry Unit 4: Thermochemistry and Nuclear Chemistry Copyrighted by Gabriel Tang B.Ed., B.Sc. Page 137. Internal Energy (E): - total energy from work and heat within a system.
  • 7. Work as Compression and Expansion - During expansion on the system, w < 0 because the system is pushing out and work is done by the system (energy output to the surrounding). - During compression on the system, w > 0 because the system is being pressed by the surround and work is done on the system (energy input by the surrounding). w = F × Δd (Pressure = Force per unit of Area, A F P = or F = PA) w = (PA) × Δd (Substitute PA as Force; A × Δd = Volume – 3 dimensions) w = −P ΔV (During Expansion V ↑, and w ↓. ∴ Negative is added to PΔV) 6.4: Enthalpy of Chemical Reactions Enthalpy (H): - the amount of internal energy at a specific pressure and volume (H = E + PV).
  • 8. ΔE = q − PΔV (ΔE = ΔH − PΔV Rearrange formula for enthalpy) ΔH − PΔV = q − PΔV (Equate ΔE and simplify by cancelling −PΔV on both sides) ΔH = q (Change in Enthalpy is Change in Heat of a system at constant pressure and little change in volume.) ΔE = q + w ΔE = Change in System’s Internal Energy q = heat (q > 0 endothermic; q < 0 exothermic) w = work (w > 0 work done on the system; w < 0 work done by the system) w = −P ΔV (1 L • atm = 101.3 J) Change in Enthalpy in a Chemical Reaction ΔH = q = Hproducts − Hreactants ΔH > 0 Endothermic Reaction ΔH < 0 Exothermic Reaction Po te nt ia
  • 9. l E ne rg y Reaction Pathway Reactant(s) Product (s) ΔH < 0 (Hproducts < Hreactants) Potential Energy Diagram for Exothermic Chemical Reactions / Physical Processes ΔH = nΔHrxn ΔH = Change in Enthalpy n = moles ΔHrxn = Molar Enthalpy of Reaction (kJ/mol) Po te nt ia l E ne rg y
  • 10. Reaction Pathway Reactant(s) Product (s) ΔH > 0 (Hproducts > Hreactants) Potential Energy Diagram for Endothermic Chemical Reactions / Physical Processes Assignment 6.1 to 6.3 pg. 198 #1 to 3, 6 to 11 Unit 4: Thermochemistry and Nuclear Chemistry Honour Chemistry Page 138. Copyrighted by Gabriel Tang B.Ed., B.Sc. Writing ΔH Notations with Chemical Equations / Physical Process: a. Endothermic Reactions / Processes Reactant(s) + Heat → Product(s) OR Reactant(s) → Product(s) ΔH = +____ kJ Example: Water is vaporized from its liquid state.
  • 11. H2O (l) + 40.7 kJ → H2O (g) or H2O (l) → H2O (g) ΔH = +40.7 kJ b. Exothermic Reactions / Processes Reactant(s) → Product(s) + Heat OR Reactant(s) → Product(s) ΔH = −____ kJ Example: Methane undergoes combustion at constant pressure. CH4 (g) + 2 O2 (g) → CO2 (g) + 2 H2O (g) + 802.5 kJ or CH4 (g) + 2 O2 (g) → CO2 (g) + 2 H2O (g) ΔH = −803 kJ Example 1: It takes 116.2 kJ to form 84.0 L of NO2 (g) from its elements at 1.00 atm and 25.0°C. Determine the molar heat of enthalpy for the formation of NO2 (g). Express the answer in proper ΔH notation. Example 2: Given that 2 C4H10 (g) + 13 O2 (g) → 8 CO2 (g) + 10 H2O (g) + 5317 kJ, calculate the change in enthalpy when 28.2 g of butane is burned.
  • 12. ΔH = 116.2 kJ V = 84.0 L P = 1.00 atm T = 25.0°C = 298.15 K R = 0.0821 K mol L atm •• n = ? ΔHrxn = ? n = RT PV = ( ) ( ) )K 15.298(0.0821 L 0.84)mta 00.1( K mol L mta •
  • 13. • = 3.431636791 mol ΔH = nΔHrxn ΔHrxn = n HΔ = mol 13.43163679 kJ 2.116 ΔHrxn = 33.9 kJ/mol N2 (g) + 2 O2 (g) → 2 NO2 (g) ΔH = 67.8 kJ (2 mol of NO2 in Eq) or ½ N2 (g) + O2 (g) → NO2 (g) ΔH = 33.9 kJ ΔHrxn = mol 2 kJ 5317− = −2658.5 kJ/mol n = /molg 58.14 g 2.28 = 0.4850361197 mol C4H10 ΔH = ? (There are 2 moles of C4H10 in the chemical equation for 5317 kJ.)
  • 14. ΔH = nΔHrxn = (0. 4850361197 mol)(−2658.5 kJ/mol) ΔH = −1.29 × 10 3 kJ = −1.29 MJ (1 MJ = 1000 kJ) Assignment 6.4 pg. 199 #21 to 28 Honour Chemistry Unit 4: Thermochemistry and Nuclear Chemistry Copyrighted by Gabriel Tang B.Ed., B.Sc. Page 139. 6.5 & 12.6: Calorimetry and Phase Changes Energy involved in Physical Change (Temperature or Phase Change): Heating Curve: - a graph of temeparture versus time as a substance is heated from a solid phase to a gaseous phase. - when a substance is undergoing a phase change, its temperature remains at a constant (the plateau on the heating curve) until all molecules aquired enough energy to overcome the intermoelcular forces nexessary. This is commonly refered to as the potential change of a subsatnce. - when a substance is undergoing temperature change within a
  • 15. particular phase, it is refered to as kinetic change (because temeperature is also refered to as the average kinetic energy of a substance). Molar Enthalpy of Fusion (ΔHfus): - the amount of heat needed to melt one mole of substance from solid to liquid at its melting point (in kJ/mol). Molar Enthalpy of Vaporization (ΔHvap): - the amount of heat needed to evaporate one mole of substance from liquid to gas at its boiling point (in kJ/mol) Molar Enthalpy of Sublimation (ΔHsub): - the amount of heat needed to sublime one mole of substance
  • 16. from solid to gas (in kJ/mol). - because sublimation involves two phase change in one step, the molar enthalpy of sublimation is the sum or the molar ethalphies of fusion and vapourization. 0°C 100°C Time T em pe ra tu re Heating Curve of Water Water Ice Steam Phase Change Liquid / Gas
  • 17. at Boiling Point Phase Change Solid / Liquid at Melting Point ΔHsub = ΔHfus + ΔHvap Unit 4: Thermochemistry and Nuclear Chemistry Honour Chemistry Page 140. Copyrighted by Gabriel Tang B.Ed., B.Sc. Specific Heat (s): - the amount of heat (J or kJ) needed to change (1 g or 1 kg) of substance by 1°C or 1 K. - the stronger the intermolecular forces, the higher the specific heat capacity. Heat Capacity (C): - the amount of heat (J or kJ) needed to a given amount of substance by 1°C or 1 K. - usually used in a calorimeter (see section 6.5).
  • 18. Physical Thermodynamic Properties of Some Common Substances (at 1.00 atm and 298.15 K) Substance Melting Point (°C) Boiling Point (°C) Specific Heat [kJ/(kg • °C)] ΔHfus (kJ/mol) ΔHvap (kJ/mol) Ice H2O(s) 0 ---- 2.03 6.01 ---- Water H2O(l) ---- 100 4.184 ---- 40.79 Steam H2O(g) ---- ---- 1.99 ---- ---- Ammonia NH3 (g) −77.73 −33.34 2.06 5.66 23.33 Methanol CH3OH (l) −98 64.6 2.53 3.22 35.21 Ethanol C2H5OH (l) −114.1 78.3 2.46 7.61 39.3 Aluminum Al (s) 660 2519 0.900 10.79 294 Carbon (graphite) C (s) 3338 4489 0.720 117 ----
  • 19. Copper Cu (s) 1085 2562 0.385 12.93 300.4 Iron Fe (s) 1538 2861 0.444 13.81 340 Mercury Hg (l) −39 357 0.139 23.4 59.0 Example 1: What is the change in enthalpy involved when 36.04 g of water boils from liquid to gas at 100°C? Physical Potential Change q = nΔHfus q = nΔHvap q = nΔHsub q = Heat Change (J or kJ) n = moles ΔHfus = Molar Enthalpy of Fusion (kJ/mol) ΔHvap = Molar Enthalpy of Vaporization (kJ/mol) ΔHsub = Molar Enthalpy of Sublimation (kJ/mol) ΔHsub = ΔHfus + ΔHvap Physical Kinetic Change q = msΔT q = CΔT C = ms q = Heat Change (J or kJ) m = mass (g or kg) ΔT = Change in Temperature (in °C or K) s = Specific Heat [J/(g • °C) or kJ/(kg • °C) or J/(g • K) or kJ/(kg • K)]
  • 20. C = Heat Capacity [J/°C or kJ/°C or J/K or kJ/K)] Since this question involves phase change (vaporization) only, we need to use q = nΔHvap. q = nΔHvap q = (2.000 mol)(40.79 kJ/mol) q = 81.58 kJ ΔHvap = 40.79 kJ/mol n = /molg 18.02 g 04.36 = 2.000 mol H2O q = ? Honour Chemistry Unit 4: Thermochemistry and Nuclear Chemistry Copyrighted by Gabriel Tang B.Ed., B.Sc. Page 141. Example 2: How much energy is needed to heat 100.0 g of water from 20.0°C to 80.0°C?
  • 21. Example 3: What is the total energy needed to sublime 40.0 g of solid ammonia to gaseous ammonia? (ΔHfus = 5.66 kJ/mol; ΔHvap = 23.33 kJ/mol) Example 4: What is the total energy needed to heat 18.02 g of water at 80.0°C to steam at 115°C? Molar Enthalpy of
  • 22. Solution (ΔHsoln): - the amount of heat needed to dissolve 1 mole of substance. - it can easily be found using a constant-pressure calorimeter. - for molecular solutes, it involves overcoming the intermolecular forces of the solute and solvent. This is followed by the hydration process as the solute and solvent molecules come together. - for ionic solutes, it first involves overcoming the lattice energy. Finally, the ions and solvent molecules come together during hydration process. Since this question involves temperature (kinetic) change only, we need to use q = mcΔT.
  • 23. q = msΔT q = (100.0 g)(4.184 J/(g • °C))(60.0°C) = 25104 J q = 2.51 × 104 J = 25.1 kJ s = 4.184 J/(g • °C) m = 100.0 g H2O ΔT = 80.0°C − 20.0°C = 60.0°C q = ? For this question, we have two kinetic changes (water and steam) and one phase change (vaporization). qtotal = mswΔTw + nΔHvap + mssΔTs (water) (vaporization) (steam) qtotal = (0.01802 kg)(4.184 kJ/(kg • °C))(20.0°C) + (1.000 mol)(40.79 kJ/mol) + (0.01802 kg)(1.99 kJ/(kg • °C))(15°C) qtotal = 1.5079136 kJ + 40.79 kJ + 0.537897 kJ
  • 24. qtotal = 42.8 kJ m = 18.02 g H2O = 0.01802 kg H2O n = /molg 18.02 g 02.18 = 1.000 mol H2O swater = 4.184 kJ/(kg • °C) ΔTwater = 100.0°C − 80.0°C = 20.0°C ΔHvap = 40.79 kJ/mol ssteam = 1.99 kJ/(kg • °C) ΔTsteam = 115°C − 100°C = 15°C qtotal = ? Since this question involves phase change (sublimation) only, we need to use q = nΔHsub. q = nΔHsub q = (2.34741784 mol)(28.99 kJ/mol)
  • 25. q = 68.1 kJ ΔHsub = ΔHfus + ΔHvap ΔHsub = 5.66 kJ/mol + 23.33 kJ/mol ΔHsub = 28.99 kJ/mol n = /molg 17.04 g 0.40 = 2.34741784 mol NH3 q = ? Enthalpy of