Chapter 10, Problem 137AP

Interpretation Introduction

Interpretation:

The percent composition by volume of the given mixture is to be calculated.

Concept introduction:

The root mean square speed for the two molecules in two different gases at identical temperature comparative to each other is calculated as

$\frac{u_{\text{rms}}(1)}{u_{\text{rms}}(2)}=\frac{\sqrt{M_2}}{\sqrt{M_1}}$

Here, $u_{\text{rms}}(1)$ represents the root mean square speed of the heavy molecule, $M_1$ represents its molar mass, $u_{\text{rms}}(2)$ represents the root mean square speed of the lighter molecule, and $M_2$ represents its molar mass.

The sum of mole fraction of all the components is equal to one.