Chemistry

Chemistry

Problem

The activation energy for the forward and backward reactions are 10.303 and 8.0 kcal respectively at 500 K. Assuming pre exponential factor same for both forward and reverse reaction are same and R=2 calR = 2 \text{ cal} , the equilibrium constant for the reaction A⇌BA \rightleftharpoons B is : a. 10 b. 100 c. 1000 d. 0.1
Intuitive explanation

The equilibrium constant depends on the difference between forward and reverse activation energies—this difference tells you the overall energy change of the reaction. Since both reactions share the same pre-exponential factor, their rate constants depend only on their activation energies through the Arrhenius equation. The ratio of forward to reverse rate constants directly gives you KeqK_{eq}, and you can find it using ln⁡K=Eaforward−EareverseRT\ln K = \frac{E_a^{forward} - E_a^{reverse}}{RT}.

Intuitive explanation

The equilibrium constant depends on the difference between forward and reverse activation energies—this difference tells you the overall energy change of the reaction. Since both reactions share the same pre-exponential factor, their rate constants depend only on their activation energies through the Arrhenius equation. The ratio of forward to reverse rate constants directly gives you KeqK_{eq}, and you can find it using ln⁡K=Eaforward−EareverseRT\ln K = \frac{E_a^{forward} - E_a^{reverse}}{RT}.

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