Chemistry 12 Keq = equilibrium constant Ksp = solubility product Kw = eqb exp for ionization of water Ka = acid ionization constant Kb = base ionization constant Using Kw to calculate unknown [H3O+] and [OH-] from a strong acid or a strong base. Eg.) At 250C an HCl solution has a concentration of 0.0100 M. What is the [OH-]? HCl + H20 ↔ H3O+ + Cl- [H3O+] = 0.0100 M [H3O+][OH-] 0.0100 [OH-] = Kw M [OH-] = 1.00 x 10-14 = 1.00 x 10-12 M What is the Ka expression for oxalic acid? (Hint: use the table) H2O(l) + H2C2O4(aq) ↔ H3O+(aq) + HC2O4-(aq) Ka = [H3O+][HC2O4-] [H2C2O4] What is the equilibrium equation for HC2O4acting as a base and the corresponding Kb expression? HC2O4-(aq) Kb + H2O(l) ↔H2C2O4(aq) +OH-(aq) = [H2C2O4][OH-] [HC2O4-] What is Ka value for the following? (simply use the table) H2C2O4 HC2O4- Ka = 5.9 x 10-2 Ka = 6.4 x 10 -5 …but solving for Kb is not that easy. What is the Kb value of HPO42-? … get out your B-L Table and follow along. We must use the Ka value of H2PO4to determine Kb of HPO42- HPO42- is acting as an acid HPO42- is acting as a base Ka value of HPO42- so we cannot use this to calculate Kb Kb of HPO42- = Kw/ Ka(H2PO4-) = 10-14/6.2 x 10-8 = 1.6 x10-7 You should notice that this is the Ka value of the conjugate acid for HPO42- Kb for HC2O4-? Find HC2O4- on right side of table Ka = 5.9 x 10 -2 Kw = Ka x Kb Actually Ka of H2C2O4 1.0 x 10-14 = 5.9 x 10 -2 x Kb Kb = 1.7 x 10-13 Why do we use the formula Kw = Ka x Kb? H2O(l) + HC2O4-(aq) ↔ H3O+(aq) + C2O42-(aq) Acid dissociation Base dissociation This can be explained using HC2O4- but other weak acids could also be used To get Kb we must figure out the base dissociation equation of C2O42-. H2O(l) + HC2O4-(aq) ↔ H3O+(aq) + C2O42-(aq) Invert H3O+(aq) + C2O42-(aq) ↔ H2O(l) + HC2O4-(aq) + OH- (aq) ↔ OH-(aq) 2 H2O(l) H2O(l) + C2O42-(aq) ↔ OH-(aq) + HC2O4-(aq) H2O(l) + C2O42-(aq) ↔ OH-(aq) + HC2O4-(aq) H2O(l) + HC2O4-(aq) ↔ H3O+(aq) + C2O42-(aq) Kb = [HC2O4-][OH-] [C2O42-] Ka = [H3O+][C2O42-] [HC2O4-] if Kb = [HC2O4-][OH-] [C2O42-] Ka = [H3O+][C2O42-] [HC2O4-] Then Ka x Kb [HC2O4-][OH-] [C2O42-] x [H3O+][C2O42-] [HC2O4-] Ka x Kb = [OH-][H3O+] = Kw Can you calculate [H3O+] and [OH-] of a strong acid or base using Kw? Can you write equilibrium equations for weak acids and bases? Can you write out Ka and Kb expressions? Can you find Ka on the B-L table? Can you calculate Kb using the B-L table? Read & Highlight Self Notes p. 3 - 5 Hebden # 31-37