Chapter 5, Problem 54E

Interpretation Introduction

Interpretation:

The root mean square velocity and kinetic energy of $\text{CO,}{\text{CO}}_2$ and ${\text{SO}}_3$ at $298\text{K}$ is to be calculated; also the gas which has greatest root mean square velocity greatest kinetic energy and greatest rate of effusion out of the given gases is to be predicted.

Concept Introduction: The root mean square speed of the gas molecules is calculated by the formula,

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

The average kinetic energy of gas molecules is determined by using the formula,

$\text{K}{\text{.E}}_{\text{AV}}=\frac{3}{2}RT$

To determine: The root mean square velocity and kinetic energy of $\text{CO,}{\text{CO}}_2$ and ${\text{SO}}_3$ at $298\text{K}$ and the order of rate of effusion of these gases.