Chapter 6, Problem 6.127QP

Interpretation Introduction

Interpretation: The ratio of the root-mean-square speed of ${\text{D}}_{\text{2}}$ to that of ${\text{H}}_{\text{2}}$ at constant temperature is to be predicted.

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,

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

Here, the root-mean-square speed is directly proportional to the square root of the temperature and inversely proportional to the square root of the molar mass of the given gas.

To determine: The ratio of the root-mean-square speed of ${\text{D}}_{\text{2}}$ to that of ${\text{H}}_{\text{2}}$ at constant temperature.