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Question

With increase of pressure while keeping volume and temperature constant, the mean free path

A
Decreases
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B
Increases
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C
Does not change
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D
Becomes zero
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Solution

The correct option is A Decreases

For a given volume and temperature, density increases on increasing the pressure.
density, d = PMRT
Thus molecules get closer and hence mean free path decreases.
Detail discussion:
Mean free path is,
l = kBT2πd2p where d is diameter of the molecule and kB is Boltzmann constant
From PV = nRT, TP=nRV
One does not need to remember this formula. This has been shown just to increase the understanding.


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