The translational kinetic energy of an ideal gas depends only its

Options

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

Answer

To solve the question regarding the translational kinetic energy of an ideal gas, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Translational Kinetic Energy**:
- Translational kinetic energy (TKE) refers to the energy possessed by an object due to its motion in space. For an ideal gas, this energy is related to the motion of its molecules.

2. **Use the Formula for Translational Kinetic Energy**:
- The translational kinetic energy of an ideal gas can be expressed using the formula:
\[ \text{TKE} = \frac{3}{2} nRT \]
where:
- \( n \) = number of moles of the gas
- \( R \) = universal gas constant
- \( T \) = absolute temperature (in Kelvin)

3. **Analyze the Formula**:
- From the formula, we can see that the translational kinetic energy is directly proportional to the temperature \( T \). The constants \( \frac{3}{2} \) and \( R \) do not affect the dependence on temperature.

4. **Conclusion**:
- Since the translational kinetic energy of an ideal gas depends only on the temperature, we conclude that the correct answer to the question is that it depends on temperature.

5. **Select the Correct Option**:
- Among the given options (pressure, force, temperature, molar mass), the correct option is **temperature**.

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

---