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Question

Question: If the mean free path of atoms is doubled then the pressure of gas will become...

If the mean free path of atoms is doubled then the pressure of gas will become

A

P/4P/4

B

P/2P/2

C

P/8P/8

D

P

Answer

P/2P/2

Explanation

Solution

As λ=12kTπd2P\lambda = \frac{1}{\sqrt{2}}\frac{kT}{\pi d^{2}P}

P1λP \propto \frac{1}{\lambda} i.e. by increasing λ two times pressure will become half.