Summary of Reactions of the members of the conjugate pair, HA/A-, in water
•Acid Dissociation:
HA(aq) + H2O <===> H3O+(aq) + A-(aq) Keq = Ka(HA) = [H3O+][A-]/[HA]
•Reverse of Acid Dissociation:
A-(aq) + H3O+(aq) ® HA(aq) + H2O Keq = 1/Ka(HA) <===> [HA]/[H3O+][A-]
•Base hydrolysis:
A-(aq) + H2O <===> HA(aq) + OH-(aq) Keq = Kb(A-) = Kw/Ka(HA) = [HA][OH-]/[A-]
•Reverse of Base Hydrolysis:
HA(aq) + OH-(aq) ® H2O + A-(aq) Keq = 1/Kb(A-) = [A-]/[HA][OH-]
Kw is the equilibrium constant for autoionization of water: 2H2O <===> H3O+(aq) + OH-(aq)
Example: HF/F-
HF(aq) + H2O <===> H3O+(aq) + F-(aq) Keq = Ka(HF) = [H3O+][A-]/[HF] = 6. 5 x 10-4
F-(aq) + H3O+(aq) ® HF(aq) + H2O Keq = 1/Ka(HF) = [HF]/[H3O+][F-] = 1.5 x 103
F-(aq) + H2O <===> HF(aq) + OH-(aq) Keq = Kb(F-) = Kw/Ka(HF) = [HF][OH-]/[F-]
= 1.5 x 10-11
HF(aq) + OH-(aq) ® H2O + F-(aq) Keq = 1/Kb(F-) = [F-]/[HF][OH-] = 6.5 x 1010