How does the value of ΔG° for a reaction relate to the equilibrium constant for the reaction?

Chemistry: Principles and Reactions
8th Edition
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:William L. Masterton, Cecile N. Hurley
Chapter12: Gaseous Chemical Equilibrium
Section: Chapter Questions
Problem 58QAP: For the system 2SO3(g)2SO2(g)+O2(g) K=1.32 at 627. What is the equilibrium constant at 555C?
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How does the value of ΔG° for a reaction relate to the equilibrium constant for the reaction?

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The relation between ΔG° for a reaction and the equilibrium constant is given by,

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