The mean free path for a gas, with molecular diameter d and number density n can be expressed as :
12nπd\frac{1}{\sqrt{2} n \pi d}2nπd1
12nπd2\frac{1}{\sqrt{2} n \pi d^2}2nπd21
12n2πd2\frac{1}{\sqrt{2} n^2 \pi d^2}2n2πd21
12n2π2d2\frac{1}{\sqrt{2} n^2 \pi^2 d^2}2n2π2d21
According to the kinetic theory of gases, the mean free path λ=12nπd2\lambda = \frac{1}{\sqrt{2} n \pi d^2}λ=2nπd21.
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