Chapter 11.6, Problem 11PPB

Interpretation Introduction

Interpretation:

The molecular radius in picometer has to be calculated.

Concept introduction:

Use the formula for volume of a sphere to calculate the volume of a sphere of radius 2r. This is the excluded volume defined by two molecules.  Multiply the excluded volume per molecule by Avogadro’s number to determine excluded volume per mole.

The equation for volume of a sphere is $\frac{\text{4}}{\text{3}}{\text{πr}}^{\text{3}}\text{;}{\text{N}}_{\text{A}}\text{=6}\text{.022}\text{×}{\text{10}}^{\text{23}}$

Van der Waals equation:

We find the pressure by first solving algebraically for $\text{P}\text{.}$

$\text{P=}\frac{\text{nRT}}{\text{V-nb}}\text{-}\frac{{\text{an}}^{\text{2}}}{{\text{V}}^{\text{2}}}$