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

`A underset(k_(b))overset(k_(f))hArr B`
`k_(f) = Ae^(E_(a)//RT)`
`k_(b) = Ae^(E_(b)//RT)`
`:. k_(eq) = (k_(f))/(k_(b)) = e^(E_(b)-E_(f)//RT)`
`= e^(-Delta H//RT)` `(because = Delta H = E_(f) - E_(b))`