Each question given below contains STATEMENT -1 (Assertion) and STATEMENT -2 (Reason). It has four choice (a), (b), ( c ) and (d) out of which ONLY ONE is correct . Choose the correct option as under :
Statement -1. Equilibrium constant of an endothermic reaction increases with increase of temperature .
Statement -2. With increase in temperature , an endothermic reaction is favoured more in the forward direction.

Explanation

To solve the question, we need to analyze both statements provided:

**Statement 1 (Assertion):** The equilibrium constant of an endothermic reaction increases with an increase in temperature.

**Statement 2 (Reason):** With an increase in temperature, an endothermic reaction is favored more in the forward direction.

### Step-by-Step Solution:

1. **Understanding Endothermic Reactions:**
- An endothermic reaction is one that absorbs heat, which means the enthalpy change (ΔH) for the reaction is positive (ΔH > 0).

2. **Equilibrium Constant and Temperature:**
- The equilibrium constant (K) for a reaction can be expressed in terms of temperature using the van 't Hoff equation:
\[ \ln K = -\frac{\Delta H}{R} \cdot \frac{1}{T} + C \]
- From this equation, we can see that if the temperature (T) increases, the term \(-\frac{\Delta H}{RT}\) becomes less negative (or more positive), leading to an increase in K.

3. **Conclusion on Statement 1:**
- Since K increases with an increase in temperature for an endothermic reaction, **Statement 1 is true.**

4. **Effect of Temperature on Reaction Direction:**
- According to Le Chatelier's principle, if we increase the temperature of an endothermic reaction, the system will shift in the direction that absorbs heat (the forward direction).
- This means that more products are formed when the temperature increases.

5. **Conclusion on Statement 2:**
- Since the forward reaction is favored with an increase in temperature for an endothermic reaction, **Statement 2 is also true.**

6. **Relationship Between Statements:**
- Statement 2 provides a valid explanation for Statement 1. The increase in the equilibrium constant (K) due to temperature increase is because the forward reaction is favored.

### Final Answer:
Both statements are true, and Statement 2 is the correct explanation for Statement 1. Therefore, the correct option is **(a)**.

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