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For the auto-ionization of water at 25°C, H2O(l) ⇌ H^+(aq) + OH^-(aq) equilibrium constant is 10-14. What is ΔG° for the process?

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For the auto-ionization of water at 25°C,

H2O(l) ⇌ H+(aq) + OH-(aq)

equilibrium constant is 10-14. What is ΔG° for the process?

(a) ≃8 × 104 J mol-1

(b) ≃3.5 × 104 J mol-1

(c) ≃2 × 104 J mol-1

(d) None of these

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Correct answer: (a) ≃8 × 104 J mol-1

Explanation:

ΔG° = -RT lnK

= -8.314JK-1mol-1 × 298 K × 2.303 log 10-14

= 7.98 × 104 ≃ 8 × 104 J mol-1

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