. 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° + RTlnQ
At equilibrium, ΔG = 0 and Q = KC
∴ 0 = ΔG° + RTlnKC ⇒ ΔG° = -RTlnKC = -8.314 J K-1 mol-1×300 K × ln(2 ×1013)
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