Hydrolysis of sucrose is glven by the following reactlon. Sucrose \(+\) \(H _{2} O \rightleftharpoons\) Glucose \(+\) Fructose If the equilibrium constant \(\left( K _{c}\right)\) is \(2 \times 10^{13}\) at \(300\, K\), the value of \(\Delta_{ r } G^{\Theta}\) at the same temperature will be:

1. A \(-8.314 \,J \,mol ^{-1} K ^{-1} \times 300 K \times \ln \left(4 \times 10^{13}\right)\)
2. B \(-8.314\, J\, mol ^{-1} K ^{-1} \times 300 K \times \ln \left(2 \times 10^{13}\right)\)
3. C \(8.314\, J\, mol ^{-1} K ^{-1} \times 300\, K \times \ln \left(2 \times 10^{13}\right)\)
4. D \(8.314\, J\, mol ^{-1} K ^{-1} \times 300 K \times \ln \left(3 \times 10^{13}\right)\)