First slide

Mean free path

Question

If the mean free path is doubled, then the pressure of the gas at constant temperature becomes

Moderate

A

P/4
B

P/2
C

P/8
D

P

Solution

$λ = \frac{1}{\sqrt{2}} \frac{k T}{π d^{2} P} α \frac{1}{P}$ (at constant temperature).
$λ α \frac{1}{P} \frac{λ_{1}}{λ_{2}} = \frac{P_{2}}{P_{1}} = \frac{2 P}{P} λ_{2} = \frac{λ_{1}}{2}$

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