Question

For a gas at a particular temperature on an average, the quantity which remains same for all molecules is

• A. velocity
• B. momentum
• C. kinetic energy
• D. angular momentum

Hint:

In kinetic theory: \[ \bar{K}\propto T \] Average kinetic energy is the quantity directly linked with temperature.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Temperature is a macroscopic measure of the average microscopic translational energy of the gas particles.
Step 2: Key Formula or Approach:
Mean Kinetic Energy $= \frac{3}{2} k_B T$.
Step 3: Detailed Explanation:
While individual velocities and momenta vary according to a distribution, the average kinetic energy depends only on the absolute temperature for an ideal gas.
Step 4: Final Answer:
Kinetic energy remains the same on an average.