Chapter 10, Problem 10.100SP

Interpretation Introduction

Interpretation:

The temperature when the $\text{He}$ atoms have average speed as that of fastball that has a speed of $45\text{ m/s}$ 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:

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