Chapter 3, Problem 3D.15E

Interpretation Introduction

Interpretation:

Ratio of number of $\text{He}$ atoms with speed $1477\text{ m}\cdot {\text{s}}^{-1}$ and number of $\text{Ar}$ atoms with speed $467\text{ m}\cdot {\text{s}}^{-1}$ has to be determined.

Concept Introduction:

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

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

Here,

$R$ is gas constant.

$T$ is absolute temperature of gas.

$M$ is molecular weight of gas.