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Colligative Properties of Solutions Sec 14-2
18

13-2 Colligative Properties of Solutions

Apr 03, 2015

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Page 1: 13-2 Colligative Properties of Solutions

Colligative Properties of Solutions

Sec 14-2

Page 2: 13-2 Colligative Properties of Solutions

Colligative Properties

What are they? Properties that depend on the concentration of

solute particles but not on their identity.

For calculations, we must use concentrations in molality.

Page 3: 13-2 Colligative Properties of Solutions

Molality Review

Molality = moles solute

mass of solvent (kg)

Ex) A solution was prepared by dissolving 17.1 g of sucrose (MW 342.34g/mol) in 125 g of water. Calc it molality.

17.1 g x 1mol/342.34g = 0.0500 mol sucrose

m = 0.0500mol/ 0.125kg = 0.400 m solu.

Page 4: 13-2 Colligative Properties of Solutions

Vapor Pressure Lowering

The boiling point and freezing point of a solution differ from those of a pure solvent.

A non-volatile solute will increase boiling point and decrease freezing point.

Page 5: 13-2 Colligative Properties of Solutions

Vapor Pressure Lowering

Works by reducing the vapor pressure. Vapor pressure is lower because the solute takes

up space at the surface of the liquid.

Page 6: 13-2 Colligative Properties of Solutions

Freezing-Point Depression

The freezing point of a 1molal solution of any nonelectrolyte solute in water will decrease the freezing point by 1.86o C. Molal freezing point Constant (Kf): = the freezing

point depression of the solvent in a 1 molal solution of a nonvolatile, nonelectrolyte solute. Kf of water: = -1.86o C

Page 7: 13-2 Colligative Properties of Solutions

Freezing-Point Depression

Each solvent has its own characteristic molal freezing point. (see table 14-2 pg 438) These values are most accurate for dilute

solutions at 1 atmosphere pressure.

Page 8: 13-2 Colligative Properties of Solutions

Freezing-Point Depression

Freezing Point Depression (Δtf) is the difference between the freezing point of the pure solvent and a solution of a nonelectrolyte in that solvent. is directly proportional to the molal concentration

of the solution Δtf = freezing point (f.p.)solution – f.p. pure solvent

Δtf = Kfm Kf = molal freezing point constantm = molal concentration

Page 9: 13-2 Colligative Properties of Solutions

Example problem freezing point depression What is the freezing-point depression of

water in a solution of 17.1g sucrose (MW 342.34g/mol) and 200.g of water. What is the actual freezing point of the solution?

1st calculate the number of moles of solute

2nd determine the molal concentration of solu.

3rd. Determine Δtf

Page 10: 13-2 Colligative Properties of Solutions

Example freezing point depression A water solution containing an unknown

quantity of a nonelectrolyte solute is found to have a freezing point of -0.23oC. What is the molal concentration of the solution? Know

Water is solvent so Kf = -1.86oC/m

Δtf = f.p. solution – f.p. pure solvent

= -0.23oC - 0.00oC = -0.23oC

Rearrange Δtf = Kfm to solve for m m= Δtf / Kf

Page 11: 13-2 Colligative Properties of Solutions

Boiling Point Elevation

Molal boiling point constant (Kb) is the boiling point elevation of the solvent in a 1 molal solution of a nonvolatile, nonelectrolyte solute. For water Kb = 0.51oC/m

Boiling point elevation (Δtb) is the difference between the boiling points of the pure solvent and a nonelectrolyte solution of that solvent. Δtb=Kbm Δtb= b.p. solu – b.p. solvent

Page 12: 13-2 Colligative Properties of Solutions

Example problem boiling point elevation What is the boiling point elevation of a

solution made from 20.0g of a nonelectrolyte solute and 400.0g of water? (MW = 62.0g/mol)

Page 13: 13-2 Colligative Properties of Solutions

Electrolytes and Colligative Properties Early experiments showed that some

solutions depressed the freezing point of a solvent more than expected.

Ex) A 0.1m solution of NaCl lowers the f.p. of a

solvent nearly twice as much as a 0.1m solution of sucrose. And 0.1m solution of CaCl2 lowered the f.p. nearly three times as much as a 0.1m solution of sucrose.

Page 14: 13-2 Colligative Properties of Solutions

Electrolytes and Colligative Properties WHY?

Compare the behavior of sucrose with that of NaCl in aqueous solution Sucrose dissolves to yield only 1 mole of particles is

solution since it is a nonelectrolyte NaCl dissolves to yield 2 moles of particles in solution

since it is a strong electrolyte

1mol NaCl 1mol Na+ + 1mol Cl-

Page 15: 13-2 Colligative Properties of Solutions

Electrolytes and Colligative Properties

Page 16: 13-2 Colligative Properties of Solutions

Calculated Values for Electrolyte Solutions For electrolytes we must figure molality in

terms of total moles of dissolved particles rather than formula units.

Ex) molality of solution x molality conversion = adjusted molality

22.99 g of NaCl

Page 17: 13-2 Colligative Properties of Solutions

Calculated Values for Electrolyte Solutions Example problem What is the expected change in the freezing

point of water in a solution of 62.5 g of barium nitrate, Ba(NO3)2 in 1.00 kg of water

-1.33oC

Page 18: 13-2 Colligative Properties of Solutions

Calculated Values for Electrolyte Solutions Example problem What is the expected freezing point

depression for a solution that contains 2.0 moles of magnesium sulfate dissolved in 1.0 kg of water?

-7.4oC