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According to the kinetic theory of gases,
A. The motion of the gas molecules freezes at 0°C
B. The mean free path of gas molecules decreases if the density of molecules is increased.
C. The mean free path of gas molecules increases if temperature is increased, keeping pressure constant.
D. Average kinetic energy per molecule per degree of freedom is $\frac{3}{2} k_{B} T$ (for diatomic gases)
Choose the most appropriate answer from the options given below:

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A and B only

A and C only

C and D only

B and C only

answer is B.

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Detailed Solution

$λ = \frac{K_{B} T}{\sqrt{2} {πd}^{2} P}$

for P = constant,

$λ \propto T$

Also, $λ = \frac{m}{\sqrt{2} {πd}^{2} ρ}$

$λ \propto \frac{1}{ρ}$

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