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Question 7.4.6: Calculation of the Fugacity of a Liquid Using the Peng-Robin...

Calculation of the Fugacity of a Liquid Using the Peng-Robinson Equation of State
Compute the fugacity of pure liquid n-pentane and pure liquid benzene at 373.15 K and 50 bar using the Peng-Robinson equation of state.

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Using one of the Peng-Robinson equation-of-state programs in Appendix B on the website for this book with the liquid (high-density) root, we obtain for n-pentane

 

ZPE(373.15 K,P=50bar)=0.2058fPE(373.15 K,P=50bar)=6.22bar\begin{gathered}Z_{\mathrm{PE}}(373.15 \mathrm{~K}, P=50 \mathrm{bar})=0.2058 \\\\f_{\mathrm{PE}}(373.15 \mathrm{~K}, P=50 \mathrm{bar})=6.22 \mathrm{bar}\end{gathered}

 

and for benzene

 

ZBZ(373.15 K,P=50bar)=0.1522fBZ(373.15 K,P=50bar)=1.98bar\begin{aligned}&Z_{\mathrm{BZ}}(373.15 \mathrm{~K}, P=50 \mathrm{bar})=0.1522 \\\\&f_{\mathrm{BZ}}(373.15 \mathrm{~K}, P=50 \mathrm{bar})=1.98 \mathrm{bar}\end{aligned}

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