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If $$n$$ is the number density and $$d$$ is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is represented by :
Mean free path is
$$λ=\frac{1}{\sqrt{\ 2nσ}}$$where
For molecules of diameter d,
$$\sigma=\pi d^2$$
So
$$λ=\frac{1}{\sqrt{\ 2n\pi\ d^2}}$$
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