The mean free path ($\lambda$) of a gas molecule depends on the diameter ($d$) of the molecule as:
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Question

The mean free path ($\lambda$) of a gas molecule depends on the diameter ($d$) of the molecule as:

Accepted Answer

The mean free path is given by $\lambda = \frac{1}{\sqrt{2} n \pi d^2}$, which shows that $\lambda \propto \frac{1}{d^2}$.

Kinetic Theory