Instructions

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PRFUG.XLS

This workbook will fugacities using the Peng-Robinson Equation.

This workbook is related to PREOS.xls and works in a similar fashion.

Worksheets are protected. Values in blue may be changed without unlocking the spreadsheet, which will

permit most common calculations. The worksheets may easily be changed to use a different equation of state.

Copyright 1996-1997, Carl Lira

For use with "An Introduction to Applied Thermodynamics" by J.R. Elliott, C.T. Lira

www.egr.msu.edu/~lira/thermtxt.htm

Fugacities

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Peng-Robinson Equation of State (Mixture) Spreadsheet protected, but no password used.

Fugacities

kij

Component Tc (K) Pc (MPa) n-pentane n-hexane n-heptane

n-pentane 0.8168 469.7 3.369 0.249 - - -

n-hexane 0.1501 507.4 3.012 0.305 0.00076 - -

n-heptane 0.0331 540.3 2.736 0.349 0.00171 0.00061 -

Current State Roots

T (K) 322.29 Z V fugacity component fugacity coeff component fugacity(MPa) mixture

P (MPa) 0.101325 MPa n-pentane n-hexane n-heptane n-pentane n-hexane n-heptane A #NAME?

answers for three #NAME? #NAME? #NAME? Err:504 Err:504 Err:504 #NAME? #NAME? #NAME? B #NAME?

root region #NAME? #NAME?

#NAME? #NAME? #NAME? Err:504 Err:504 Err:504 #NAME? #NAME? #NAME? 8.314

& for 1 root region #NAME? #NAME? #NAME? Err:504 Err:504 Err:504 #NAME? #NAME? #NAME?

A

Tr Pr ac a b A B n-pentane n-hexane n-heptane

n-pentane 0.686161 #NAME? 0.741927 1.270924305 2069665.3 2630387.94 90.175 #NAME? #NAME? #NAME? #NAME? #NAME?

n-hexane 0.635179 #NAME? 0.819919 1.360626186 2701506.2 3675740.07 108.959 #NAME? #NAME? #NAME? #NAME? #NAME?

n-heptane 0.596502 #NAME? 0.880011 1.440833801 3372204.1 4858785.65 127.728 #NAME? #NAME? #NAME? #NAME? #NAME?

Solution to Cubic

#NAME?

p q If Negative, three unequal real roots,

#NAME? #NAME? #NAME? #NAME? #NAME? If Positive, one real root

Method 1 - For region with one real root

P Q Root to equation in x Solution methods are summarized

#NAME? #NAME? #NAME? in the appendix of the text.

Method 2 - For region with three real roots

m 3q/pm Roots to equation in x

#NAME? #NAME? #NAME? #NAME? #NAME? #NAME? #NAME?

zi

cm3/gmol

R(cm3MPa/molK)

Z3 + a2Z2 + a1Z + a0 =0

R = q2/4 + p3/27 =

a2 a1 a0

3*q1 q1