Assertion : The equilibrium constant for the reverse reaction is equal to the inverse of the equilibrium constant for the forward reaction .
Reason : The value of equilibrium constant is independent of initial concentrations of the reactants and products.

Options

A. If both assertion and reason are true and reason is the correct explanation of assertion.
B. If both assertion and reason are true but reason is not the correct explanation of assertion.
C. If assertion is true but reason is false.
D. If both assertion and reason are false.

Explanation

To solve the assertion-reason question, we will analyze both the assertion and the reason step by step.

### Step 1: Understanding the Assertion
The assertion states that "The equilibrium constant for the reverse reaction is equal to the inverse of the equilibrium constant for the forward reaction."

- For a general reaction:
\[ A + B \rightleftharpoons C + D \]
Let the equilibrium constant for the forward reaction be \( K_f \). The equilibrium constant expression is given by:
\[ K_f = \frac{[C][D]}{[A][B]} \]

- For the reverse reaction:
\[ C + D \rightleftharpoons A + B \]
The equilibrium constant for the reverse reaction, \( K_r \), is:
\[ K_r = \frac{[A][B]}{[C][D]} \]

- By rearranging the expression for \( K_f \), we find:
\[ K_r = \frac{1}{K_f} \]

Thus, the assertion is **true**.

### Step 2: Understanding the Reason
The reason states that "The value of the equilibrium constant is independent of initial concentrations of the reactants and products."

- The equilibrium constant \( K \) is defined at a specific temperature and is dependent on the concentrations of the reactants and products at equilibrium, not their initial concentrations.

- This means that regardless of the starting amounts of reactants and products, once the system reaches equilibrium, the ratio defined by the equilibrium constant will remain the same.

Thus, the reason is also **true**.

### Step 3: Relationship Between Assertion and Reason
While both the assertion and the reason are true statements, the reason does not correctly explain the assertion. The assertion is about the relationship between forward and reverse reactions, while the reason discusses the independence of the equilibrium constant from initial concentrations.

### Conclusion
Both the assertion and the reason are true, but the reason does not correctly explain the assertion. Therefore, the correct answer is:

**Option B: Both assertion and reason are true, but reason is not the correct explanation of assertion.**

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