A proposed mechanism for a reaction `ArarrB` is
`A underset(k_(2))overset(k_(1))hArr C " " C underset(k_(4))overset(k_(3))hArr B`
Determine the expresison for the equilibrium constant for the overall reaction in terms of the rate constants.

Explanation

To determine the expression for the equilibrium constant for the overall reaction \( A \rightleftharpoons B \) in terms of the rate constants, we can follow these steps:

### Step 1: Analyze the First Equilibrium
The first part of the mechanism is:
\[ A \overset{k_1}{\rightleftharpoons} C \]

For this reaction, the equilibrium constant \( K_1 \) can be expressed as:
\[
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