Assertion (A) : The value of K increases with increase in temperature in case of endothermic reaction
Reason (R) : The increase in temperature shifts the equilibrium in the backward direction in case of exothermic reaction.

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 question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step 1: Understand the Assertion (A)
The assertion states: "The value of K increases with increase in temperature in case of endothermic reaction."

**Analysis:**
- For an endothermic reaction, heat is absorbed. According to Le Chatelier's principle, if the temperature is increased, the equilibrium will shift in the direction that absorbs heat (the forward direction for endothermic reactions).
- This means that the equilibrium constant (K) does increase with an increase in temperature for endothermic reactions.

### Step 2: Understand the Reason (R)
The reason states: "The increase in temperature shifts the equilibrium in the backward direction in case of exothermic reaction."

**Analysis:**
- For an exothermic reaction, heat is released. If the temperature is increased, the equilibrium will shift in the direction that releases heat (the backward direction for exothermic reactions).
- This statement is correct as it aligns with Le Chatelier's principle.

### Step 3: Evaluate the Relationship Between A and R
Now we need to determine if R correctly explains A.

- The assertion A is actually correct because the value of K increases for endothermic reactions with an increase in temperature.
- The reason R is also correct, but it does not explain the assertion A. Instead, it relates to exothermic reactions.

### Conclusion
- Assertion (A) is correct.
- Reason (R) is correct but does not explain (A).

Thus, the correct option is **C**: A is correct but R is incorrect.

### Final Answer:
The correct option for this question is C: A is correct but R is incorrect.

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