Chemistry 101 Chapter 12 BOILING POINT ELEVATION Normal Boiling Point (BP) of a liquid is the temperature at which the vapor pressure of the liquid equals 1.00 atm I. Effect of a Dissolved Solute on the BP of a Solution What happens if a nonvolatile solute such as ethylene glycol (C2H6O2) is added to pure water ? Vapor Pressure of Solution Vapor Pressure of Pure Solvent (water) P(A + B) PA It follows: 1. The normal BP of solution (A+B) is the temperature at which P(A+B) is equal to 1.00 atm 2. This requires a temperature higher than for the pure liquid (water) 3. BP(solution) BP (pure solvent) B.P. Elevation Tb = Boiling Point Elevation Tb = BP (solution) BP (solvent) Boiling point elevation is a Colligative Property depends on the concentration of the Solution does not depend on the nature of the Solute Tb = KbCm Cm = Concentration in molality Kb = Boiling Point Elevation Constant (units of C/m) 18 Chemistry 101 Chapter 12 PHASE DIAGRAM FOR WATER AND AN AQUEOUS SOLUTION OF ETHYLENE GLYCOL 1.00 atm Freezing Curve for Pure Solvent Freezing Curve for Solution Solid Vapor Pressure t (0C) FP of BP of Solvent FP of Solution Solvent BP of Solution Tf Tb 19 Chemistry 101 Chapter 12 Examples: 1. At what temperature would a a 5.00 molal solution of ethylene glycol boil? (Kb(water) = 0.512 oC/m) Tb = (0.512 oC/m) (5.00 m) = 2.56 oC BP(solution) = 100.00 oC + 2.56 oC = 102.56 oC 2. A solution was made of eugenol in diethyl ether (ether). If the solution was 0.575 m eugenol in ether, what was the Boiling Point of the solution ? BP(diethyl ether) = 34.6 oC Kb(ether) = 2.02 oC/m) Tb = (2.02 oC/m) (0.575 m) = 1.16 oC BP(solution) = 34.6 oC + 1.16 oC = 35.8 oC 20 Chemistry 101 Chapter 12 FREEZOMG POINT DEPRESSION From the phase diagram, the vapor pressure curve for the solid solution is unchanged. As the temperature of a solution is lowered, the pure solvent freezes out of solution. (Sea ice is almost pure water) FP of the solution shifts toward a lower temperature (F. P. Depression) Tf = Freezing Point Depression Tf = FP(solvent) FP (solution) Freezing point depression is a Colligative Property depends on the concentration of the Solution does not depend on the nature of the Solute Tf = KfCm Cm = Concentration in molality Kf = Freezing Point Depression Constant (units of C/m) Practical Applications 1. Use of ethylene glycol as antifreeze in car radiators: lower the FP of coolant elevates the BP of coolant (prevents it from boiling away) 2. NaCl poured over icy roads lowers the FP of ice below thetemperature of the surrounding air. As a result, the salted ice melts. 3. To obtain Molecular Weights of compounds 21 Chemistry 101 Chapter 12 Examples: 1. How many grams of ethylene glycol (C2H6O2) must be added to 37.8 g of water to give a Freezing Point of 0.150 oC ? (Kf = 1.858 C/m) Tf = FP (solvent) – FP(solution) = 0.000 oC – ( 0.150 oC ) = 0.150 oC Tf = Kf Cm Cm = ? g EG = 37.8 g water x Tf 0.150 C = = 0.0807 m Kf 1.858 C/m 0.0807 mol EG 62.08 g x = 189 g 1000 g water 1 mol 2. An aqueous solution of a molecular compound freezes at – 0.0860C. What is the molality of the solution? (Kf = 1.858 0C/m) Tf = 0.0000C (0.0860C) = 0.0860C Tf = Kf x m Tf m = Kf 0.0860C = = 4.6 x 102 m 1.858 0C/m 22 Chemistry 101 Chapter 12 OSMOSIS & OSMOTIC PRESSURE Osmosis is the phenomenon of solvent flow through a semipermeable membrane to equalize the solute”s concentrations on both sides of the membrane. A semipermeable membrane allows solvent molecules to pass through but not solute molecules. For example, in the diagram (a) below, water flows through the cellophane membrane to equalize glucose’s concentration on both sides of the membrane. Similarly, in diagram (b), water flows through the membrane on the funnel to equalize the concentration of glucose in the funnel. Osmotic pressure, π, is equal to the pressure that, when applied, just stops osmosis. Osmotic pressure can be determined from the following relationship: =MRT where, M = concentration in molarity (mol/L) R= Universal gas constant (0.0821 Latm/molK) T = absolute temperature (K) (a) (b) 23 Chemistry 101 Chapter 12 Examples: 1. Dextran, a polymer of glucose units, is produced by bacteria growing in sucrose solutions. Solutions of dextran in water have been used as a blood plasma substitute. At 21°C, what is the osmotic pressure (in mmHg) of a solution containing 1.50 g of dextran dissolved in 100.0 mL of aqueous solution, if the average molecular mass of the dextran is 4.0 108 amu? 24 Chemistry 101 Chapter 12 COLLIGATIVE PROPERTIES OF IONIC SOLUTONS When evaluating colligative properties of ionic solutions, the total concentration of the ions must be considered. The number of ions produced from each formula unit is designated i. NaCl → Na+ + Cl– i=2 MgCl2 → Mg2+ + 2 Cl– i=3 The colligative properties can be calculated with the following modifications: ∆P = i XB PA ∆Tb = i m Kb ∆Tf = i m Kf π = i MRT Examples: 1. Calculate the freezing point of 0.010 m solution of aluminum sulfate, Al (SO ) . ( K =1.86 ºC/m) 2 2. Which of the following solutions will have the lowest freezing point? 0.15 M NaCl 0.25 M C6H12O6 0.10 M Fe (NO3)3 25 4 3 f
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