The translational kinetic energy of an ideal gas depends only its

Options

A. Pressure
B. Force
C. Temperature
D. Molar mass

Answer

To determine the factors on which the translational kinetic energy of an ideal gas depends, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Kinetic Energy**: The translational kinetic energy (KE) of an ideal gas can be expressed using the formula:
\[ KE = \frac{3}{2} nRT \]
where \( n \) is the number of moles, \( R \) is the universal gas constant, and \( T \) is the absolute temperature in Kelvin.

2. **Identifying Variables**: In the equation, we can see that the kinetic energy depends on:
- \( n \) (number of moles)
- \( R \) (gas constant, which is a constant)
- \( T \) (temperature)

3. **Analyzing Dependencies**:
- The term \( R \) does not change for a given gas, so it does not affect the dependency.
- The number of moles \( n \) can vary, but it is not a direct property of the gas itself; rather, it is a function of the amount of gas present.
- The most significant factor that directly influences the translational kinetic energy is the temperature \( T \).

4. **Conclusion**: Since the translational kinetic energy of an ideal gas is primarily influenced by temperature, we conclude that:
- The translational kinetic energy of an ideal gas depends only on its temperature.

### Final Answer:
The translational kinetic energy of an ideal gas depends only on its **temperature**.