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The dissociation constants for acetic acid and HCN at 25°C are 1.5 × 10⁻⁵ and 4.5 × 10⁻¹⁰ respectively. The equilibrium constant for the equilibrium CN⁻ + CH₃COOH ⇌ HCN + CH₃COO⁻ would be:

  1. 3.0 × 10⁻⁵
  2. 3.0 × 10⁻⁴
  3. 3.0 × 10⁴
  4. 3.0 × 10⁵

Correct answer: 3.0 × 10⁴

Solution

The equilibrium constant for the given reaction is the ratio of the dissociation constant of acetic acid (Ka of CH₃COOH) to that of HCN (Ka of HCN). Thus, K = (1.5 × 10⁻⁵) / (4.5 × 10⁻¹⁰) = 3.0 × 10⁴.

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