Physical Properties of Solutions
Chapter 12
Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
12.1
A solution is a homogenous mixture of 2 or
more substances.
The solute is(are) the substance(s) present in the
smaller amount(s).
The solvent is the substance present in the larger
amount.
A saturated solution contains the maximum amount of a
solute that will dissolve in a given solvent at a specific
temperature.
An unsaturated solution contains less solute than the
solvent has the capacity to dissolve at a specific
temperature.
A supersaturated solution contains more solute than is
present in a saturated solution at a specific temperature.
Sodium acetate crystals rapidly form when a seed crystal is
added to a supersaturated solution of sodium acetate.
12.1
Dissolution of NaCl in Water
Dissolution of NaCl in Water
12.2
Three types of interactions in the solution process:
• solvent-solvent interaction
• solute-solute interaction
• solvent-solute interaction
DHsoln = DH1 + DH2 + DH3
“like dissolves like”
Two substances with similar intermolecular forces are likely
to be soluble in each other.
• non-polar molecules are soluble in non-polar solvents
CCl4 in C6H6
• polar molecules are soluble in polar solvents
C2H5OH in H2O
• ionic compounds are more soluble in polar solvents
NaCl in H2O or NH3 (l)
12.2
Dilution
M1V1 = M2V2
Temperature and Solubility
Solid solubility and temperature
solubility increases with
increasing temperature
solubility decreases with
increasing temperature
12.4
Fractional crystallization is the separation of a mixture of
substances into pure components on the basis of their differing
solubilities.
Suppose you have 90 g KNO3
contaminated with 10 g NaCl.
Fractional crystallization:
1. Dissolve sample in 100 mL of
water at 600C
2. Cool solution to 00C
3. All NaCl will stay in solution
(s = 34.2g/100g)
4. 78 g of PURE KNO3 will
precipitate (s = 12 g/100g).
90 g – 12 g = 78 g
12.4
Temperature and Solubility
O2 gas solubility and temperature
solubility usually
decreases with
increasing temperature
12.4
Concentration Units
The concentration of a solution is the amount of solute
present in a given quantity of solvent or solution.
Percent by Mass
% by mass = x 100%
mass of solute
mass of solute + mass of solvent
= x 100%
mass of solute
mass of solution
12.3
Mole Fraction (X)
XA =
moles of A
sum of moles of all components
Concentration Units Continued
M =
moles of solute
liters of solution
Molarity (M)
Molality (m)
m =
moles of solute
mass of solvent (kg)
12.3
What is the molality of a 5.86 M ethanol (C2H5OH)
solution whose density is 0.927 g/mL?
m =
moles of solute
mass of solvent (kg)
M =
moles of solute
liters of solution
Assume 1 L of solution:
5.86 moles ethanol = 270 g ethanol
927 g of solution (1000 mL x 0.927 g/mL)
mass of solvent = mass of solution – mass of solute
= 927 g – 270 g = 657 g = 0.657 kg
m =
moles of solute
mass of solvent (kg)
=
5.86 moles C2H5OH
0.657 kg solvent
= 8.92 m
12.3
Pressure and Solubility of Gases
12.5
The solubility of a gas in a liquid is proportional to the
pressure of the gas over the solution (Henry’s law).
c = kH P
c is the concentration (M) of the dissolved gas
P is the pressure of the gas over the solution
kH is a constant for each gas (mol/L•atm) that
depends only on temperature
low P
low c
high P
high c
Colligative Properties of Nonelectrolyte Solutions
Colligative properties are properties that depend only on the
number of solute particles in solution and not on the nature of
the solute particles.
Vapor-Pressure Lowering
Raoult’s law
If the solution contains only one solute:
X1 = 1 – X2
P 1
0
- P1 = DP = X2 P 1
0
P 1
0
= vapor pressure of pure solvent
X1 = mole fraction of the solvent
X2 = mole fraction of the solute
12.6
P1 = X1 P 1
0
Boiling-Point Elevation
DTb = Tb – T b
0
Tb > T b
0
DTb > 0
T b is the boiling point of
the pure solvent
0
T b is the boiling point of
the solution
DTb = Kb m
m is the molality of the solution
Kb is the molal boiling-point
elevation constant (0C/m)
for a given solvent
12.6
Freezing-Point Depression
DTf = T f – Tf
0
T f > Tf
0
DTf > 0
T f is the freezing point of
the pure solvent
0
T f is the freezing point of
the solution
DTf = Kf m
m is the molality of the solution
Kf is the molal freezing-point
depression constant (0C/m)
for a given solvent
12.6
12.6
What is the freezing point of a solution containing 478 g
of ethylene glycol (antifreeze) in 3202 g of water? The
molar mass of ethylene glycol is 62.01 g/mol.
DTf = Kf m
m =
moles of solute
mass of solvent (kg)
= 2.41 m
=
3.202 kg solvent
478 g x
1 mol
62.01 g
Kf water = 1.86 0C/m
DTf = Kf m = 1.86 0C/m x 2.41 m = 4.48 0C
DTf = T f – Tf
0
Tf = T f – DTf
0
= 0.00 0C – 4.48 0C = -4.48 0C
12.6
Osmotic Pressure (p)
12.6
Osmosis is the selective passage of solvent molecules through a porous
membrane from a dilute solution to a more concentrated one.
A semipermeable membrane allows the passage of solvent molecules but
blocks the passage of solute molecules.
Osmotic pressure (p) is the pressure required to stop osmosis.
dilute
more
concentrated
High
P
Low
P
Osmotic Pressure (p)
p = MRT
M is the molarity of the solution
R is the gas constant
T is the temperature (in K) 12.6
Semipermeable Membrane in Osmosis
A cell in an:
12.6
isotonic
solution
hypotonic
solution
hypertonic
solution
Summary - Colligative Properties of
Nonelectrolyte Solutions
Colligative properties are properties that depend only on the
number of solute particles in solution and not on the nature of
the solute particles.
12.6
Vapor-Pressure Lowering P1 = X1 P 1
0
Boiling-Point Elevation DTb = Kb m
Freezing-Point Depression DTf = Kf m
Osmotic Pressure (p) p = MRT
Colligative Properties of Electrolyte Solutions
12.7
0.1 m NaCl solution 0.1 m Na+ ions & 0.1 m Cl– ions
Colligative properties are properties that depend (ideally) only
on the number of solute particles in solution and not on the
nature of the solute particles.
0.1 m NaCl solution 0.2 m ions in solution
van’t Hoff factor (i) =
actual number of particles in soln after dissociation
number of formula units initially dissolved in soln
nonelectrolytes
NaCl
CaCl2
i should be
1
2
3
Boiling-Point Elevation DTb = i Kb m
Freezing-Point Depression DTf = i Kf m
Osmotic Pressure (p) p = iMRT
Colligative Properties of Electrolyte Solutions
12.7
A colloid is a dispersion of actual particles of one substance
throughout a dispersing medium of another substance. The
particles are small enough to stay suspended but large enough
to scatter light (the Tyndall effect).
Colloid versus solution
• collodial particles are much larger than solute molecules
• collodial suspension is not as homogeneous as a solution
12.8
The Cleansing Action of Soap
12.8
Solution

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Solution

  • 1. Physical Properties of Solutions Chapter 12 Copyright © The McGraw-Hill Companies, Inc. Permission required for reproduction or display.
  • 2. 12.1 A solution is a homogenous mixture of 2 or more substances. The solute is(are) the substance(s) present in the smaller amount(s). The solvent is the substance present in the larger amount.
  • 3. A saturated solution contains the maximum amount of a solute that will dissolve in a given solvent at a specific temperature. An unsaturated solution contains less solute than the solvent has the capacity to dissolve at a specific temperature. A supersaturated solution contains more solute than is present in a saturated solution at a specific temperature. Sodium acetate crystals rapidly form when a seed crystal is added to a supersaturated solution of sodium acetate. 12.1
  • 6. 12.2 Three types of interactions in the solution process: • solvent-solvent interaction • solute-solute interaction • solvent-solute interaction DHsoln = DH1 + DH2 + DH3
  • 7. “like dissolves like” Two substances with similar intermolecular forces are likely to be soluble in each other. • non-polar molecules are soluble in non-polar solvents CCl4 in C6H6 • polar molecules are soluble in polar solvents C2H5OH in H2O • ionic compounds are more soluble in polar solvents NaCl in H2O or NH3 (l) 12.2
  • 9. Temperature and Solubility Solid solubility and temperature solubility increases with increasing temperature solubility decreases with increasing temperature 12.4
  • 10. Fractional crystallization is the separation of a mixture of substances into pure components on the basis of their differing solubilities. Suppose you have 90 g KNO3 contaminated with 10 g NaCl. Fractional crystallization: 1. Dissolve sample in 100 mL of water at 600C 2. Cool solution to 00C 3. All NaCl will stay in solution (s = 34.2g/100g) 4. 78 g of PURE KNO3 will precipitate (s = 12 g/100g). 90 g – 12 g = 78 g 12.4
  • 11. Temperature and Solubility O2 gas solubility and temperature solubility usually decreases with increasing temperature 12.4
  • 12. Concentration Units The concentration of a solution is the amount of solute present in a given quantity of solvent or solution. Percent by Mass % by mass = x 100% mass of solute mass of solute + mass of solvent = x 100% mass of solute mass of solution 12.3 Mole Fraction (X) XA = moles of A sum of moles of all components
  • 13. Concentration Units Continued M = moles of solute liters of solution Molarity (M) Molality (m) m = moles of solute mass of solvent (kg) 12.3
  • 14. What is the molality of a 5.86 M ethanol (C2H5OH) solution whose density is 0.927 g/mL? m = moles of solute mass of solvent (kg) M = moles of solute liters of solution Assume 1 L of solution: 5.86 moles ethanol = 270 g ethanol 927 g of solution (1000 mL x 0.927 g/mL) mass of solvent = mass of solution – mass of solute = 927 g – 270 g = 657 g = 0.657 kg m = moles of solute mass of solvent (kg) = 5.86 moles C2H5OH 0.657 kg solvent = 8.92 m 12.3
  • 15. Pressure and Solubility of Gases 12.5 The solubility of a gas in a liquid is proportional to the pressure of the gas over the solution (Henry’s law). c = kH P c is the concentration (M) of the dissolved gas P is the pressure of the gas over the solution kH is a constant for each gas (mol/L•atm) that depends only on temperature low P low c high P high c
  • 16. Colligative Properties of Nonelectrolyte Solutions Colligative properties are properties that depend only on the number of solute particles in solution and not on the nature of the solute particles. Vapor-Pressure Lowering Raoult’s law If the solution contains only one solute: X1 = 1 – X2 P 1 0 - P1 = DP = X2 P 1 0 P 1 0 = vapor pressure of pure solvent X1 = mole fraction of the solvent X2 = mole fraction of the solute 12.6 P1 = X1 P 1 0
  • 17. Boiling-Point Elevation DTb = Tb – T b 0 Tb > T b 0 DTb > 0 T b is the boiling point of the pure solvent 0 T b is the boiling point of the solution DTb = Kb m m is the molality of the solution Kb is the molal boiling-point elevation constant (0C/m) for a given solvent 12.6
  • 18. Freezing-Point Depression DTf = T f – Tf 0 T f > Tf 0 DTf > 0 T f is the freezing point of the pure solvent 0 T f is the freezing point of the solution DTf = Kf m m is the molality of the solution Kf is the molal freezing-point depression constant (0C/m) for a given solvent 12.6
  • 19. 12.6
  • 20. What is the freezing point of a solution containing 478 g of ethylene glycol (antifreeze) in 3202 g of water? The molar mass of ethylene glycol is 62.01 g/mol. DTf = Kf m m = moles of solute mass of solvent (kg) = 2.41 m = 3.202 kg solvent 478 g x 1 mol 62.01 g Kf water = 1.86 0C/m DTf = Kf m = 1.86 0C/m x 2.41 m = 4.48 0C DTf = T f – Tf 0 Tf = T f – DTf 0 = 0.00 0C – 4.48 0C = -4.48 0C 12.6
  • 21. Osmotic Pressure (p) 12.6 Osmosis is the selective passage of solvent molecules through a porous membrane from a dilute solution to a more concentrated one. A semipermeable membrane allows the passage of solvent molecules but blocks the passage of solute molecules. Osmotic pressure (p) is the pressure required to stop osmosis. dilute more concentrated
  • 22. High P Low P Osmotic Pressure (p) p = MRT M is the molarity of the solution R is the gas constant T is the temperature (in K) 12.6
  • 24. A cell in an: 12.6 isotonic solution hypotonic solution hypertonic solution
  • 25. Summary - Colligative Properties of Nonelectrolyte Solutions Colligative properties are properties that depend only on the number of solute particles in solution and not on the nature of the solute particles. 12.6 Vapor-Pressure Lowering P1 = X1 P 1 0 Boiling-Point Elevation DTb = Kb m Freezing-Point Depression DTf = Kf m Osmotic Pressure (p) p = MRT
  • 26. Colligative Properties of Electrolyte Solutions 12.7 0.1 m NaCl solution 0.1 m Na+ ions & 0.1 m Cl– ions Colligative properties are properties that depend (ideally) only on the number of solute particles in solution and not on the nature of the solute particles. 0.1 m NaCl solution 0.2 m ions in solution van’t Hoff factor (i) = actual number of particles in soln after dissociation number of formula units initially dissolved in soln nonelectrolytes NaCl CaCl2 i should be 1 2 3
  • 27. Boiling-Point Elevation DTb = i Kb m Freezing-Point Depression DTf = i Kf m Osmotic Pressure (p) p = iMRT Colligative Properties of Electrolyte Solutions 12.7
  • 28. A colloid is a dispersion of actual particles of one substance throughout a dispersing medium of another substance. The particles are small enough to stay suspended but large enough to scatter light (the Tyndall effect). Colloid versus solution • collodial particles are much larger than solute molecules • collodial suspension is not as homogeneous as a solution 12.8
  • 29. The Cleansing Action of Soap 12.8