Chapter 10.16, Problem 1PPA

Interpretation Introduction

Interpretation:

The relative root mean square speeds of ${\text{O}}_2$ and ${\text{SF}}_6$, at a given temperature, is to be calculated.

Concept introduction:

The relative root mean square speed for the two molecules in two different gases at the same temperature can be 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 value of the heavier molecule, $M_1$ represents its molar mass, $u_{\text{rms}}(2)$ represents the root mean square value of the lighter molecule, and $M_2$ represents its molar mass.