For the equilibrium
PCl5 (g) == PCl3 (g) + Cl2 (g)
at 298 K, K = 1.8 x 10-7. What is ΔG° for the reaction?
ΔG° = -2.303 RT log K
= -2.303 x 8.31 JK-1 mol-1 x 298 K x log (1.8 x 10-7)
= -2.303 x 8.31 JK-1 mol-1 x 298 K x (0.0334 - 7)
= -2.303 x 8.31 x 298 K x (-6.9664) J mol-1
= + 39730 J mol-1
= + 39.73 kJ mol-1