Increase in temperature of a gas filled in a container would lead to :

Options

A. (a) decrease in intermolecular distance
B. (b) increase in its mass
C. (c) increase in its kinetic energy
D. (d) decrease in its pressure

Explanation

To solve the question regarding the effect of an increase in temperature of a gas filled in a container, we can analyze the options provided:

1. **Understanding the Relationship Between Temperature and Kinetic Energy**:
- The kinetic energy (KE) of gas molecules is directly proportional to the temperature of the gas. This relationship can be expressed mathematically as:
\[ KE \propto T \]
- Here, \(T\) is the absolute temperature of the gas.

2. **Analyzing the Options**:
- **Option A: Decrease in intermolecular distance**: As temperature increases, gas molecules move faster and tend to spread apart rather than come closer together. Therefore, this option is incorrect.
- **Option B: Increase in its mass**: The mass of the gas does not change with temperature. This option is incorrect.
- **Option C: Increase in its kinetic energy**: As established, an increase in temperature leads to an increase in the kinetic energy of the gas molecules. This option is correct.
- **Option D: Decrease in its pressure**: According to the ideal gas law (PV = nRT), if the volume of the container is constant and the temperature increases, the pressure must increase. Therefore, this option is incorrect.

3. **Conclusion**:
- The correct answer is **Option C: Increase in its kinetic energy**.

### Step-by-Step Solution:
1. **Identify the relationship between temperature and kinetic energy**: Recognize that kinetic energy is directly proportional to temperature.
2. **Evaluate each option based on the principles of gas behavior**:
- Option A: Incorrect, as molecules move apart with increased temperature.
- Option B: Incorrect, as mass remains constant regardless of temperature.
- Option C: Correct, as kinetic energy increases with temperature.
- Option D: Incorrect, as pressure increases with temperature in a constant volume scenario.
3. **Select the correct option**: Conclude that the increase in temperature of a gas leads to an increase in its kinetic energy.