The kinetic energy of one mole of any gas depends upon

Options

A. pressure of the gas
B. nature of the gas
C. volume of the gas
D. absolute temperature of the gas

Answer

To determine what the kinetic energy of one mole of any gas depends upon, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Kinetic Energy of Gases**:
The kinetic energy (KE) of a gas is associated with the motion of its particles. For one mole of an ideal gas, the kinetic energy can be expressed using the formula:
\[ KE = \frac{3}{2} nRT \]
where:
- \( KE \) = Kinetic energy
- \( n \) = Number of moles (which is 1 in this case)
- \( R \) = Universal gas constant
- \( T \) = Absolute temperature of the gas (in Kelvin)

2. **Substituting for One Mole**:
Since we are considering one mole of the gas, we can simplify the equation:
\[ KE = \frac{3}{2} RT \]
This shows that the kinetic energy is directly proportional to the absolute temperature \( T \).

3. **Analyzing the Factors**:
- **Pressure of the Gas**: While pressure can affect the behavior of gases, it does not directly influence the kinetic energy as described by the kinetic theory.
- **Nature of the Gas**: Different gases have different molar masses, but the kinetic energy formula does not depend on the nature of the gas in terms of its chemical identity.
- **Volume of the Gas**: Similar to pressure, volume does not directly affect the kinetic energy of the gas particles.
- **Absolute Temperature of the Gas**: This is the critical factor. As the absolute temperature increases, the kinetic energy of the gas particles also increases.

4. **Conclusion**:
From the analysis above, we conclude that the kinetic energy of one mole of any gas depends primarily on the absolute temperature of the gas.

### Final Answer:
The kinetic energy of one mole of any gas depends upon the **absolute temperature of the gas**.