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The equilibrium constant for : CN - + CH 3 COOH ⇌ HCN + CH 3 COO - is : ( G i v e n p K b f o r C N - = 4.69 a n d p K b f o r C H 3 C O O - = 2.25 )

Options

  1. A3.7 × 1 0 4
  2. B2.8 × 1 0 - 5
  3. C1.97 × 1 0 4
  4. D0.5 × 1 0 - 5

Correct answer

A. 3.7 × 1 0 4

Step-by-step solution

K eq. = HCN CH 3 COO - CN - CH 3 COOH ; K CH 3 COOH = CH 3 COO - H + CH 3 COOH ; K HCN = H + CN - HCN pK b   of   CN − = 4.69   ∴ pK HCN = 9.31   ;   K HCN = 4.9   × 10 − 10 pK CH 3 COOH = 4.75 ; K CH 3 COOH = 1.77 × 1 0 - 5 ∴ K eq. = K CH 3 COOH K HCN = 1.77 × 1 0 - 5 4.9 × 1 0 - 1 0 = 3.7 × 1 0 4

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