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Review pH pH is a measure of the concentration of H+ in the solution. (Chapter 15.4) pH = -log[H+] What is the pH of a 0.100 M solution of HNO3? Chemistry 103 Spring 2011 Equilibrium of weak acids and weak bases (Chapter 15.5 and 15.7) What is the pH of 0.100 M CH3COOH? CH3COOH(aq) + H2O(l) H3O+(aq) + CH3COO-(aq) I: C: Eq: Kc = Kacid = [H3O+][A-] / [HA] = Ka acid ionization constant: Ka, an equilibrium constant for a weak acid. Ka = x= pH = -log[H3O+] = 2 Chemistry 103 Spring 2011 % ionization = amount ionized x 100% amount initial (total) % ion. for 0.100 M CH3COOH = [H3O+]equilibrium [CH3COOH]init = 1.34 x 10-3 M / 0.100 M x 100% = 1.34% (% ionization is also called % dissociation) Practice: What is the pH and % ionization of 0.200 M hydrocyanic acid (HCN)? 3 Chemistry 103 Spring 2011 CH3COOH vs. HA -COOH = functional group = carboxylic acid (p. 544, Section 15.2) Lewis structure HA emphasizes the acidic proton, but can also be confusing. CH3COOH(aq) + H2O(l) H3O+(aq) + CH3COO-(aq) HA(aq) + H2O(l) H3O+(aq) + A-(aq) 4 Chemistry 103 Spring 2011 Equilibrium is similar for weak bases … What is [OH-] of 0.150 M CH3NH2? I: CH3NH2 + H2O(l) 0.150 M CH3NH3+ + OH- C: Eq: Kc = [CH3NH3+][OH-] / [CH3NH2] = Kbase = Kb 5 Chemistry 103 Spring 2011 -NH2 and variations = functional group = amine (p. 545, Section 15.2) Lewis structures of -NH2 and variations To emphasize the base reaction: CH3NH3+ + OH- CH3NH2 + H2O(l) B + H2O(l) BH+ + OH- base ionization constant: Kb, an equilibrium constant for a weak base. Kb = [BH+][OH-] / [B] 6 Chemistry 103 Spring 2011 More pH (Chapter 15.3 and 15.4) Why is the pH of water at 25 °C equal to 7? Because water itself ionizes in small amounts. H2O(l) + H2O(l) H3O+(aq) + OH-(aq) K = [H3O+][OH-] = Kwater = Kw H2O(l) + H2O(l) H3O+(aq) + OH-(aq) I: C: Eq: At 25 °C, [H3O+] is measured to be 1.0 x 10-7 M. Kw = 7 Chemistry 103 Spring 2011 Kw = [H3O+][OH-] = 1.0 x 10-14 Le Chatelier: What happens if more H+ is added to water? What happens if more OH- is added to water? The equilibrium of water, H3O+ and OH- means if we know either the concentration of H3O+ or the concentration of OH- in an aqueous solution, then we know the concentration of the other. Example: What is the pH of 0.150 M CH3NH2? 8 Chemistry 103 Spring 2011 An alternative method … Kw = [H3O+][OH-] = 1.0 x 10-14 -logKw = -log[H3O+] + -log[OH-] = -log(1.0 x 10-14) pKw = pH + pOH = 14 Example: What is the pH of 0.150 M CH3NH2? 9 Chemistry 103 Spring 2011 Practice: Calculate the pH of 0.010 M NaOCl. 10 Chemistry 103 Spring 2011 Review of some unit conversions Example: 0.63% by weight SnF2 1. weight % = mass fraction x 100% 0.63% = mass fraction x 100% mass fraction = 0.63% / 100% = 0.0063 (grams of SnF2 / grams of solution = 0.0063) 2. molarity = moles solute / L of solution • Assume water is the solvent • Assume 100 grams of solution to simplify math • Assume the solution is dilute enough that we can treat the 100 grams of solution as 100 grams of water => 100 grams = 100 mL = 0.100 L. mass fraction = 0.0063 grams SnF2 1 gram of solution mass fraction = 0.63 grams of SnF2 100 grams of solution 11 Chemistry 103 Spring 2011 molarity = 0.63 g SnF2 x (1 mole / 156.707 g) 0.100 L of solution molarity = 0.040 M 3. 1 ppm = 1 g solute / 106 g solution ppm is similar to mass fraction => ratio of grams solute / grams solution Conversion factor: 1 ppm x 106 g solution = 1 1 g solute Convert mass fraction to ppm: 0.0063 g solute x 1 ppm x 106 g solution = 1 g solution 1 g solute ppm = 0.0063 x 106 ppm ppm = 6.3 x 103 ppm Note: same as ppm = mass fraction x 106 ppm 12