The activation energy of a non–catalysed reaction at `37^@C` is 200 kcal/mol and the activation energy of the same reaction when catalysed decreases to only 60.0 kcal/mol. Calculate the ratio of rate constants of the two reactions.

Explanation

To solve the problem of finding the ratio of the rate constants of a non-catalyzed reaction and a catalyzed reaction, we will use the Arrhenius equation:

\[ k = A \cdot e^{-\frac{E_a}{RT}} \]

where:
- \( k \) is the rate constant,
- \( A \) is the Arrhenius constant,
- \( E_a \) is the activation energy,
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