The mean free path of the molecules of a gas kept in a rigid closed container is . If the absolute temperature is doubled while the volume stays fixed, the mean free path:

⚛️ Physics · Kinetic Theory · NEET & JEE

The mean free path of the molecules of a gas kept in a rigid closed container is λ. If the absolute temperature is doubled while the volume stays fixed, the mean free path:

Answer: remains unchanged.

A doubles
B halves
C becomes four times
D remains unchanged

Correct answer: D. remains unchanged

Explanation: Mean free path depends only on number density (λ = 1/√2 πd<sup>2</sup>n). Fixed volume means fixed n, so λ is unchanged.

Not all gas molecules move at the same speed - the Maxwell-Boltzmann distribution shows the spread, with the most probable speed v_p slightly less than the average v_avg, which is slightly less than the root-mean-square speed v_rms used in the pressure formula.

Concept context

Kinetic theory of gases connects molecular motion to pressure and temperature, explaining gas laws, specific heats, and molecular speeds.

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The mean free path of the molecules of a gas kept in a rigid closed container is &lambda;. If the absolute temperature is doubled while the volume stays fixed, the mean free path:

Concept context

More Kinetic Theory questions

The mean free path of the molecules of a gas kept in a rigid closed container is λ. If the absolute temperature is doubled while the volume stays fixed, the mean free path: