Statement-1: Temperature of gas increases when its container is moved at constant speed.
Statement-2: The temperature of the gas is due to the random motion of its molecule.

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 analyze the two statements given in the question, we will evaluate each statement based on the principles of the kinetic theory of gases.

### Step 1: Evaluate Statement 1
**Statement 1:** "Temperature of gas increases when its container is moved at constant speed."

- According to the kinetic theory of gases, the temperature of a gas is a measure of the average kinetic energy of its molecules. The formula for the root mean square velocity (Vrms) of gas molecules is given by:

\[ V_{rms} = \sqrt{\frac{3RT}{m}} \]

where \( R \) is the gas constant, \( T \) is the temperature in Kelvin, and \( m \) is the mass of the gas molecules.

- If the container is moved at a constant speed, the gas molecules inside the container are still in random motion relative to each other. The motion of the container does not affect the relative motion of the gas molecules.

- Therefore, the temperature of the gas, which depends on the random motion of its molecules, will not change simply because the container is moved at a constant speed.

**Conclusion for Statement 1:** This statement is **false**.

### Step 2: Evaluate Statement 2
**Statement 2:** "The temperature of the gas is due to the random motion of its molecules."

- This statement aligns with the principles of kinetic theory. The temperature of a gas is indeed a measure of the average kinetic energy of the gas molecules, which is a result of their random motion.

- As the molecules move randomly and collide with each other, the frequency and energy of these collisions determine the temperature of the gas. More frequent and energetic collisions result in a higher temperature, while less frequent and less energetic collisions result in a lower temperature.

**Conclusion for Statement 2:** This statement is **true**.

### Final Conclusion
- **Statement 1:** False
- **Statement 2:** True

Thus, the correct answer is that Statement 1 is false and Statement 2 is true.