Chapter 1, Problem 1B.1ST

Interpretation Introduction

Interpretation:

The mean speed of the cars has to be calculated by using given ${\text{ν}}_{\text{rms}}\text{=}\text{50}\text{.2}\text{km}{\text{h}}^{\text{-1}}$.

Concept Introduction:

Mean speed:

The average speed of given molecules is known as mean speed the samples consisting of large numbers of molecules, the mean speed is slightly smaller than the r.m.s. speed.

    ${\text{ν}}_{\text{mean}}\text{=}\frac{{\text{ν}}_{\text{1}}{\text{+ν}}_{\text{2}}{\text{+ν}}_{\text{3}}\text{+}\cdot \cdot \cdot {\text{ν}}_{\text{N}}}{\text{N}}$

The relationship between mean speed and r.m.s. speed is,

      ${\text{ν}}_{\text{mean}}={\text{ν}}_{rms}\times 0.921$