Statement-1 : `Delta H and Delta U` are the same for the reaction `H_(2)(g) + I_(2)(g) hArr 2 HI(g)`
And
Statement-2 : All reactants and products are in gaseous form.

Options

A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True, Statement-2 is True, Statement-2 is Not a correct explanation for Statement-1
C. Statement-1 is True, Statement-2 is False
D. Statement-1 is False, Statement-2 is True

Answer

To solve the question, we need to analyze both statements regarding the reaction \( H_2(g) + I_2(g) \rightleftharpoons 2 HI(g) \).

### Step-by-step Solution:

1. **Understanding the Reaction:**
The reaction involves two moles of gaseous reactants (\( H_2 \) and \( I_2 \)) producing two moles of gaseous product (\( 2 HI \)).

2. **Calculating Change in Moles (\( \Delta n \)):**
- The number of moles of products = 2 (from \( 2 HI \))
- The number of moles of reactants = 1 (from \( H_2 \)) + 1 (from \( I_2 \)) = 2
- Therefore, \( \Delta n = \text{moles of products} - \text{moles of reactants} = 2 - 2 = 0 \).

3. **Relating \( \Delta H \) and \( \Delta U \):**
- The relationship between enthalpy change (\( \Delta H \)) and internal energy change (\( \Delta U \)) is given by:
\[ \Delta H = \Delta U + \Delta n RT \]
- Since \( \Delta n = 0 \), the equation simplifies to:
\[ \Delta H = \Delta U + 0 \implies \Delta H = \Delta U \]
- This confirms that \( \Delta H \) and \( \Delta U \) are indeed the same for this reaction.

4. **Evaluating Statement 1:**
- Statement 1 claims that \( \Delta H \) and \( \Delta U \) are the same for the reaction. This is **true** based on our calculations.

5. **Evaluating Statement 2:**
- Statement 2 states that all reactants and products are in gaseous form. In this reaction, both \( H_2 \) and \( I_2 \) are gases, and \( 2 HI \) is also a gas. Hence, this statement is also **true**.

6. **Determining the Relationship Between the Statements:**
- While both statements are true, Statement 2 does not provide a correct explanation for Statement 1. The equality \( \Delta H = \Delta U \) is derived from the fact that \( \Delta n = 0 \), not merely because all species are gases.

### Final Conclusion:
- **Answer:** Both statements are true, but Statement 2 is not a correct explanation for Statement 1. Therefore, the answer is **B**: Statement 1 is true, Statement 2 is true, but Statement 2 is not a correct explanation for Statement 1.