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).