A: The reaction `2NO(g) +O_2(g) hArr 2NO_2(g)` is
favoured in the forward direction with increase of pressure.
R : The above reaction is exothermic .

Options

A. If both Assertion & Reason are true and the reason in the corret explanation of the assertion, then mark
B. If both assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark
C. If Assertion is true statement but Reason is false then mark
D. If both Assertion and Reason are false statements , then mark

Answer

To solve the question, we need to analyze the statements given:

**Statement A:** The reaction `2NO(g) + O2(g) ⇌ 2NO2(g)` is favored in the forward direction with an increase in pressure.

**Statement R:** The above reaction is exothermic.

### Step-by-Step Solution:

1. **Understanding the Reaction:**
- The balanced chemical equation is `2NO(g) + O2(g) ⇌ 2NO2(g)`.
- On the left side (reactants), we have 3 moles of gas (2 moles of NO and 1 mole of O2).
- On the right side (products), we have 2 moles of gas (2 moles of NO2).

2. **Applying Le Chatelier's Principle:**
- According to Le Chatelier's Principle, if we increase the pressure in a system at equilibrium, the equilibrium will shift towards the side with fewer moles of gas to minimize the change in pressure.
- In this case, the forward reaction produces 2 moles of NO2 from 3 moles of reactants. Therefore, increasing the pressure will favor the formation of NO2, which means the equilibrium will shift to the right.

3. **Evaluating Statement A:**
- Since the forward reaction (producing NO2) is favored with an increase in pressure, Statement A is **correct**.

4. **Determining if the Reaction is Exothermic:**
- The reaction involves the formation of NO2 from NO and O2. In combustion reactions, energy is typically released, indicating that the reaction is exothermic.
- If the reaction is exothermic, the enthalpy change (ΔH) is negative, which aligns with the idea that heat is released during the reaction.

5. **Evaluating Statement R:**
- Since the formation of NO2 from NO and O2 is indeed exothermic, Statement R is also **correct**.

6. **Conclusion:**
- Both statements A and R are correct. However, the relationship between the two statements is not direct; the effect of pressure is independent of whether the reaction is exothermic or endothermic.

### Final Answer:
Both statements A and R are correct, but they are not directly related.