Chapter 13, Problem 13.59P

Interpretation Introduction

Interpretation:

Number of collisions per second of ${\text{H}}_2$ molecule has to be calculated.

Concept Introduction:

Gaseous molecules frequently collide and follow a zig-zag pathway. The mean path length thus tranversed by gaseous particles is called the mean free path. Mathematical expression of mean free path is as follows:

  $l=\frac{RT}{\left(\pi \sqrt{2}\right)d^2{N}_{\text{A}}P}$

Here.

$d$ represents diameter of the molecule.

$N_{\text{A}}$ represents Avogadro’s number.

$P$ represents pressure.

$R$ represents gas constant.

$T$ represents temperature.

$l$ represents mean free path

The formula to determine collision frequency is as follows:

  $z=\frac{v_{\text{rms}}}{l}$