Chapter 3, Problem 3D.17E

(a)

Interpretation Introduction

Interpretation:

Location of most probable speed at each temperature has to be determined.

Concept Introduction:

Maxwell distribution curve shows the different fraction of gas molecules moves with different speeds. It also shows that heavy molecules have slow speed while lighter molecules have faster speeds. The formula to calculate faction of gas molecules with given speed $\left(v\right)$ at any instant of time is as follows:

  $f\left(v\right)=4\text{π}{\left(\frac{M}{2\text{π}RT}\right)}^{\text{3/2}}{v}^2{e}^{-M{v}^2\text{/2RT}}$

(b)

Interpretation Introduction

Interpretation:

The effect of temperature on fraction of molecules with most probable speed has to be determined.

Concept Introduction:

Refer to part (a).