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Chemistry · Ch 8 — Ionic Equilibrium

Buffer Action

8.7.1

Buffer Action

To resist pH changes on adding an acid or base, a buffer must contain both an acidic and a basic component that can neutralise the added stress without consuming each other. In a CH3COOHCH_3COOH/CH3COONaCH_3COONa buffer, CH3COOH(aq)⇌CH3COO−(aq)+H3O+(aq)CH_3COOH(aq) \rightleftharpoons CH_3COO^-(aq)+H_3O^+(aq): if acid is added, the extra H+H^+ is consumed by the conjugate base CH3COO−CH_3COO^- to re-form undissociated acid, so the pH barely drops; if base is added, the extra OH−OH^- is neutralised by H3O+H_3O^+, which the dissociating acetic acid immediately replenishes to maintain equilibrium, so the pH barely rises. These neutralisation reactions are exactly the ones already met under the common ion effect.

Worked buffer-action calculation: 0.01 mol NaOH added to a 0.8M/0.8M CH3COOH/CH3COONa buffer. One litre of a buffer contains 0.8M CH3COOHCH_3COOH and 0.8M CH3COONaCH_3COONa; KaK_a for CH3COOHCH_3COOH is 1.8×10−51.8\times10^{-5}. Before addition: since CH3COOHCH_3COOH dissociates only slightly and common-ion suppression makes it even smaller, [CH3COOH]≈0.8[CH_3COOH]\approx0.8 and [CH3COO−]≈0.8[CH_3COO^-]\approx0.8 (the salt fully dissociates and its concentration is already ≥\ge the acid's, so α\alpha is negligible), giving [H+]=Ka[CH3COOH][CH3COO−]=Ka0.80.8=Ka[H^+]=K_a\dfrac{[CH_3COOH]}{[CH_3COO^-]}=K_a\dfrac{0.8}{0.8}=K_a, so pH=−log⁡10(1.8×10−5)=5−log⁡101.8=5−0.26=4.74pH=-\log_{10}(1.8\times10^{-5})=5-\log_{10}1.8=5-0.26=4.74. After adding 0.01 mol NaOH to the 1 litre buffer (negligible volume change): the OH−OH^- consumes 0.01 mol of the acid, giving [CH3COOH]=0.8−0.01=0.79[CH_3COOH]=0.8-0.01=0.79 and [CH3COO−]=0.8+0.01=0.81[CH_3COO^-]=0.8+0.01=0.81; [H+]=1.8×10−5×0.790.81=1.76×10−5[H^+]=1.8\times10^{-5}\times\dfrac{0.79}{0.81}=1.76\times10^{-5}, so pH=5−log⁡101.76=5−0.25=4.75pH=5-\log_{10}1.76=5-0.25=4.75. The pH shifts only from 4.74 to 4.75 despite adding a strong base -- verifying buffer action. …

Misc 8.7.1-workedWorked buffer-action calculation: 0.01 mol NaOH added to a 0.8M/0.8M CH3COOH/CH3COONa buffer

Worked out. One litre of a buffer contains 0.8M CH3COOHCH_3COOH and 0.8M CH3COONaCH_3COONa; KaK_a for CH3COOHCH_3COOH is 1.8×10−51.8\times10^{-5}. Before addition: since CH3COOHCH_3COOH dissociates only slightly and common-ion suppression makes it even smaller, [CH3COOH]≈0.8[CH_3COOH]\approx0.8 and [CH3COO−]≈0.8[CH_3COO^-]\approx0.8 (the salt fully dissociates and its concentration is already ≥\ge the acid's, so α\alpha is negligible), giving [H+]=Ka[CH3COOH][CH3COO−]=Ka0.80.8=Ka[H^+]=K_a\dfrac{[CH_3COOH]}{[CH_3COO^-]}=K_a\dfrac{0.8}{0.8}=K_a, so pH=−log⁡10(1.8×10−5)=5−log⁡101.8=5−0.26=4.74pH=-\log_{10}(1.8\times10^{-5})=5-\log_{10}1.8=5-0.26=4.74. After adding 0.01 mol NaOH to the 1 litre buffer (negligible volume change): the OH−OH^- consumes 0.01 mol of the acid, giving [CH3COOH]=0.8−0.01=0.79[CH_3COOH]=0.8-0.01=0.79 and [CH3COO−]=0.8+0.01=0.81[CH_3COO^-]=0.8+0.01=0.81; [H+]=1.8×10−5×0.790.81=1.76×10−5[H^+]=1.8\times10^{-5}\times\dfrac{0.79}{0.81}=1.76\times10^{-5}, so pH=5−log⁡101.76=5−0.25=4.75pH=5-\log_{10}1.76=5-0.25=4.75. The pH shifts only from 4.74 to 4.75 despite addi …

Misc 8.7.1-eval8Evaluate yourself – 8: buffer-action problems

Worked out. Two parts: (a) explain buffer action in a basic buffer of equimolar NH4OHNH_4OH and NH4ClNH_4Cl -- added acid is consumed by NH4OHNH_4OH (forming more NH4+NH_4^+), added base is neutralised by NH4+NH_4^+ (releasing NH3/NH4OHNH_3/NH_4OH), so pH barely moves, by the same logic as the acidic-buffer case; (b) calculate the pH of a buffer of 0.4M CH3COOHCH_3COOH/0.4M CH3COONaCH_3COONa (equal concentrations, so pH=pKa=4.74pH=pK_a=4.74), and the pH change after adding 0.01 mol HCl to 500 mL of that buffer -- the added H+H^+ converts 0.01 mol of the salt back to acid, giving new concentrations of (0.2+0.01)/0.5=0.42(0.2+0.01)/0.5=0.42M acid and (0.2−0.01)/0.5=0.38(0.2-0.01)/0.5=0.38M salt, so $pH=4.74+\log_{10}(0.38/0.42)=4.74-0.043\app …