Chapter 1, Problem 1B.5ST

Interpretation Introduction

Interpretation:

The collision frequency for chlorine molecule in a sample of chlorine gas under the same conditions has to be calculate.

Concept Introduction:

Collision frequency:

Collision frequency is given by,

  $\begin{array}{l}Meanvelosity(v_{mean})=\sqrt{\text{2}}\times {\left(\frac{8RT}{\pi M}\right)}^{1/2}\\ \mathrm{Re}lvelosity(v_{rel})={\left(\frac{8RT}{\pi M}\right)}^{1/2}\\ \text{Mean free path}(\lambda )=\frac{\text{kT}}{{\text{2}}^{1/2}\text{σP}}\\ \text{collision}\text{frequency}\text{z}\text{=}\frac{{\text{σν}}_{\text{rel}}\text{P}}{\text{kT}}\\ \text{=}\frac{\sigma P}{kT}\text{×}\sqrt{\text{2}}\text{×}{\left(\frac{\text{8RT}}{\text{πM}}\right)}^{\text{1/2}}\\ \text{Where,}\\ \text{z-}\text{collision}\text{frequency}\\ {\text{σ}}_{}\text{-cross}\text{section}\\ {\text{P}}_{}\text{-pressure}\\ \text{k-}\text{boltzmann's constant}\\ \text{R-}\text{gas}\text{constant}\\ \text{T-}\text{temperature}\\ \text{M-mass}\end{array}$