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The ratio of an enzyme catalyzed reaction rate to the uncatalyzed rate (i.e. kcat/ kuncat) is equal to 10,000. Compute the amount, in kj/mol, by which the activation energy for the reaction is lowered by the enzyme.

Assume the free energy of the reactants is the same in both cases.

The temperature is 300 K and the gas constant R is 8.314 J / (mol K).

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