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SOLUTIONS
Mixtures – a review
• Mixture: a combination of two or more
substances that do not combine
chemically, but remain the same
individual substances; can be separated
by physical means.
• Two types:
– Heterogeneous
– Homogeneous
Heterogeneous Mixture
• “Hetero” means “different”
• Consists of visibly different substances or
phases (solid, liquid, gas)
• Can be separated by filtering
• Example:
Homogeneous Mixture
• “Homo” means the same
• has the same uniform appearance and
composition throughout; maintain one phase
(solid, liquid, gas)
• Commonly referred to as solutions
• Example:
Salt Water
IDENTIFY WHAT TYPE OF MIXTURE
Heterogeneous or Homogeneous
1. Pizza
2. Sandwich
3. Tea
4. Salad
5. Fruit juice
6. Oil and water
7. Wine
8. Air
9. Paella
10. Salt and pepper
11. Chocolate
12. ice cubes in a drink
13. Coffee
14. Vinegar
15. Concrete
Separating mixtures
• There are many ways to separate
mixtures into their components.
distillation
Magnetic
separation
filtering
chromatography
Solution
• Solution: a mixture of two or more substances
that is identical throughout (homogeneous)
• can be physically separated
• composed of solutes and solvents
the substance being dissolved
the substance that dissolves the solute
Iced Tea Mix
(solute)
Water
(solvent)
Iced Tea
(solution)
Salt water is
considered a
solution. How can it
be physically
separated?
Solution
• The solvent is the largest part of the solution
and the solute is the smallest part of the
solution
S O L V E N T
S O L U T E
Types of Solutions
Gaseous solutions – air = Oxygen + Nitrogen
Liquid solutions – drinks = mix + water
Solid solutions – alloys = steel, brass, etc
Concentration
• the amount of solute dissolved in a
solvent at a given temperature
•described as dilute if it has
a low concentration of solute
dissolved
•described as concentrated
if it has a high concentration
of solute dissolved
Concentration
•Unsaturated - has a less than the
maximum concentration of solute
dissolved
•Saturated - has the maximum
concentration of solute dissolved
(can see solid in bottom of
solution)
•Supersaturated -contains more
dissolved solute than normally
possible (usually requires an
increase in temperature followed
by cooling)
Solubility
• the amount of solute that
dissolves in a certain amount of a
solvent at a given temperature
and pressure to produce a
saturated solution
Conductivity in Solutions
• Conductivity is a measure of water’s
ability to conduct electrical current.
Measurements of conductivity provide a
general indication of water quality.
Electrolytes
What are electrolytes?
• Electrolytes are substances that become ions in
solution and acquire the capacity to conduct
electricity.
• Non electrolyte is a substance that does not
dissociate into ions and so in solution it is a
nonconductor of electricity.
• Tap water conducts electricity:
• You should avoid water when you are using
electricity. Unlike distilled water that does
not conduct enough electricity to light a bulb
in the conductivity apparatus tap water
contains various ions from dissolved minerals.
Water sources like water from a well has
more concentration of salts than the surface
water such as lakes and rivers.
• While swimming in the pool, get out of
the pool if a thunderstorm strikes.
Chlorinated water conducts electricity.
Factors affecting solubility of solids
Temperaturee
increased temperature causes
solids to dissolve faster
Shaking
Note: Increasing the amount of solute
DOES NOT increase the rate of dissolving
Shaking (agitation) causes
solids to dissolve faster
Smaller particles dissolve
Faster because they have
more surface area
Particle Sizee
Polarity and Dissolving
• Chemists use the saying
“like dissolves like”:
➢Polar solutes tend to
dissolve in polar
solvents.
➢Nonpolar solutes tend to
dissolve in nonpolar
solvents.
Oil is nonpolar while water is
polar. They are immiscible.
• Miscible liquids can easily dissolve in one
another.
• Immiscible liquids are not soluble in
each other.
Chemistry-Borders
• The amount of solute in a
solution can be expressed in
several ways. These includes
percentage by mass, volume, or
mass- volume, mole fraction,
molality, molarity, and parts per
million, among others
PERCENT BY MASS, BY VOLUME, AND BY
MASS- VOLUME
• Percent by mass (or percent by weight,
%w/w) expresses the mass of solute per 100 g
solution. Mass of solution is equal to the mass
of solute plus the mass of solvent. The formula
for percent by mass is:
Chemistry-Borders IPC-Solutions-Borders
Sample Problem 1:
If 28.5 g of calcium hydroxide Ca (OH)2 is
dissolved in enough water to make 185 g of
solution, what is the percent by mass of Ca
(OH)2 in the solution?
Solution:
Sample Problem 2:
If mass of solution = 25.0g
sugar + 100.0g water = 125.0
g, What is its percent by
mass?
Sample Problem 3:
A saline solution with a mass of 355 g has
36.5 g of NaCl dissolved in it. What is the
mass/mass percent concentration of the
solution?
We can substitute the quantities given in the
equation for mass/mass percent:
If the solution involves a solute and a
solvent that are both liquids, the
percent by volume (%v/v) is used
instead of by mass with the following
formula:
Sample problem#1
Chemistry-Borders IPC-Solutions-Borders
Sample Problem #2
What is the % volume of NaOH if 20 ml
of NaOH are added to 300 ml of water?
Percent volume = volume of part (solute) x 100
volume of whole (solution)
% volume = 20 ml x 100
(20 ml + 300 ml)
% volume = (20 / 320) x 100
= 6.25% solution
Sample Problem 3:
A wine contains 12% alcohol by volume.
Calculate the volume (in mL) of alcohol in 350
mL of the wine.
Solution: % by volume =
volume solute in mL
volume solution in mL
× 100
volume solute in mL =
% by volume 𝑥 volume solution in mL
100
Percent by mass- volume (or percent by weight- volume, %
w/v) of a solution is given by:
• A mole is the SI unit of number of particles and
can be used as an expression of the molecular
weight of a substance.
Units of Concentration
The formula weight of an
element is expressed as
grams/mole
• The molar mass of a compound can be
calculated by adding the molar mass of the
individual elements.
Units of Concentration
22.99 + 35.45 = 58.44 g/mol
MOLE FRACTION
Mole fraction is the ratio of the number of
moles of one component to the total number of
moles in a solution. It is represented by a capital
letter X.
Sample problem 1:
Calculate the mole fraction of sulfuric
acid (H2SO4) in 8% (% w/w) aqueous H2SO4
solution. (molar masses: H2SO4 98 g/ mol;
H2O = 18 g/ mol)
Chemistry-Borders IPC-Solutions-Borders
MOLE FRACTION
1. Calculate the mole fraction of each
component of a solution containing 65 g of
ethanol 𝐶2𝐻6O in 350 g of water.
2. A solution is made by dissolving 1.25g
𝑁𝑎2S𝑂4 in 65.0g water. Calculate the mole of
fraction of the solute and the solvent.
Molality and
Molarity
mol of solute
kg of solvent
m =
Molality (m)
Because both moles and mass do not
change with temperature, molality
(unlike molarity) is not temperature
dependent.
•Molality is define as the
number of moles of solute per
kilogram of solvent. It can be
mathematically expressed as
molality =
moles of solute
mass of solvent (in kg)
mol of solute
L of solution
M =
Molarity (M)
• Because volume is temperature
dependent, molarity can change
with temperature.
Molarity
• Molarity is the concentration of a
solution expressed in moles of solute
per Liter of solution.
• Molarity is a conversion factor for
calculations
Molarity (M) = moles of solute
Liters of solution
Example#1 What is the molarity of a
solution of NaOH if there are 4 moles of
NaOH dissolved water to make 1 liter
of solution?
Chemistry-Borders IPC-Solutions-Borders
4 moles = 4 M
1 liter
Molarity
M = mol (solute)
L (solution)
• Example 2: What is the molarity of a solution
that has 2.3 moles of sodium chloride in 0.45
liters of solution?
2.3 moles NaCl = 5.1M NaCl
0.45 L
Molarity Problems
What is the molarity of a solution of NaOH if
there are 4 moles of NaOH dissolved
water to make 2 liters of solution?
4 moles = 2 M
2 liter
Molarity Problems
What is the molarity of a solution of NaOH if
there are 2 moles of NaOH dissolved
water to make 6 liters of solution?
2 moles = .33 M
6 liters
Molarity Problems
What is the molarity of a solution of NaOH if
there are 2 moles of NaOH dissolved
water to make .5 liters of solution?
2 moles = 4 M
.5 liters
Molarity Problems
What is the molarity of a solution of NaOH if
there are 40 grams of NaOH dissolved
water to make 1 liters of solution?
First, convert grams to moles:
Na = 23 g/mol
O = 16 g/mol so 40 g = 1 mole
H = 1 g/mol
40 g/mole GFM
Molarity
M = mol (solute)
L (solution)
• Example 2: How many moles of KNO3 are needed
to make 450. mL of 1.5 molar solution?
450. mL 1L 1.5 mol KNO3
1 1000mL 1L
= .675 moles KNO3
Molarity
M = mol (solute)
L (solution)
• Example 3: How many grams of NaCl are needed
to make 3.0 L of 1.5 M solution?
3.0 L 1.5 mol NaCl 58.44 g NaCl
1 1 L 1 mol NaCl
= 260 g NaCl
Molarity
M = mol (solute)
L (solution)
• Example 4: How many L of 4.0 M solution can be
made with 132g of NaCl ?
132 g NaCl 1 mol NaCl 1 L
1 58.44 g NaCl 4.0 mol NaCl
= .565 L
Solution Stoichiometry
Chemistry-Borders IPC-Solutions-Borders
reactants products
Solution Stoichiometry
• When we previously did stoichiometry
for a reaction to determine theoretical
yield, we only worked with GRAMS and
MOLES
• Ex/ How many MOLES of HCl are
required to react with 13 GRAMS of
zinc?
Zn + 2 HCl → ZnCl2 + H2
Solution Stoichiometry
• But we may be given something OTHER than
grams and moles
• We can use stoichiometry to solve for ANY
unit. We just need to make sure units cancel
out and we end up with the unit we are trying
to solve for!
• The mole ratio using coefficients from the
balanced chemical equation is the key to
switching between compounds
Solution Stoichiometry
Ex/ How many LITERS of 12 M HCl are
required to react with 13.0 GRAMS of zinc?
Zn + 2 HCl → ZnCl2 + H2
13.0g Zn 1 mole Zn 2 mol HCl 1L HCl
1 65.38g Zn 1 mol Zn 12 mol HCl
Remember – Molarity (M) is a conversion Factor
= 0.0331 L HCl
Solution Stoichiometry
• Ex/ How many grams of NaOH would be
required to react with 1.50 L of 3.75M
sulfuric acid?
H2SO4 + NaOH → Na2SO4 + H2O
1.50L 1 H2SO4 3.75 mole H2SO4 2 mol NaOH 40.00g NaOH
1 1 L H2SO4 1 mole H2SO4 1 mol NaOH
= 450. g NaOH

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LESSON-2.-CONCENTRATION-OF-SOLUTIONS.pdf

  • 2. Mixtures – a review • Mixture: a combination of two or more substances that do not combine chemically, but remain the same individual substances; can be separated by physical means. • Two types: – Heterogeneous – Homogeneous
  • 3. Heterogeneous Mixture • “Hetero” means “different” • Consists of visibly different substances or phases (solid, liquid, gas) • Can be separated by filtering • Example:
  • 4. Homogeneous Mixture • “Homo” means the same • has the same uniform appearance and composition throughout; maintain one phase (solid, liquid, gas) • Commonly referred to as solutions • Example: Salt Water
  • 5. IDENTIFY WHAT TYPE OF MIXTURE Heterogeneous or Homogeneous 1. Pizza 2. Sandwich 3. Tea 4. Salad 5. Fruit juice 6. Oil and water 7. Wine 8. Air 9. Paella 10. Salt and pepper 11. Chocolate 12. ice cubes in a drink 13. Coffee 14. Vinegar 15. Concrete
  • 6.
  • 7. Separating mixtures • There are many ways to separate mixtures into their components. distillation Magnetic separation filtering chromatography
  • 8. Solution • Solution: a mixture of two or more substances that is identical throughout (homogeneous) • can be physically separated • composed of solutes and solvents the substance being dissolved the substance that dissolves the solute Iced Tea Mix (solute) Water (solvent) Iced Tea (solution) Salt water is considered a solution. How can it be physically separated?
  • 9. Solution • The solvent is the largest part of the solution and the solute is the smallest part of the solution S O L V E N T S O L U T E
  • 10. Types of Solutions Gaseous solutions – air = Oxygen + Nitrogen Liquid solutions – drinks = mix + water Solid solutions – alloys = steel, brass, etc
  • 11. Concentration • the amount of solute dissolved in a solvent at a given temperature •described as dilute if it has a low concentration of solute dissolved •described as concentrated if it has a high concentration of solute dissolved
  • 12.
  • 13. Concentration •Unsaturated - has a less than the maximum concentration of solute dissolved •Saturated - has the maximum concentration of solute dissolved (can see solid in bottom of solution) •Supersaturated -contains more dissolved solute than normally possible (usually requires an increase in temperature followed by cooling)
  • 14.
  • 15. Solubility • the amount of solute that dissolves in a certain amount of a solvent at a given temperature and pressure to produce a saturated solution
  • 16. Conductivity in Solutions • Conductivity is a measure of water’s ability to conduct electrical current. Measurements of conductivity provide a general indication of water quality.
  • 17. Electrolytes What are electrolytes? • Electrolytes are substances that become ions in solution and acquire the capacity to conduct electricity. • Non electrolyte is a substance that does not dissociate into ions and so in solution it is a nonconductor of electricity.
  • 18. • Tap water conducts electricity: • You should avoid water when you are using electricity. Unlike distilled water that does not conduct enough electricity to light a bulb in the conductivity apparatus tap water contains various ions from dissolved minerals. Water sources like water from a well has more concentration of salts than the surface water such as lakes and rivers.
  • 19. • While swimming in the pool, get out of the pool if a thunderstorm strikes. Chlorinated water conducts electricity.
  • 20. Factors affecting solubility of solids Temperaturee increased temperature causes solids to dissolve faster Shaking Note: Increasing the amount of solute DOES NOT increase the rate of dissolving Shaking (agitation) causes solids to dissolve faster Smaller particles dissolve Faster because they have more surface area Particle Sizee
  • 21. Polarity and Dissolving • Chemists use the saying “like dissolves like”: ➢Polar solutes tend to dissolve in polar solvents. ➢Nonpolar solutes tend to dissolve in nonpolar solvents. Oil is nonpolar while water is polar. They are immiscible.
  • 22. • Miscible liquids can easily dissolve in one another. • Immiscible liquids are not soluble in each other. Chemistry-Borders
  • 23. • The amount of solute in a solution can be expressed in several ways. These includes percentage by mass, volume, or mass- volume, mole fraction, molality, molarity, and parts per million, among others
  • 24. PERCENT BY MASS, BY VOLUME, AND BY MASS- VOLUME • Percent by mass (or percent by weight, %w/w) expresses the mass of solute per 100 g solution. Mass of solution is equal to the mass of solute plus the mass of solvent. The formula for percent by mass is: Chemistry-Borders IPC-Solutions-Borders
  • 25. Sample Problem 1: If 28.5 g of calcium hydroxide Ca (OH)2 is dissolved in enough water to make 185 g of solution, what is the percent by mass of Ca (OH)2 in the solution? Solution:
  • 26. Sample Problem 2: If mass of solution = 25.0g sugar + 100.0g water = 125.0 g, What is its percent by mass?
  • 27. Sample Problem 3: A saline solution with a mass of 355 g has 36.5 g of NaCl dissolved in it. What is the mass/mass percent concentration of the solution? We can substitute the quantities given in the equation for mass/mass percent:
  • 28. If the solution involves a solute and a solvent that are both liquids, the percent by volume (%v/v) is used instead of by mass with the following formula:
  • 31. Sample Problem #2 What is the % volume of NaOH if 20 ml of NaOH are added to 300 ml of water? Percent volume = volume of part (solute) x 100 volume of whole (solution) % volume = 20 ml x 100 (20 ml + 300 ml) % volume = (20 / 320) x 100 = 6.25% solution
  • 32. Sample Problem 3: A wine contains 12% alcohol by volume. Calculate the volume (in mL) of alcohol in 350 mL of the wine. Solution: % by volume = volume solute in mL volume solution in mL × 100 volume solute in mL = % by volume 𝑥 volume solution in mL 100
  • 33. Percent by mass- volume (or percent by weight- volume, % w/v) of a solution is given by:
  • 34. • A mole is the SI unit of number of particles and can be used as an expression of the molecular weight of a substance. Units of Concentration The formula weight of an element is expressed as grams/mole
  • 35. • The molar mass of a compound can be calculated by adding the molar mass of the individual elements. Units of Concentration 22.99 + 35.45 = 58.44 g/mol
  • 36. MOLE FRACTION Mole fraction is the ratio of the number of moles of one component to the total number of moles in a solution. It is represented by a capital letter X.
  • 37. Sample problem 1: Calculate the mole fraction of sulfuric acid (H2SO4) in 8% (% w/w) aqueous H2SO4 solution. (molar masses: H2SO4 98 g/ mol; H2O = 18 g/ mol) Chemistry-Borders IPC-Solutions-Borders
  • 38. MOLE FRACTION 1. Calculate the mole fraction of each component of a solution containing 65 g of ethanol 𝐶2𝐻6O in 350 g of water. 2. A solution is made by dissolving 1.25g 𝑁𝑎2S𝑂4 in 65.0g water. Calculate the mole of fraction of the solute and the solvent.
  • 40. mol of solute kg of solvent m = Molality (m) Because both moles and mass do not change with temperature, molality (unlike molarity) is not temperature dependent.
  • 41. •Molality is define as the number of moles of solute per kilogram of solvent. It can be mathematically expressed as molality = moles of solute mass of solvent (in kg)
  • 42. mol of solute L of solution M = Molarity (M) • Because volume is temperature dependent, molarity can change with temperature.
  • 43. Molarity • Molarity is the concentration of a solution expressed in moles of solute per Liter of solution. • Molarity is a conversion factor for calculations Molarity (M) = moles of solute Liters of solution
  • 44. Example#1 What is the molarity of a solution of NaOH if there are 4 moles of NaOH dissolved water to make 1 liter of solution? Chemistry-Borders IPC-Solutions-Borders 4 moles = 4 M 1 liter
  • 45. Molarity M = mol (solute) L (solution) • Example 2: What is the molarity of a solution that has 2.3 moles of sodium chloride in 0.45 liters of solution? 2.3 moles NaCl = 5.1M NaCl 0.45 L
  • 46. Molarity Problems What is the molarity of a solution of NaOH if there are 4 moles of NaOH dissolved water to make 2 liters of solution? 4 moles = 2 M 2 liter
  • 47. Molarity Problems What is the molarity of a solution of NaOH if there are 2 moles of NaOH dissolved water to make 6 liters of solution? 2 moles = .33 M 6 liters
  • 48. Molarity Problems What is the molarity of a solution of NaOH if there are 2 moles of NaOH dissolved water to make .5 liters of solution? 2 moles = 4 M .5 liters
  • 49. Molarity Problems What is the molarity of a solution of NaOH if there are 40 grams of NaOH dissolved water to make 1 liters of solution? First, convert grams to moles: Na = 23 g/mol O = 16 g/mol so 40 g = 1 mole H = 1 g/mol 40 g/mole GFM
  • 50. Molarity M = mol (solute) L (solution) • Example 2: How many moles of KNO3 are needed to make 450. mL of 1.5 molar solution? 450. mL 1L 1.5 mol KNO3 1 1000mL 1L = .675 moles KNO3
  • 51. Molarity M = mol (solute) L (solution) • Example 3: How many grams of NaCl are needed to make 3.0 L of 1.5 M solution? 3.0 L 1.5 mol NaCl 58.44 g NaCl 1 1 L 1 mol NaCl = 260 g NaCl
  • 52. Molarity M = mol (solute) L (solution) • Example 4: How many L of 4.0 M solution can be made with 132g of NaCl ? 132 g NaCl 1 mol NaCl 1 L 1 58.44 g NaCl 4.0 mol NaCl = .565 L
  • 54. Solution Stoichiometry • When we previously did stoichiometry for a reaction to determine theoretical yield, we only worked with GRAMS and MOLES • Ex/ How many MOLES of HCl are required to react with 13 GRAMS of zinc? Zn + 2 HCl → ZnCl2 + H2
  • 55. Solution Stoichiometry • But we may be given something OTHER than grams and moles • We can use stoichiometry to solve for ANY unit. We just need to make sure units cancel out and we end up with the unit we are trying to solve for! • The mole ratio using coefficients from the balanced chemical equation is the key to switching between compounds
  • 56. Solution Stoichiometry Ex/ How many LITERS of 12 M HCl are required to react with 13.0 GRAMS of zinc? Zn + 2 HCl → ZnCl2 + H2 13.0g Zn 1 mole Zn 2 mol HCl 1L HCl 1 65.38g Zn 1 mol Zn 12 mol HCl Remember – Molarity (M) is a conversion Factor = 0.0331 L HCl
  • 57. Solution Stoichiometry • Ex/ How many grams of NaOH would be required to react with 1.50 L of 3.75M sulfuric acid? H2SO4 + NaOH → Na2SO4 + H2O 1.50L 1 H2SO4 3.75 mole H2SO4 2 mol NaOH 40.00g NaOH 1 1 L H2SO4 1 mole H2SO4 1 mol NaOH = 450. g NaOH