In this problem the Peng-Robinson equation is used to model n-octane at 5 bar and 500 K. For n-octane, Tc=568.70 K, Pc=24.90 bar and ?=0.399. The three solutions for the molar volume of n-octane at this temperature and pressure are:
V = 249.58 cm3/mol, 648 cm3/mol, and 7270 cm3/mol
A) Calculate the values of the Peng-Robinson parameters ‘a’ and ‘b’ for octane at T=500 K.
B) Calculate the fugacity of n-octane in the liquid and vapor phases at 500 K and 5 bar, according to the Peng-Robinson equation. If you have no answer to part A, use a=4.5x107 bar cm6 mol-2 and b = 150 cm3/mol
C) Based on your answer to part B, is the vapor pressure of octane at 500 K greater than, or less than, 5 bar?
Since f^V
ln(f/P)=??G-?G?^ig/RT
Therefore, the vapor pressure must be higher than 5 bar (the pressure at which the fugacity values were calculated).
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