Chapter 3, Problem 3.65P

Interpretation Introduction

Interpretation:

The pressure of vessel filled with ethylene in order to store 40 kg should be calculated.

Concept Introduction:

Pressure developed in vessel containing ethylene is calculated using virial coefficients i.e. Reduced forms of pressure and temperature.
The compressibility factor is calculated as follows

  $\begin{array}{l}Z=\frac{PV}{RT}\\ \frac{Z}{P_c}=\frac{\frac{p}{p_c}V}{RT}\\ Z=P_c\frac{P_{r}V}{RT}\mathrm{...}\left(1\right)\end{array}$

Here, $Z$ is the compressibility factor, $P_r$ is the reduced pressure, $R$ is the universal gas constant.

The Pitzer correlation for the compressibility factor is as follows:

  $\begin{array}{l}Z=Z^o+\omega Z^1\\ =\left(1+B^o\frac{P_r}{T_r}\right)+\omega \left(B^1\frac{P_r}{T_r}\right)\end{array}$

Here, $B^o$ and $B^1$are constant functions dependent on temperature.