# Colligative Properties Discussion Chem. 1A

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1 Colligative Properties Discussion Chem. 1A The material covered today is found in sections Chapter This material will not be covered in lecture, you will have homework assigned. Chem. 1A Colligative Properties Discussion 1 Colligative Property Comparing physical properties of a solution relative to the physical properties of the pure solvent. Defined: Properties that depend on the total amount of dissolved solute particles in a solvent. More solute particles (ions or molecules) the greater this effect. Example: Solution: NaCl dissolved in water [Na + (aq) & Cl (aq)] Pure solvent: water Chem. 1A Colligative Properties Discussion 2 1

2 Colligative Properties Relative to a pure solvent, a solution has: A lower vapor pressure A higher boiling point A lower freezing point Osmosis occurs Example: Pure water: b.p.=100 C f.p.= 0 C 1.00 m NaCl (aq) b.p. = 101 C f.p. = 3.7 C Chem. 1A Colligative Properties Discussion 3 Colligative properties: Concentration Dependant upon the amount of solute particles. Concentration is expressed in different ways for different properties. (vapor pressure, boiling point, etc...) Chem. 1A Colligative Properties Discussion 4 2

3 Molarity (M) Concentration Units M= moles solute L of solution Chem. 1A Colligative Properties Discussion 5 Concentration Units Weight (mass) % mass solute % = Total mass of solution 100 Chem. 1A Colligative Properties Discussion 6 3

4 Concentration Units Mole Fraction (X) X i = moles solute (i) Total moles in solution Where i is the moles of one component of the solute. Total moles are all species: mols solute (i) + mols solvent The sum of all of the mole fractions for each component are 1 exactly. X = 1 i Chem. 1A Colligative Properties Discussion 7 Molality (m) Concentration Units m = moles solute kg solvent Chem. 1A Colligative Properties Discussion 8 4

5 Changes in vapor pressure: Raoult s Law Vapor pressure: pressure exerted by the vapor when a liquid in a closed container is at equilibrium with the vapor. Vapor pressure of solution is decreased by the presence of a solute. More solute particles, lower vapor pressure of solution. Chem. 1A Colligative Properties Discussion 9 Raoult s Law P solution = X solvent P o P solution = the vapor pressure of a mixture of solute and solvent P o = the vapor pressure of the pure solvent X solvent = the mole fraction of the solvent.* The expression can also be written in the form: Δ P = X P solvent solute ΔP is the change to the vapor pressure of the pure solvent. o Chem. 1A Colligative Properties Discussion 10 5

6 Raoult s Law P solution = X solvent P o P solution = the vapor pressure of a mixture of solute and solvent P o = the vapor pressure of the pure solvent X solvent = the mole fraction of the solvent.* * If the solute involves an ionic compound then the total concentration of ions (both cations and anions) must be considered in the calculation of mole fraction. Chem. 1A Colligative Properties Discussion 11 Boiling Point Elevation and Freezing Point depression: Molecular Compounds The temperature of the normal boiling point of a solution is increased by: Δ Tb = Kb msolute The temperature of the normal freezing point of a solution is decreased by: Δ Tf = Kf msolute Where the K s are the respective boiling and freezing point constants and m solute is the molality of the solution. For boiling point elevation: K b > 0 (positive) For freezing point depression: K f < 0 (negative) Chem. 1A Colligative Properties Discussion 12 6

7 van t Hoff factor Boiling and Freezing point effects involving ions: When solutions containing ions are involved, the total concentration of solute particles must be considered. The change in b.p. or f.p. is given by the equation: Δ T= K m i Where m is the calculated molaity based on formula wt. i = the number of ions (van t Hoff factor) compound Type i CH 3 OH molecular 1 NaCl strong electrolyte 2 Ba(NO 3 ) 2 strong electrolyte 3 HNO 2 weak electrolyte 1 2 Chem. 1A Colligative Properties Discussion 13 Osmosis Solvent Solution Semipermeable membrane A semipermeable membrane allows only the movement of solvent molecules. Solvent molecules move from pure solvent to solution in an attempt to make both have the same concentration of solute. Chem. 1A Colligative Properties Discussion 14 7

8 Osmosis at the Particulate Level Chem. 1A Colligative Properties Discussion 15 Process of Osmosis Chem. 1A Colligative Properties Discussion 16 8

9 Osmotic Pressure, Equilibrium is reached when the internal pressure of the apparatus equals the external pressure of the open tube. Since the internal pressure, P int is greater then the atmospheric pressure, a column of liquid rises: P atm +P col = P int Recall that: P = g d h Chem. 1A Colligative Properties Discussion 17 Osmotic Pressure, P col is referred to as the Osmotic Pressure,. Osmotic pressure = crt c = concentration of solute (mols/l) T = the absolute temperature (K) Latm R = is in units of atm. mol K Chem. 1A Colligative Properties Discussion 18 9

10 Now it is time to work on the problems from your hand out. You will not have time to finish, please work on these outside of class. See your instructor or the help office if you have questions. Solutions will be posted online soon. You need to try your best to solve these problems as they will be on the exam and final! Chem. 1A Colligative Properties Discussion 19 10

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