Hydrolysis of sucrose is given by the following reaction.

Sucrose + H₂O ⇌ Glucose + Fructose

If the equilibrium constant (K_C) is 2 × 10¹³ at 300 K, the value of Δ_rG at the same temperature will be :

(1) 8.314 J mol^–1K^–1 × 300 K × ln(2 × 10¹³)

(2) 8.314 J mol^–1 K^–1 × 300 K × ln(3 × 10¹³)

(3) –8.314 J mol^–1 K^–1× 300 K × ln(4 × 10¹³)

(4) –8.314 J mol^–1 K^–1 × 300 K × ln(2 × 10¹³)