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Consider the elementary reversible first-order opposing reaction . At a state of dynamic equilibriumChemical Kinetics Chemistry Question

Question

Consider the elementary reversible first-order opposing reaction $A \rightleftharpoons B$. At a state of dynamic equilibrium, how is the absolute thermodynamic equilibrium constant ($K_{eq}$) mathematically linked to the specific kinetic rate constants $k_f$ and $k_b$?

Answer: D

💡 Solution & Explanation

At dynamic equilibrium, the macroscopic rate of the forward reaction strictly equals the rate of the reverse decay: $k_f[A]_{eq} = k_b[B]_{eq}$. Rearranging this kinetic equality perfectly yields the thermodynamic constant: $K_{eq} = \frac{[B]_{eq}}{[A]_{eq}} = \frac{k_f}{k_b}$.

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