Enzymes accelerate reaction rates by 10 7 to 10 17 compared to the uncatalyzed reactions. The ratio of the rate of the catalyzed reaction to the rate of the uncatalyzed reaction ( rate cat / rate uncat ) is known as the rate enhancement. The rate enhancement can be related to the difference in the free energies of activation. Note: The difference in the free energies of activation, or Δ G ∘ ‡ uncat – Δ G ∘ ‡ cat , can be expressed more succinctly as Δ Δ G ∘ ‡ . Δ Δ G ∘ ‡ = R T ln ( rate cat rate uncat ) From the given rates, calculate the rate enhancement and the Δ Δ G ∘ ‡ in kilojoules per mole at T = 25 ∘ C . Enter each answer as a whole number. Uncatalyzed rate = 10 − 6 s − 1 Catalyzed rate = 10 2 s − 1 R = 8.3145 J / ( K ⋅ mol )