Statement-1: Due to adiabatic free expansion temperature of real gas may increase.
Statement-2 : In adiabatic free expansion, temperature is always constant irrespective of real or ideal gas

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.

Explanation

To solve the question, we need to analyze both statements regarding adiabatic free expansion for ideal and real gases.

### Step-by-Step Solution:

1. **Understanding Adiabatic Free Expansion**:
- In an adiabatic process, there is no heat exchange with the surroundings (Q = 0).
- In free expansion, the gas expands into a vacuum, meaning there is no external pressure to do work against (W = 0).

2. **Applying the First Law of Thermodynamics**:
- The first law of thermodynamics states:
\[ Q = \Delta U + \Delta W \]
- For adiabatic free expansion, since \(Q = 0\) and \(W = 0\), we have:
\[ 0 = \Delta U + 0 \implies \Delta U = 0 \]

3. **Analyzing Ideal Gas**:
- For an ideal gas, the change in internal energy (\(\Delta U\)) is related to temperature:
\[ \Delta U = n \cdot C_v \cdot \Delta T \]
- Since \(\Delta U = 0\), it implies:
\[ \Delta T = 0 \]
- Therefore, the temperature remains constant during adiabatic free expansion for an ideal gas.

4. **Analyzing Real Gas**:
- For a real gas, while the work done is still zero and \(Q = 0\), the internal energy change (\(\Delta U\)) can depend on both temperature and volume.
- Thus, \(\Delta U = 0\) does not necessarily imply \(\Delta T = 0\) for real gases. The temperature may change with volume changes, meaning:
- The temperature of a real gas can either increase or decrease depending on its specific properties and the nature of the gas.

5. **Evaluating the Statements**:
- **Statement 1**: "Due to adiabatic free expansion, the temperature of a real gas may increase."
- This statement is **true** because the temperature can change in real gases during free expansion.
- **Statement 2**: "In adiabatic free expansion, the temperature is always constant irrespective of real or ideal gas."
- This statement is **false** because, while the temperature remains constant for ideal gases, it is not necessarily constant for real gases.

### Conclusion:
- **Correct Answer**: Statement 1 is true, and Statement 2 is false. Thus, the correct answer is **C**.