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Chemical Foundations of Life

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Worked examples

Worked example: acetic acid / sodium acetate buffer

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Question. How does a mixture of acetic acid (CH3COOHCH_3COOH) and sodium acetate (CH3COONaCH_3COONa) resist pH change when a strong acid, a strong base, or water is added?

Solution.

  1. Sodium acetate is a salt and dissociates completely: CH3COONa→CH3COO−+Na+CH_3COONa \rightarrow CH_3COO^- + Na^+ — this supplies a large, standing reservoir of the conjugate base, CH3COO−CH_3COO^-.
  2. Acetic acid is a weak acid, so it stays mostly undissociated: CH3COOH⇌CH3COO−+H+CH_3COOH \rightleftharpoons CH_3COO^- + H^+. The solution now holds both CH3COOHCH_3COOH and CH3COO−CH_3COO^- at reasonably similar concentrations — satisfying the conditions for a buffer.
  3. Add a strong acid (H+H^+): the reservoir of CH3COO−CH_3COO^- absorbs it — CH3COO−+H+→CH3COOHCH_3COO^- + H^+ \rightarrow CH_3COOH. H+H^+ is consumed converting conjugate base into acid, so pH barely changes.
  4. Add a strong base (OH−OH^-): the acid neutralizes it — CH3COOH+OH−→CH3COO−+H2OCH_3COOH + OH^- \rightarrow CH_3COO^- + H_2O. The acid is consumed converting into conjugate base and water, so pH barely changes.
  5. Dilute with water: [CH3COOH][CH_3COOH] and [CH3COO−][CH_3COO^-] both drop by the same factor, so their ratio is unchanged — by the Henderson-Hasselbalch equation, pH stays (nearly) the same.

Answer: Because CH3COOHCH_3COOH and CH3COO−CH_3COO^- are both present in reasonably similar amounts, any added H+H^+ or OH−OH^- is consumed converting one species into the other rather than accumulating freely in solution, so pH shifts only slightly.

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