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Question

(C) The mean free path $(\lambda)$ is the average distance traveled by a gas molecule between successive collisions.The formula for the mean free path

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$d^{-2}$

Vedclass · Answer

(C) The mean free path $(\lambda)$ is the average distance traveled by a gas molecule between successive collisions.The formula for the mean free path is given by:$\lambda = \frac{k_B T}{\sqrt{2} \pi d^2 P}$where $k_B$ is the Boltzmann constant, $T$ is the temperature, $d$ is the molecular diameter, and $P$ is the pressure.From the formula, it is evident that the mean free path is inversely proportional to the square of the molecular diameter:$\lambda \propto \frac{1}{d^2}$Therefore, $\lambda \propto d^{-2}$.Thus, option $(C)$ is correct.

The mean free path of gas molecules depends on $(d =$ molecular diameter$)$

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