Chapter 1, Problem 1B.5P

Interpretation Introduction

Interpretation: The fraction of molecules that have a speed in a range $△v$ at the speed $n{v}_{\text{mp}}$ relative to those in the same range at $v_{\text{mp}}$ itself has to be calculated.  The ratio fraction of molecules for $n=3$ and $n=4$ has to be calculated.

Concept introduction: Root mean square speed is the average of squares of speed in the square root.  This speed is represented as,

  $v_{\text{mp}}=\sqrt{\frac{3RT}{M}}$

Where,

$R$ is the gas constant.

$T$ is the temperature.

$M$ is the molar mass of the gas.