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(B) Statement $A$ is incorrect because molecular motion only ceases at absolute zero ($0 \ K$ or $-273.15^{\circ} C$).Statement $B$ is correct. The me

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$B$ and $C$ only

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(B) Statement $A$ is incorrect because molecular motion only ceases at absolute zero ($0 \ K$ or $-273.15^{\circ} C$).Statement $B$ is correct. The mean free path $\lambda$ is given by $\lambda = \frac{1}{\sqrt{2} \pi n d^2}$,where $n$ is the number density. If density $n$ increases,$\lambda$ decreases.Statement $C$ is correct. Using the ideal gas law $PV = N k_B T$,we have $n = \frac{N}{V} = \frac{P}{k_B T}$. Substituting this into the mean free path formula: $\lambda = \frac{k_B T}{\sqrt{2} \pi d^2 P}$. If $P$ is constant,$\lambda \propto T$,so $\lambda$ increases as $T$ increases.Statement $D$ is incorrect. The average kinetic energy per molecule per degree of freedom is $\frac{1}{2} k_B T$. The total average kinetic energy for a monoatomic gas is $\frac{3}{2} k_B T$.

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