Home Physics Kinetic Theory of Gases All Topic Question for Revision Test Consider an ideal gas confined in an isolate…
Physics Kinetic Theory of Gases All Topic Question for Revision Test MCQ (Single Correct)

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as , where is the volume of the gas. The value of is

A
B

C
D

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The correct answer is:
C

We know that, average time of collision between molecules,

where, number of molecules per unit volume and rms velocity of molecules.

Thus, we can write and

where, and are constants.

For adiabatic process, constant

Thus, we can write

As, given the average time of collision between molecules increases as , so on comparing, we get

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