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SOLUTIONS II. Concentrations and Colligative Properties. Solution Concentrations. Always: concentration = amount of solute_____ amount of solvent or solution Expressed as relative amounts: dilute or concentrated
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SOLUTIONS II Concentrations and Colligative Properties
Solution Concentrations • Always: concentration = amount of solute_____ amount of solvent or solution • Expressed as relative amounts: dilute or concentrated unsaturated or saturated • Most often expressed with specific amounts of each component CHM 1010 PGCC Barbara A. Gage
Percent Solution • By volume: (volume must have the same units) • By mass: (mass must have the same units) • By mass/volume: (generally grams and mL) CHM 1010 PGCC Barbara A. Gage
Percent Solution • What is the % m/v of a solution containing 35 g of sodium sulfate in 500 mL of water solution? • What would the % be if the solute was potassium acetate? 2. Since the nature of the substance does not play a part in the calculation the % value does not change. CHM 1010 PGCC Barbara A. Gage
Percent Solution • How many grams of copper (II) chloride are required to make 345 mL of a 25% solution (m/v)? CHM 1010 PGCC Barbara A. Gage
Molarity (again) • Because many reactions happen between substances in solution, it is important to have a concentration based on moles. CHM 1010 PGCC Barbara A. Gage http://fuelcell.com
Molarity • How many grams of sodium phosphate are required to make 250 mL of a 0.140 M solution? CHM 1010 PGCC Barbara A. Gage
Reactions with Solutions How many mL of 0.30 M NaCl are needed to react with 20.0 mL of 0.12 M Pb(NO3)2? 2 NaCl (aq) + Pb(NO3)2 (aq) PbCl2 (s) + 2 NaNO3 (aq) CHM 1010 PGCC Barbara A. Gage
Converting a concentrated solution to a dilute solution. Figure 3.11 CHM 1010 PGCC Barbara A. Gage
Dilution Calculations • For dilutions use the formula: Ci x Vi = Cf x Vf Where Ci = initial concentration Vi = initial volume Cf = final concentration Vf = final volume You can use any type of concentration or volume unit as long as they are the same. CHM 1010 PGCC Barbara A. Gage
Dilution Calculations • How many mL of 0.50 M KCl are required to make 1.5 L of 0.20 M KCl? CHM 1010 PGCC Barbara A. Gage
Colligative Properties • Properties that change depending on the number of particles dispersed in a solvent • Vapor pressure lowering CHM 1010 PGCC Barbara A. Gage
Figure 13.11 The effect of a solute on the vapor pressure of a solution. CHM 1010 PGCC Barbara A. Gage
Colligative Properties • Properties that change depending on the number of particles dispersed in a solvent • Vapor pressure lowering • Boiling point elevation • Freezing point depression CHM 1010 PGCC Barbara A. Gage
Phase diagrams of solvent and solution. Figure 13.12 CHM 1010 PGCC Barbara A. Gage
Boiling and Freezing Point Changes • ΔTb = Kb x m where m= moles solute kg solvent Kb = boiling pt constant • ΔTf = Kf x m Kf = freezing point constant • Applications… CHM 1010 PGCC Barbara A. Gage
Table 13.5 Molal Boiling Point Elevation and Freezing Point Depression Constants of Several Solvents Melting Point (0C) Boiling Point (0C)* Solvent Kb (0C/m) Kf (0C/m) Acetic acid 117.9 3.07 16.6 3.90 Benzene 80.1 2.53 5.5 4.90 Carbon disulfide 46.2 2.34 -111.5 3.83 Carbon tetrachloride 76.5 5.03 -23 30. Chloroform 61.7 3.63 -63.5 4.70 Diethyl ether 34.5 2.02 -116.2 1.79 Ethanol 78.5 1.22 -117.3 1.99 Water 100.0 0.512 0.0 1.86 *at 1 atm. CHM 1010 PGCC Barbara A. Gage
Colligative Properties • Properties that change depending on the number of particles dispersed in a solvent • Vapor pressure lowering • Boiling point elevation • Freezing point depression • Osmotic pressure – movement of solvent particles across a semipermeable membrane CHM 1010 PGCC Barbara A. Gage
semipermeable membrane The development of osmotic pressure. Applied pressure needed to prevent volume increase Figure 13.13 osmotic pressure pure solvent solution net movement of solvent CHM 1010 PGCC Barbara A. Gage
Osmotic Pressure • Remember PV = nRT? P V = n R T P = n R T V Π = M RT Where Π = osmotic pressure M = molarity CHM 1010 PGCC Barbara A. Gage
Osmosis and cells • When a cell is placed in a solution with a hypertonic (higher solute concentration but less water) water flows out of the cell and the cell shrinks (crenation). • When a cell is placed in a hypotonic solution (less solute but more water), water flows into the cell and the cell swells and may burst (hemolysis). CHM 1010 PGCC Barbara A. Gage
van’t Hoff factor (i) i = measured value for electrolyte solution expected value for nonelectrolyte solution Colligative Properties of Electrolyte Solutions For electrolyte solutions, the compound formula tells us how many particles are in the solution. The van’t Hoft factor, i, tells us what the “effective” number of ions are in the solution. For vapor pressure lowering: P = i(solutex P0solvent) For boiling point elevation: Tb = i(bm) For freezing point depression: Tf = i(fm) For osmotic pressure : = i(MRT) CHM 1010 PGCC Barbara A. Gage