Chapter 19, Problem 19.19E

Interpretation Introduction

Interpretation:

The equation 19.25 is to be verified.

Concept introduction:

The probability distribution function of the velocities of the gas molecules in each dimension is given by $g_x\left(v_x\right)$, $g_y\left(v_y\right)$ and $g_z\left(v_z\right)$. This is a vector quantity. This probability function in the range of $-\infty$ to $+\infty$ is represented by,

${\displaystyle \underset{-\infty }{\overset{+\infty }{\int }}{g}_x\left(v_x\right)d{v}_x}=1$