Assertion (A) : A catalyst does not influences the values of equilibrium constant
Reason (R) : Catalyst influences the rate of both forward and backward reactions equally.

Options

A. If both (A) and (R) are correct, and (R) is the correct explanation for (A)
B. If both (A) and (R) are correct, but (R) is not the correct explanation of (A)
C. If (A) is correct, but (R) is incorrect
D. If (A) is incorrect, but (R) is correct.

Explanation

To solve the assertion and reason question, we will analyze both the assertion (A) and the reason (R) step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "A catalyst does not influence the values of the equilibrium constant."
- This is true because a catalyst speeds up both the forward and reverse reactions equally without changing the position of equilibrium. Therefore, the equilibrium constant remains unchanged.

2. **Understanding the Reason (R)**:
- The reason states that "A catalyst influences the rate of both forward and backward reactions equally."
- This is also true. A catalyst lowers the activation energy for both the forward and reverse reactions, thus increasing their rates equally.

3. **Connecting Assertion and Reason**:
- The reason provides a valid explanation for the assertion. Since a catalyst affects both the forward and reverse reactions equally, it does not change the ratio of the rate constants (kf and kb), which defines the equilibrium constant (K).
- The equilibrium constant (K) is expressed as K = kf / kb. Since both kf and kb are increased by the catalyst by the same factor, the equilibrium constant remains unchanged.

4. **Conclusion**:
- Both the assertion and the reason are correct, and the reason correctly explains the assertion.

### Final Answer:
- The assertion (A) is correct.
- The reason (R) is correct.
- The reason is the correct explanation for the assertion.