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

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C and D only

A and C only

B and C only

A and B only

answer is B.

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Detailed Solution

According to kinetic theory of gases,
A. the motion of the gas molecules freezes at 0 $K$ .
B. the mean free path decrease on increasing the number density of the Molecules as $μ = \frac{K T}{\sqrt{2} π n d^{2}} \Rightarrow μ \propto \frac{1}{n}$
C. the mean free path increase on increasing the volume. Now if temperature is increase by keeping the pressure constant the volume should increase that is mean free path increases
D. $K . E ._{a v g}$ per molecules per degree of freedom is $\frac{1}{2} k_{B} T$

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