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 6.0 kcal/mol. Calculate the ratio of rate constants of the two reactions.
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To calculate the ratio of the rate constants of a non-catalyzed reaction and a catalyzed reaction, we can use the Arrhenius equation, which relates the rate constant (k) to the activation energy (Ea) and temperature (T). The Arrhenius equation is given by:
\[ k = A e^{-\frac{E_a}{RT}} \]
Where:
- \( k \) = rate constant
- \( A \) = Arrhenius constant (frequency factor)
- \( E_a \) = activation energy
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