Chapter 6, Problem 6.130QP

Interpretation Introduction

Interpretation: The root-mean-square speed of ${\text{N}}_{\text{2}}$ gas is given to be $\text{516}\text{.8}\text{m}/\text{s}$. By doubling the temperature does not double $u_{rms,{\text{N}}_{\text{2}}}$ is to be explained.

Concept introduction: The root-mean-square speed is used to find out the single value of speed of the gas molecules that move in random directions having different speed and the formula is,

$u_{rms}=\sqrt{\frac{3\text{R}T}{M}}$

To determine: The reason why doubling the temperature of ${\text{N}}_{\text{2}}$ gas does not double $u_{rms,{\text{N}}_{\text{2}}}$.