Chapter 6, Problem 6.126QP

Interpretation Introduction

Interpretation: The gas molecules in a mixture of ${\text{CH}}_{\text{4}},{\text{NH}}_{\text{3}}$ and ${\text{N}}_{\text{2}}$ that are, on average, moving the fastest are to be determined.

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,

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

According to kinetic theory of molecular gases, gases are hitting continuously against the walls of container when the temperature increases. Hence their total energy also increases.

$\text{K}\text{.E}=\frac{1}{2}m{v}^2$

To determine: The gas molecules in a mixture of ${\text{CH}}_{\text{4}},{\text{NH}}_{\text{3}}$ and ${\text{N}}_{\text{2}}$ that are on average moving the fastest.