Chapter 10, Problem 10.101SP

Interpretation Introduction

Interpretation:

The temperature when ${\text{O}}_{\text{2}}$ has average speed of $\text{230 km/h}$ is to be calculated.

Concept introduction:

In accordance with the kinetic-gas theory, the relation between average speed, temperature, and molar mass is as follows:

$u=\sqrt{\frac{3RT}{M}}$

Where

• $R$ is gas constant.
• $T$ represents temperature in kelvins.
• $M$ represents the molar mass in $\text{kg/mol}$.

Rearrange expression to calculate temperature as follows:

$T=\frac{u^{2}M}{3R}$