Weak Acids and Bases Weak Acids – weak electrolytes that do not ionize completely to form H+ ions Examples: HF, H2CO3, H2S, H3BO3 Weak Bases – a compound that that reacts incompletely with water to form OHions according to the following equation: B:(aq) + H2O(l) ↔ OH-(aq) + HB+(aq) where B: is a base To act as a Brønsted-Lowry base, a compound must possess an atom with a lone pair of valence electrons. This lone pair accepts an H+ ion (remember bases are proton acceptors) from water to form OH-(aq). This is why the base is represented as B: According to Le Châtelier’s principle, the hydroxide ions added to water cause a shift to the left in the autoionization of water, decreasing the hydroxide ion concentration and producing a pH greater than 7. H2O(l) ↔ OH-(aq) + H+(aq) Examples: ammonia, sodium phosphate The classic example is ammonia with its lone pair of electrons: NH3(g) + H2O(l) ↔ NH4+(aq) + OH-(aq) base acid Determining the Percent Ionization of Weak Acids 1.3% HC2H3O2(aq) + H2O(l) ↔ C2H3O2-(aq) + H3O+(aq) p = concentration of acid ionized x 100% concentration of acid solute p = percent ionization p = [H+(aq)] x 100% [HA(aq)] or [H+(aq)] = p x [HA(aq)] 100 [HA(aq)] = conc. of the acid In 0.1 mol/l Acetic Acid (HC2H3O2(aq)) [H+(aq)] = 1.3 x [0.1 mol/L] 100 + [H (aq)] = 1.3 x 10-3 mol/L Since pH = - log [H+(aq)] pH = -log(1.3 x 10-3 mol/L) = 3.75 Sample Question: The pH of a 0.10 mol/L methanoic acid solution is 2.38. Calculate the percent ionization of methanoic acid. HCO2H(aq) + H2O(l) ↔ HCO2-(aq) + H3O+(aq) Or more easily stated: HCO2H(aq) ↔ HCO2-(aq) + H+(aq) pH = 2.38, therefore [H+(aq)] = 10-pH [H+(aq)] = 10-2.38 [H+(aq)] = 4.2 x 10-3 mol/L [H+(aq)] = p x [HCO2H(aq)] [HCO2H(aq)] = concentration of the acid 100 p= [H+(aq)] x 100% [HCO2H(aq)] p = 4.2 x 10-3 mol/L x 100% = 4.2% 0.1 mol/L Ionization Constants for Weak Acids Ka = acid ionization constant (equilibrium constant for the ionization of an acid) HC2H3O2(aq) ↔ H+(aq) + C2H3O2-(aq) Ka = [H+(aq)][C2H3O2-(aq)] [HC2H3O2(aq)] see page 554 to calculate Ka from percent ionization Ionization Constants for Weak Bases Kb = base ionization constant (equilibrium constant for the ionization of a base) NH3(g) + H2O(l) ↔ NH4+(aq) + OH-(aq) Kb = [NH4+(aq)][OH-(aq)] [NH3(g)][H2O(l)] Kb = [NH4+(aq)][OH-(aq)] [NH3(g)] Relationship between Ka and Kb KaKb = Kw Kb = Kw Ka (Hess’ Law is used to calculate this on page 559/560) Ka = Kw Kb remember Kw = 1 x 10-14 See page 561 (and appendix C7) for determining Ka given Kb See page 563 – 568 to determine the pH of an acid given Ka