Chapter 1, Problem 1B.7AE

(i)

Interpretation Introduction

Interpretation: The mean speed of ${\text{N}}_{\text{2}}$ molecules has to be calculated.

Concept introduction: The expression for the mean speed is derived from Maxwell Boltzmann distribution.  The mean speed for the gas particles is represented as,

  $v_{\text{mean}}={\left(\frac{8RT}{\pi M}\right)}^{1/2}$

(ii)

Interpretation Introduction

Interpretation: The mean free path of the ${\text{N}}_{\text{2}}$ molecules has to be calculated.

Concept introduction: The average distance between the collisions is called the mean free path.  The frequency of the collision is $z$  and the free flight time between collisions is  $1/z$ then, the mean free path is given by,

    $\lambda =\frac{kT}{\sigma p}$

(iii)

Interpretation Introduction

Interpretation: The collision frequency of ${\text{N}}_{\text{2}}$ molecules has to be calculated.

Concept introduction: Collision frequency is defined as the total number of collisions made by a molecule divided by the time during which the collisions occur.  It is represented by $z$.