Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as
, where
is the volume of the gas. The value of
is 
Text Solution
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We know that, average time of collision between molecules,

where,
number of molecules per unit volume and
rms velocity of molecules.

Thus, we can write
and 
where,
and
are constants.

For adiabatic process,
constant

Thus, we can write


As, given the average time of collision between molecules increases as
, so on comparing, we get

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