Chapter 5, Problem 5.122SP

(a)

Interpretation Introduction

Interpretation:

The volume around each atom into which the center of another atom cannot penetrate , the excluded volume for 1 mole of the atoms and the volume compare with the sum of the volume of 1 mole of the atoms have to be explained.

Concept introduction:

The volume around each atom into which the centre of another atom cannot penetrate is called the excluded volume.  To determine the excluded volume, use the formula for volume of a sphere to calculate the volume of a sphere of radius $\text{2r}$

The atoms are spherical, the equation for the volume of a sphere is $\frac{\text{4}}{\text{3}}{\text{πr}}^{\text{3}}$

Multiply the excluded volume per molecule by Avogadro’s number to determine the excluded volume per mole.

Avogadro’s number is ${\text{N}}_{\text{A}}\text{=}\text{6}\text{.022}\text{×}{\text{10}}^{\text{23}}$

(b)

Interpretation Introduction

Interpretation:

The volume around each atom into which the center of another atom cannot penetrate , the excluded volume for 1 mole of the atoms and the volume compare with the sum of the volume of 1 mole of the atoms have to be explained.

Concept introduction:

The volume around each atom into which the centre of another atom cannot penetrate is called the excluded volume.  To determine the excluded volume, use the formula for volume of a sphere to calculate the volume of a sphere of radius $\text{2r}$

The atoms are spherical, the equation for the volume of a sphere is $\frac{\text{4}}{\text{3}}{\text{πr}}^{\text{3}}$

Multiply the excluded volume per molecule by Avogadro’s number to determine the excluded volume per mole.

Avogadro’s number is ${\text{N}}_{\text{A}}\text{=}\text{6}\text{.022}\text{×}{\text{10}}^{\text{23}}$