First slide

Mean free path formulae

Question

A rigid container contains some ideal gas. Mean free path of the molecules is $λ$ . If temperature of the gas is now doubled, mean free path of the molecules will be

Easy

A

2 $λ$
B

4 $λ$
C

6 $λ$
D

$λ$

Solution

Mean free path $λ = \frac{1}{\sqrt{2} π d^{2} x}$
where d= diameter of molecule
and n = Number of molecules per unit volume.
Since the volume of the container remains uncharged, ‘n’ remains unchanged and hence mean free path remains unchanged.

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