The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are $3 imes 10^{-7

Question

The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are $3 	imes 10^{-7} \mathrm{~m}$ and $600 \mathrm{~m} / \mathrm{s}$, respectively. Find the frequency of its collisions.\

Professor PC Thomas Classes · Answer

(d) : $T=300 \mathrm{~K}, P=1 \mathrm{~atm}, \lambda=3 	imes 10^{-7} \mathrm{~m}$, $v=600 \mathrm{~m} / \mathrm{s}$ 
$ f=\frac{1}{T}=\frac{v}{\lambda}=\frac{600}{3 	imes 10^{-7}}=2 	imes 10^{9} \mathrm{sec}^{-1} . $