Chapter 19, Problem 19.20E

Interpretation Introduction

Interpretation:

The terms $g$, $G$, and $\Gamma$ are to be distinguished as the three probability functions defined in the derivation of the Maxwell-Boltzmann distribution.

Concept introduction:

The Maxwell-Boltzmann distribution is given by,

$G\left(v\right)dv=4\pi {\left(\frac{m}{2\pi kT}\right)}^{3/2}{v}^2\cdot e^{-m{v}^2/2kT}dv$

Where,

• $m$ is the mass of the system.

• $v$ is the average velocity.

• $k$ is the Boltzmann constant.

• $T$ is the temperature.

This distribution depends on the mass of the particle and absolute temperature.