Chapter 1, Problem 1C.7BE

(i)

Interpretation Introduction

Interpretation: The Boyle temperature of chlorine from the equation $T_B=a/Rb$ has to be calculated.

Concept introduction: The temperature at which the attractive forces and the repulsive forces which acts on the gas particles cancels out is known as the Boyle’s temperature.  At this temperature, the second virial coefficient becomes zero.

(ii)

Interpretation Introduction

Interpretation: The radius of a ${\text{Cl}}_{\text{2}}$ molecule has to be calculated.

Concept introduction: The closest distance of approach between molecules of radius, r and volume $\text{V}=\frac{4}{3}\pi r^3$ is 2r, so the excluded volume is $8{\text{V}}_{molecule}$.  The volume excluded per molecule is half of this volume, that is ${\text{4V}}_{molecule}$.