Chapter 1, Problem 1.3NP

Interpretation Introduction

Interpretation:The pressure exerted by Ar needs to be determined using the van der Waals equation of state. Whether the attractive or repulsive portion of the potential dominant needs to be determined.

Concept Introduction: The ideal gas equation is the equation that gives the relations between P,V, n and T of gases. It can be written as:

  $PV=nRT$

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature.

Usually, gases do not follow ideal behavior under all conditions of pressure, temperature and volumes. The relation of P, V, n and T of real gases can be given by Vander Waals equation as follows:

  $\left(\text{P + }\frac{{\text{n}}^{\text{2}}\text{a}}{{\text{V}}^{\text{2}}}\right)\left(\text{V- n b}\right)\text{ = nRT}$

Hence $\text{P = }\frac{\text{nRT}}{\text{ V-nb}}\text{ - }\frac{{\text{n}}^{\text{2}}\text{a}}{{\text{V}}^{\text{2}}}$