Calculate the value of ΔGo in kJ for the reaction at 589 K.

Question

At a certain temperature, 589 K, K_p for the reaction,

2 SO₂(g) + O₂(g) <=> 2 SO₃(g) is 4.67 x 10²⁸.

Calculate the value of ΔG^o in kJ for the reaction at 589 K.

The correct answer is -323

Answer 1

∆Gº = - RT ln K

∆Gº = - (0.008314)(589) ln 4.67x10²⁸

∆Gº = - 4.897 x 66.0

∆Gº = -323 kJ