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Reverse Reaction Equilibrium

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The equilibrium constant (Kc) for the reaction shown below is 4.17x 10-34 at 25°C.
2 HCl(g) = H2(g) + Cl2(g)
What is the equilibrium constant for the following reaction at the same temperature?
H2(g) + Cl2(g) = 2 HCl(g)

Why isn't it the same Kc? Is it the inverse?

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This solution explains how to calculate the equilibrium constant of a reverse reaction.

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confusing with equilibrium
The equilibrium constant (Kc) for the reaction shown below is 4.17x 10-34 at 25°C.
2 HCl(g) = ...

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