Chapter 1, Problem 1.19NP

Interpretation Introduction

Interpretation:The pressure exerted by benzene for a molar volume of 2.00 L at 595 K with the help of Redlich-Kwong equation of state needs to be determined. Under these conditions, whether the attractive or repulsive portion of the potential dominant needs to be determined.

Concept Introduction: The ideal gas equation is the equation which 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.

The Redlich-Kwong equation is represented as follows:

  $\begin{array}{l}\text{P = }\frac{\text{R T}}{{\text{V}}_{\text{m}}\text{-b}}\text{ - }\frac{\text{a}}{\sqrt{\text{T}}{\text{V}}_{\text{m}}{\text{(V}}_{\text{m}}\text{+ b)}}\\ \text{P = }\frac{\text{n R T}}{{\text{V}}_{}\text{- nb}}\text{ - }\frac{{\text{n}}^{\text{2}}\text{a}}{\sqrt{\text{T}}{\text{V}}_{}\text{(V + nb)}}\end{array}$

Here, a and b are constants.