Chem 106, Prof. T.L. Heise CHE 106: General Chemistry CHAPTER THIRTEEN Copyright © Tyna L. Heise 2001 - 2002 All Rights Reserved 1 Chem 106, Prof. T.L. Heise The Solution Process 2 • Solution - homogeneous mixture of two or more substances • Solvent - substance of greater amount in the homogeneous mixture (solution) • Solute - compounds “dissolved” in the solvent • Concentration - the amount of solute dissolved in a solvent. Expressed in molarity (M) Chap 13.1 Chem 106, Prof. T.L. Heise The Solution Process 3 • Solution -may be gases, liquids or solids – Examples: air ocean water 10K gold (alloy) Chap 13.1 Chem 106, Prof. T.L. Heise The Solution Process 4 A solution is formed when one substance disperses uniformly through another. All solutions, except gas mixtures, involve substances in a condensed state Intermolecular forces are also going to operate between solute and solvent - interactions are known as solvation - when solvent is water, the interactions are known as hydration Chap 13.1 Chem 106, Prof. T.L. Heise The Solution Process 5 Chap 13.1 Chem 106, Prof. T.L. Heise The Solution Process 6 Energy changes during solution formation is the sum of three energy changes: DH1 = separation of solute molecules DH2 = separation of solvent molecules DH3 = formation of solute-solvent interactions DH1 and DH2 are endothermic because you are breaking or overcoming interactive forces DH3 is exothermic due to the creation of new forces Chap 13.1 Chem 106, Prof. T.L. Heise The Solution Process 7 Chap 13.1 Chem 106, Prof. T.L. Heise The Solution Process 8 Solution Formation depends on two factors 1) energy or enthalpy changes DH 2) chaos or entropy changes DS Natural phenomenon's occur to satisfy two basic laws - energy content decreases - disorder content increases ** Formation of solutions is favored by the increase in disorder that accompanies mixing Chap 13.1 Chem 106, Prof. T.L. Heise The Solution Process 9 Solution Formation can occur during two basic processes 1) physical changes 2) chemical changes Our focus is on physical changes, key to recognizing difference is examining whether you can get the salt BACK unchanged when reaction is done. Chap 13.1 Chem 106, Prof. T.L. Heise Saturated Solutions and Solubility10 As a solid solute is dissolved, the concentration of dissolved particles increases, as does the chance of a collision between to dissolved particles. If two dissolved particles collide, the attractive forces could cause recrystallization In any solution Solute + solvent dissolve solution crystallize Chap 13.2 Chem 106, Prof. T.L. Heise Saturated Solutions and Solubility11 Saturated: in equilibrium, rate of dissolving equals rate of crystallization, concentration remains constant Solubility: the amount of solute needed to form a saturated solution in a given temperature Unsaturated: dissolved less the amount needed to form a saturated solution Supersaturated: dissolving more than the amount Chap 13.2 needed Chem 106, Prof. T.L. Heise Saturated Solutions and Solubility12 Chap 13.2 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 13 • Solute-Solvent Interactions » the stronger the the attractions between solute and solvent, the greater the solubility » miscible and immiscible » like dissolves like Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 14 • Pressure Effects » the solubility of a gas in any solvent is increased as the pressure of the gas over the solvent is increased Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 15 • Pressure Effects » relationship between pressure and the solubility of a gas is expressed in terms of a simple equations known as Henry’s Law Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 16 Sample Exercise: Calculate the concentration of CO2 in a soft drink after the bottle is opened and equilibrates at 25°C under a CO2 partial pressure of 3.0 x 10-4 atm. Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 17 Sample Exercise: Calculate the concentration of CO2 in a soft drink after the bottle is opened and equilibrates at 25°C under a CO2 partial pressure of 3.0 x 10-4 atm. 1) Cg = kPg Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 18 Sample Exercise: Calculate the concentration of CO2 in a soft drink after the bottle is opened and equilibrates at 25°C under a CO2 partial pressure of 3.0 x 10-4 atm. 1) Cg = kPg Cg = x k = 3.1 x 10-2 mol/L-atm(given page 480) Pg = 3.0 x 10-4 atm Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 19 Sample Exercise: Calculate the concentration of CO2 in a soft drink after the bottle is opened and equilibrates at 25°C under a CO2 partial pressure of 3.0 x 10-4 atm. 1) Cg = kPg x = 3.1 x 10-2 mol/L-atm(3.0 x 10-4 atm) Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 20 Sample Exercise: Calculate the concentration of CO2 in a soft drink after the bottle is opened and equilibrates at 25°C under a CO2 partial pressure of 3.0 x 10-4 atm. 1) Cg = kPg x = 3.1 x 10-2 mol/L-atm(3.0 x 10-4 atm) x = 9.3 x 10-6 mol/L Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility 21 • Temperature Effects » solubility of most solid solutes increases as the temperature of the solution does » solubility of most gases decreases as temperature of the solution does » look up solubility on a solubility table to find exact trend Chap 13.3 Chem 106, Prof. T.L. Heise Factors Affecting Solubility • Temperature Effects 22 Chap 13.3 Chem 106, Prof. T.L. Heise Expressing Concentration 23 • Dilute - relatively small concentration of solute in solution • Concentrated - relatively large concentration of solute in solution • Ways to express numerically•mass percentage •mole fraction •molarity •molality Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 24 • mass percentage mass of component *100 total mass of soln • ppm mass of component *100,000 total mass of soln • ppb mass of component *100,000,000 total mass of soln Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 25 Sample Exercise: Calculate the mass percentage of NaCl in a solution containing 1.50 g of NaCl in 50.0 g of water Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 26 Sample Exercise: Calculate the mass percentage of NaCl in a solution containing 1.50 g of NaCl in 50.0 g of water mass percent = mass of component * 100 total mass of soln Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 27 Sample Exercise: Calculate the mass percentage of NaCl in a solution containing 1.50 g of NaCl in 50.0 g of water mass percent = mass of component * 100 total mass of soln = 1.50 g NaCl *100 51.50 g soln Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 28 Sample Exercise: Calculate the mass percentage of NaCl in a solution containing 1.50 g of NaCl in 50.0 g of water mass percent = mass of component * 100 total mass of soln = 1.50 g NaCl *100 51.50 g soln =2.91 % Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 29 Sample Exercise: a commercial bleaching solution contains 3.62 mass percent sodium hypochlorite, NaOCl. What is the mass of NaOCl in a bottle containing 2500 g of bleaching solution? Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 30 Sample Exercise: a commercial bleaching solution contains 3.62 mass percent sodium hypochlorite, NaOCl. What is the mass of NaOCl in a bottle containing 2500 g of bleaching solution? mass percent = mass of component * 100 total mass of soln Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 31 Sample Exercise: a commercial bleaching solution contains 3.62 mass percent sodium hypochlorite, NaOCl. What is the mass of NaOCl in a bottle containing 2500 g of bleaching solution? mass percent = mass of component * 100 total mass of soln 3.62 % = x * 100 2500 g soln 3.62 % * 2500g = x Chap 13.4 100% Chem 106, Prof. T.L. Heise Expressing Concentration 32 Sample Exercise: a commercial bleaching solution contains 3.62 mass percent sodium hypochlorite, NaOCl. What is the mass of NaOCl in a bottle containing 2500 g of bleaching solution? mass percent = mass of component * 100 total mass of soln 3.62 % = x * 100 2500 g soln 3.62 % * 2500g = x Chap 13.4 100% 90.5 g NaOCl Chem 106, Prof. T.L. Heise Expressing Concentration 33 • mole fraction mole fraction = moles of component total moles of all components • symbol X is often used to represent mole fraction • molarity = moles of solute/L of solution molality = moles of solute/kg of solvent Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 34 Sample Exercise: What is the molality of a solution made by dissolving 36.5 g naphthalene, C10H8, in 428 g of toluene, C7H8? Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 35 Sample Exercise: What is the molality of a solution made by dissolving 36.5 g naphthalene, C10H8, in 428 g of toluene, C7H8? 1) molality = moles of solute kg of solvent Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 36 Sample Exercise: What is the molality of a solution made by dissolving 36.5 g naphthalene, C10H8, in 428 g of toluene, C7H8? 1) molality = moles of solute kg of solvent moles = 36.5 g C10H8 1 mol = 0.285 mol 128 g C10H8 Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 37 Sample Exercise: What is the molality of a solution made by dissolving 36.5 g naphthalene, C10H8, in 428 g of toluene, C7H8? 1) molality = moles of solute kg of solvent moles = 0.285 mol kg = 428g 1 kg = 0.428 kg 1000 g Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 38 Sample Exercise: What is the molality of a solution made by dissolving 36.5 g naphthalene, C10H8, in 428 g of toluene, C7H8? 1) molality = moles of solute kg of solvent moles = 0.285 mol = 0.285 mol kg = 0.428 kg 0.428 kg Chap 13.4 = 0.670 mol/kg Chem 106, Prof. T.L. Heise Expressing Concentration 39 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (a) the molality (b) the mole fraction of NaOCl Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 40 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (a) the molality mass % = mass of solute *100 mass of solution Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 41 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (a) the molality mass % = mass of solute *100 mass of solution 3.62% = mass of solute * 100 100 g solution Chap 13.4 * when not given an amount f solution, assume 100g. Chem 106, Prof. T.L. Heise Expressing Concentration 42 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (a) the molality mass of solute = 3.62 g molality = moles kg 3.62 g NaOCl 1 mol NaOCl = 0.0486 mol 74.44 g NaOCl Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 43 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (a) the molality molality = moles = 0.0486 mol = 0.505 mol kg 0.09638 kg kg Chap 13.4 *don’t forget we assumed 100 g of solution, so 3.62 g of NaOCl and 96.28 g water Chem 106, Prof. T.L. Heise Expressing Concentration 44 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (b) mole fraction of NaOCl Mole fraction = moles of solute total moles of components Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 45 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (b) mole fraction of NaOCl Mole fraction = moles of solute total moles of components 3.62 g NaOCl 1 mol NaOCl = 0.0486 mol 74.44 g NaOCl NaOCl 96.38 g H2O 1 mol H2O = 5.35 mol H2O 18 g H2O Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 46 Sample Exercise: A commercial bleach solution contains 3.62 mass percent NaOCl in water. Calculate (b) mole fraction of NaOCl Mole fraction = moles of solute total moles of components 0.0486 mol NaOCl = 0.00900 0.0486 mol NaOCl + 5.35 mol H2O Chap 13.4 Chem 106, Prof. T.L. Heise Colligative Properties 47 Certain physical properties of solutions differ from the pure solvent - lowering freezing point - raising boiling point - reduction of vapor pressure - alteration of osmotic pressure Chap 13.5 Chem 106, Prof. T.L. Heise Colligative Properties Vapor Pressure 48 Vapor pressure is the pressure exerted by the vapor on the surface when closed flask achieves equilibrium Chap 13.5 Chem 106, Prof. T.L. Heise Colligative Properties 49 Boiling Point Kb is the molal boiling point constant and is equal to 0.52°C/m - this constant is related to the number of dissolved particles Chap 13.5 Chem 106, Prof. T.L. Heise Colligative Properties 50 Freezing Point Kf is the molal boiling point constant and is equal to 1.87°C/m - this constant is related to the number of dissolved particles Chap 13.5 Chem 106, Prof. T.L. Heise Expressing Concentration 51 Sample Exercise: Calculate the freezing point of a solution containing 0.600 kg of CHCl3 and 42.0 g of eucalyptol, C10H18O, a fragrant substance found in the leaves of the eucalyptus tree. Chap 13.5 Chem 106, Prof. T.L. Heise Expressing Concentration 52 Sample Exercise: Calculate the freezing point of a solution containing 0.600 kg of CHCl3 and 42.0 g of eucalyptol, C10H18O, a fragrant substance found in the leaves of the eucalyptus tree. molality = moles of solute kg of solvent Chap 13.5 Chem 106, Prof. T.L. Heise Expressing Concentration 53 Sample Exercise: Calculate the freezing point of a solution containing 0.600 kg of CHCl3 and 42.0 g of eucalyptol, C10H18O, a fragrant substance found in the leaves of the eucalyptus tree. molality = moles of solute kg of solvent 42.0 g C10H18O 1 mol C10H18O = 0.273 mol 154 g C10H18O Chap 13.5 Chem 106, Prof. T.L. Heise Expressing Concentration 54 Sample Exercise: Calculate the freezing point of a solution containing 0.600 kg of CHCl3 and 42.0 g of eucalyptol, C10H18O, a fragrant substance found in the leaves of the eucalyptus tree. molality = moles of solute kg of solvent = 0.273 mol 0.600 kg Chap 13.5 = 0.455 m Chem 106, Prof. T.L. Heise Expressing Concentration 55 Sample Exercise: Calculate the freezing point of a solution containing 0.600 kg of CHCl3 and 42.0 g of eucalyptol, C10H18O, a fragrant substance found in the leaves of the eucalyptus tree. DTf = Kfm = 4.68(0.455) = 2.13°C Normal Tf = -63.5°C -2.13°C Chap 13.5 New Tf = -65.6°C Chem 106, Prof. T.L. Heise Expressing Concentration 56 Sample Exercise: Which of the following solutes will produce the largest increase in boiling point upon addition of 1 kg of water: 1 mol Co(NO3)2 2 mol KCl 3 mol C2H6O2 Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 57 Sample Exercise: Which of the following solutes will produce the largest increase in boiling point upon addition of 1 kg of water: 1 mol Co(NO3)2 DTf = Kfm = 1.87(1) = 1.87°C Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 58 Sample Exercise: Which of the following solutes will produce the largest increase in boiling point upon addition of 1 kg of water: 2 mol KCl DTf = Kfm = 1.87(4) = 7.48°C Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 59 Sample Exercise: Which of the following solutes will produce the largest increase in boiling point upon addition of 1 kg of water: 3 mol C2H6O2 DTf = Kfm = 1.87(3) = 5.61°C Chap 13.4 Chem 106, Prof. T.L. Heise Expressing Concentration 60 Sample Exercise: Which of the following solutes will produce the largest increase in boiling point upon addition of 1 kg of water: 1 mol Co(NO3)2 = -1.87 °C 2 mol KCl = -7.48 °C 3 mol C2H6O2 = -5.61 °C Chap 13.4 Chem 106, Prof. T.L. Heise Colligative Properties Osmotic Pressure 61 The net movement of solvent is always toward the solution with the higher solute concentration. The pressure needed to stop such movement is called osmotic pressure Chap 13.5 Chem 106, Prof. T.L. Heise Colligative Properties 62 Osmotic Pressure Chap 13.5 Chem 106, Prof. T.L. Heise Colloids 63 Chap 13.6