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Chemistry · Ch 3 — Ionic Equilibria

Salts of weak acids and weak bases

3.7.6

Salts of weak acids and weak bases

When salt BA of weak acid HA and weak base BOH is dissolved in water, it dissociates completely as

BA(aq)→B+(aq)+A−(aq)\mathrm{BA(aq)} \rightarrow \mathrm{B^{+}(aq)} + \mathrm{A^{-}(aq)}

The hydrolysis reaction involves the interaction of both the ions of the salt with water,

B+(aq)+A−(aq)+H2O⇌BOH(weak base)+HA(weak acid)\mathrm{B^{+}(aq)} + \mathrm{A^{-}(aq)} + \mathrm{H_2O} \rightleftharpoons \underset{\text{(weak base)}}{\mathrm{BOH}} + \underset{\text{(weak acid)}}{\mathrm{HA}}

The solution may turn out acidic, basic or neutral depending on the relative strength of weak base and weak acid formed in the hydrolysis.

i. if, Ka>KbK_a > K_b, the solution will be acidic.

ii. if, Ka<KbK_a < K_b, the solution will be basic.

iii. if, Ka=KbK_a = K_b, the solution will be neutral.

i. Salt of weak acid and weak base for which Ka>KbK_a > K_b. NH4F\mathrm{NH_4F} is a salt of weak acid HF (Ka=7.2×10−4K_a = 7.2 \times 10^{-4}) and weak base NH4OH\mathrm{NH_4OH} (Kb=1.8×10−5K_b = 1.8 \times 10^{-5}). Here, KaK_a is greater than KbK_b. The salt hydrolyses as

NH4+(aq)+F−(aq)+H2O⇌NH4OH(aq)(weak base)+HF(aq)(weak acid)\mathrm{NH_4^{+}(aq)} + \mathrm{F^{-}(aq)} + \mathrm{H_2O} \rightleftharpoons \underset{\text{(weak base)}}{\mathrm{NH_4OH(aq)}} + \underset{\text{(weak acid)}}{\mathrm{HF(aq)}}

The acid HF is slightly stronger than base NH4OH\mathrm{NH_4OH}. The two ions react with water as

NH4+(aq)+2H2O(l)⇌NH4OH(aq)+H3O+(aq)...(3.19)\mathrm{NH_4^{+}(aq)} + 2\mathrm{H_2O}(l) \rightleftharpoons \mathrm{NH_4OH(aq)} + \mathrm{H_3O^{+}(aq)} \qquad \text{...(3.19)}

F−(aq)+H2O(l)⇌HF(aq)+OH−(aq)...(3.20)\mathrm{F^{-}(aq)} + \mathrm{H_2O}(l) \rightleftharpoons \mathrm{HF(aq)} + \mathrm{OH^{-}(aq)} \qquad \text{...(3.20)}

The NH4+\mathrm{NH_4^{+}} ions hydrolyse to a slightly greater extent than the F−\mathrm{F^{-}} ions. That means the reaction (3.19) produces more H3O+\mathrm{H_3O^{+}} ions than the OH−\mathrm{OH^{-}} ions produced in reaction (3.20). In other words, NH4+\mathrm{NH_4^{+}} ions are slightly stronger as acid than F−\mathrm{F^{-}} ions as base. The solution of NH4F\mathrm{NH_4F} is thus only slightly acidic and turns blue litmus red.

ii. Salt of weak acid and weak base for which Ka<KbK_a < K_b : NH4CN\mathrm{NH_4CN} is the salt of weak acid HCN (Ka=4.0×10−10K_a = 4.0 \times 10^{-10}) and weak base NH4OH\mathrm{NH_4OH} (Kb=1.8×10−5K_b = 1.8 \times 10^{-5}) showing that Ka<KbK_a < K_b. When NH4CN\mathrm{NH_4CN} is dissolved in water, it hydrolyses as

NH4+(aq)+CN−(aq)+H2O(l)⇌NH4OH(aq)(weak base)+HCN(aq)(weak acid)\mathrm{NH_4^{+}(aq)} + \mathrm{CN^{-}(aq)} + \mathrm{H_2O}(l) \rightleftharpoons \underset{\text{(weak base)}}{\mathrm{NH_4OH(aq)}} + \underset{\text{(weak acid)}}{\mathrm{HCN(aq)}}

The base NH4OH\mathrm{NH_4OH} is stronger than the acid HCN. The ions of the salt react with water as,

NH4+(aq)+2H2O(l)⇌NH4OH(aq)+H3O+(aq)...(3.21)\mathrm{NH_4^{+}(aq)} + 2\mathrm{H_2O}(l) \rightleftharpoons \mathrm{NH_4OH(aq)} + \mathrm{H_3O^{+}(aq)} \qquad \text{...(3.21)}

CN−(aq)+H2O(l)⇌HCN(aq)+OH−(aq)...(3.22)\mathrm{CN^{-}(aq)} + \mathrm{H_2O}(l) \rightleftharpoons \mathrm{HCN(aq)} + \mathrm{OH^{-}(aq)} \qquad \text{...(3.22)}

Note

The book prints Eq. (3.21) with a single H2O\mathrm{H_2O} on the left, which does not balance; its own Eq. (3.19) for the same hydrolysis correctly uses 2H2O2\mathrm{H_2O}. We give the balanced form here.

The CN−\mathrm{CN^{-}} ions hydrolyse to a greater extent than NH4+\mathrm{NH_4^{+}} ions. The reaction (3.22) produces more OH−\mathrm{OH^{-}} ions than the H3O+\mathrm{H_3O^{+}} ions produced in reaction (3.21). The solution of NH4CN\mathrm{NH_4CN} is, basic and turns red litmus blue.

iii. Salt of weak acid and weak base for which Ka=KbK_a = K_b. CH3COONH4\mathrm{CH_3COONH_4} is a salt of weak acid, CH3COOH\mathrm{CH_3COOH} (Ka=1.8×10−5K_a = 1.8 \times 10^{-5}) and weak base, NH4OH\mathrm{NH_4OH} (Kb=1.8×10−5K_b = 1.8 \times 10^{-5}).

When the salt CH3COONH4\mathrm{CH_3COONH_4} is dissolved in water, it undergoes hydrolysis : …