Hydrolysis of sucrose gives,
$Sucrose + H_{2} O ⇌ Glucose + Fructose$
$Equilibrium constant (K_{C}) for the reaction is 2 \times 10^{13}$
$at 300 K . Calculate ΔG ° at 300 K .$

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$7.64 \times 10^{4} J {mol}^{- 1}$

$- 7.64 \times 10^{4} J {mol}^{- 1}$

$3.52 \times 10^{5} {Jmol}^{- 1}$

$5.12 \times 10^{5} J {mol}^{- 1}$

answer is D.

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Detailed Solution

$ΔG ° = - {RTlnK}_{C} ∆ G^{o} = - 2.303 RT \log_{10} K_{C} = - 2.303 \times 8.314 J {mol}^{- 1} K^{- 1} \times 300 K \log (2 \times 10^{13}) = - 7.64 \times 10^{4} J {mol}^{- 1}$

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