Determine the molar volume of saturated liquid and saturated vapor for propane at 313 .15 K and P s a t = 13.71 bar using Soave/Redlich/Kwong 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 Soave/Redlich/Kwong 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 Soave/Redlich/Kwong equations, the molar volume of saturated liquid can be found using formula: V = Z R T P Where Z = β + ( Z + ε β ) ( Z + σ β ) ( 1 + β − Z q β ) ....(1) According to Redlich/Kwong equations, the molar volume of saturated vapor can be found using formula: V = Z R T P Where Z = 1 + β − q β Z − β ( Z + ε β ) ( Z + σ β ) ....(2) Here β = Ω P r T r and q = φ α ( T r ) Ω T r

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Chapter 3, Problem 3.54P

Interpretation Introduction

Interpretation:

Determine the molar volume of saturated liquid and saturated vapor for propane at $313.15 K and Psat=13.71 bar$ using Soave/Redlich/Kwong 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 Soave/Redlich/Kwong 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 Soave/Redlich/Kwong equations, the molar volume of saturated liquid can be found using formula:

$V=ZRTP$

Where
$Z=β+(Z+εβ)(Z+σβ)(1+β−Zqβ)$

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

$V=ZRTP$

Where
$Z=1+β−qβZ−β(Z+εβ)(Z+σβ)$

....(2)

Here

$β=ΩPrTr$ and $q=φα(Tr)ΩTr$

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