QUESTION 4 where A is a pre-exponential RT parameter, R is the Ideal gas constan

Question

QUESTION 4 where A is a pre-exponential RT parameter, R is the Ideal gas constant, and EA is the activation energy. Use this equation to obtain an approximate expression for the dependence of the equilibrium constant for an elementary chemical reaction as a function of the activation energies for the direct and reverse elementary reactions. Assume that the pre-exponential parameter is equal for the forward and reverse reactions, the activation energy for the forward reaction is EA and the activation energy for the inverse reaction is EA What is the correcet expression for the equilibrium con as a function of the temperature?

Explanation / Answer

The forward reaction is having energy Ea and inverse reaction is having energy Ea',

For the forward reaction,

lnKf = lnA - Ea/RT

Kf = Ae^(-Ea/RT)

For the inverse reaction

lnKr = lnA - Ea;/RT

Kr = Ae^(-Ea'/RT)

Equilibrium constant will be Kf/Kr = Ae^(-Ea/RT)/Ae^(-Ea'/RT) = e^(-Ea/RT + Ea'/RT)

Hence the correct answer is Option B

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