# An ideal gas in a closed container is slowly heated. As its temperature increases, which of the following statement are true? (A)    The mean free path of the molecules decreases. (B)    the mean collision time between the molecules decreases. (C)    the mean free path remains unchanged. (D)     the mean collision time remain unchanged. Option: 1 (A) and (B) Option: 2 (A) and (D) Option: 3 (C) and (D) Option: 4 (B) and (C)

As Mean Free Path is given as

$\dpi{100} \boldsymbol{\lambda=\frac{1}{\sqrt{2} \pi N d^{2}}}$

where

d = Diameter of the molecule,
N = number of molecules per unit volume.

So Mean Free Path is independent of temperature so it will remain unchanged.

And relaxation time decreases as temperature increases.

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