. Hydrolysis of sucrose is given by the following reaction Sucrose


 Sucrose + H2O ⇌ Glucose + Fructose If the equilibrium constant (KC) is 2×1013 at 300 K, the value of ΔrG° at the same temperature will be

(a) - 8.314 J mol-1 K-1× 300 K × ln⁡(2×1013)

(b)  8.314 J mol-1 K-1× 300 K × ln(⁡2×1013)

(c)  8.314 J mol-1 K-1× 300 K × ln⁡(3×1013)

(d) - 8.314 J mol-1 K-1× 300 K × ln⁡(4×1013)

Best Answer

Correct Option is  (a) :

ΔG = ΔG° + RTln⁡Q

At equilibrium, ΔG = 0 and Q = KC

∴ 0 = ΔG° + RTln⁡KC ⇒ ΔG° = -RTln⁡KC = -8.314 J K-1 mol-1×300 K × ln⁡(2 ×1013)

 

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