Chapter 10, Problem 115SCQ

Interpretation Introduction

Interpretation:

The $\text{rms}$ speed of a gas should be determined under the given condition that if absolute temperature of the gas gets doubled.

Concept introduction:

Effusion:

The movement of gas particles through a small hole is defined as effusion.  The rate of effusion for a gas is inversely proportional to the square root of the mass of gas particles.

The root mean square velocity $\mu$ is defined as the measure of velocity of particle in gas. It is the method to determine the single velocity value for particles.

Root mean square velocity can be determined,

  ${\mu }_{rms}={\left(\frac{3RT}{M}\right)}^{1/2}$ (1)

  $\begin{array}{l}\left(\text{gas constant}\right)R=\frac{8.314J}{Kmol}\\ M=Molarmass\end{array}$

Molar mass: The molar mass of a substance is determined by dividing the given mass of substance by the amount of the substance.