Chapter 4, Problem 4.14P

Interpretation Introduction

Interpretation:

Calculate the value of $B$ in $\frac{{\text{cm}}^3}{\text{mol}}$ using Clapeyron equation, measurements of latent heat of vaporization $\Delta H^{lv}$, saturated liquid volume $V^l$ and vapor pressure $P^{sat}$ .

Concept Introduction:

The Clapeyron equation contains all the terms latent heat of vaporization $\Delta H^{lv}$, saturated liquid volume $V^l$ and vapor pressure $P^{sat}$ . Using the Clapeyron equation, find saturated vapor volume $V^{vap}$ and using $V^{vap}$ find virial coefficient from standard definition.

The Clapeyron equation is

  $\Delta H^{lv}=T\Delta V\frac{d{P}^{sat}}{dT}$    ......(1)

Where $\Delta H^{lv}$ is latent heat of vaporization, $P^{sat}$ is vapor pressure and $\Delta V=V^{vap}-V^l$

The standard definition of virial coefficient is

  $Z=\frac{PV}{RT}=1+\frac{B}{V}$    ......(2)