Chapter 3, Problem 3.55P

Interpretation Introduction

Interpretation:

Determine the molar volume of saturated liquid and saturated vapor for propane at $\text{ 313}{\text{.15 K and P}}^{sat}=13.71\text{bar}$ using Peng/Robinson equation and compare results with values found by suitable generalized correlations.

Concept Introduction:

These types of problem are solved by using given correlations and put value to find the determined value. The Peng/Robinson equations are an iterative procedure. So we will use hit and trial procedure and guess some values of $Z$ to achieve convergent value.

According to Peng/Robinson equations, the molar volume of saturated liquid can be found using formula:

  $V=\frac{ZRT}{P}$

Where
  $Z=\beta +(Z+\epsilon \beta )(Z+\sigma \beta )(\frac{1+\beta -Z}{q\beta })$

....(1)
According to Peng/Robinson equations, the molar volume of saturated vapor can be found using formula:

  $V=\frac{ZRT}{P}$

Where
  $Z=1+\beta -q\beta \frac{Z-\beta }{(Z+\epsilon \beta )(Z+\sigma \beta )}$

....(2)

Here

$\beta =\Omega \frac{P_r}{T_r}$ And $q=\frac{\phi \alpha (T_r)}{\Omega T_r}$