This problem will have you calculate the fugacity of propylene at T=50C for pressures of Pr=0.5,Pr=Psat/PC,Pr=1.4. Data for propylene: Tc=91.75C,Pc=46bar,=0.142, Ttriple=185.35C,Ptriple=9.5 bar, vap=18.4molkJ (a) Determine Psat at 50C using the most appropriate method at this temperature. (b) Calculate the fugacity at the specified pressures using the Peng-Robinson EOS. Are the vapor and liquid fugacities equal at Psat/Pc ? Comment on the accuracy of the method you used to determine the vapor pressure in (a). (c) Calculate the fugacity at those pressures (using the principle of corresponding states and generalized fugacity coefficient chart (assume Zc0.27, see the attached chart). In using the chart, find the corresponding Tr line or closest two lines and read the fugacity value on the left at the appropriate Pr. Comment on the similarities/differences between this method and the method in (b). (d) Use the Poynting method to calculate all values of fL, using the molar volume from (b)