Chapter 10, Problem 10.30P

Interpretation Introduction

Interpretation:

Estimate Z, H^R, and S^R for an equimolar vapor mixture of propane and n-pentane.

Concept introduction:

Compressibility factor (Z) can be defined as the ratio of real gas volume to ideal gas volume as described in equation 3.36:

  $Z=\frac{PV}{RT}=1+\frac{BP}{RT}$

Residual properties in thermodynamics is the difference between real gas property and ideal gas property at the same temperature, pressure and composition.

Equation 6.55, 6.56 and 10.62 mentioned in question are:

  $\begin{array}{l}\frac{H^R}{RT}=\frac{P}{R}\left(\frac{B}{T}-\frac{dB}{dT}\right)\\ \frac{S^R}{R}=-\frac{P}{R}\frac{dB}{dT}\\ B=y_1^2{B}_{11}+2y_1{y}_2{B}_{12}+y_2^2{B}_{22}\end{array}$