J.R. S. answered 04/01/21
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∆G = ∆Gº + RT ln K
At equilibrium, ∆G = 0 and ...
∆Gº = -RT ln K
24.0 kJ/mol = -(0.008314 kJ/Kmol)(200K) ln K
ln K = 24.0 / -1.66 = -14.5
K = 5x10-7