Chapter 3, Problem 3D.2BST

Interpretation Introduction

Interpretation:

Value of $v_{\text{rms}}$ of ${\text{CH}}_4$ has to be determined.

Concept Introduction:

Root mean square speed is square root of average value of square of molecular speeds of gas molecules. It includes molecular weight and temperature, both of which affect kinetic energy of gas. It is denoted by $v_{\text{rms}}$. The expression for $v_{\text{rms}}$ is as follows:

  $v_{\text{rms}}=\sqrt{\frac{3RT}{M}}$        (1)

Here,

$v_{\text{rms}}$ is root mean square speed.

$R$ is universal gas constant.

$T$ is absolute temperature of gas.

$M$ is molecular weight of gas.