For a reverisble reaction `A hArr B`, if pre-exponential factor is same for both forward and backward reactions, show that `k_(eq) = e^(-DeltaH//RT)`, where `Delta H` is the heat of reaction.

Explanation

To solve the problem, we need to show that for a reversible reaction \( A \rightleftharpoons B \), if the pre-exponential factor is the same for both the forward and backward reactions, then the equilibrium constant \( k_{eq} \) is given by the expression:

\[ k_{eq} = e^{-\frac{\Delta H}{RT}} \]

where \( \Delta H \) is the heat of reaction.

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