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Can catalysts appear in the experimentally determined rate law? If so, just to clarify, intermediates cannot appear in the experimentally determined rate law, but can appear in the calculation of K (equilibrium constant), but catalysts can appear in both the experimentally determined rate law and the calculation of K (equilibrium constant)?
A catalyst operates by lowering the activation energy of a certain reaction. Therefore, it affects the overall rate of the reaction. It does not, however, affect the equilibrium composition. Both the forward and reverse reactions are accelerated due to the catalyzed path. Therefore the equilibrium constant is unchanged.
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