The mean time between successive collision of an ideal gas $τ = \frac{1}{( 2 nπ d ^{2} ) v _{r m s}} \propto \frac{V}{T}$
In isobaric process $\frac{V}{T} =$ constant $\Rightarrow τ^{'} = 2 τ$

Question

The mean time between successive collision of an ideal gas

τ = \frac{1}{( 2 nπ d ^{2} ) v _{r m s}} \propto \frac{V}{T}

In isobaric process

\frac{V}{T} =

constant

\Rightarrow τ^{'} = 2 τ

Tardigrade Admin · Accepted Answer

The mean time between successive collision of an ideal gas τ=(1/(√2 n π d2) vrms) propto (V/√T) In isobaric process (V/T)= constant ⇒ τ'=√2τ

Q. The mean time between successive collision between the molecules of an ideal gas is $τ$ .If the gas is isobarically heated to twice its initial volume. As a result the mean time between successive collision between the molecule becomes.