Question: Question 1 (Fugacity for real gas, 30 marks) A general correlation of fugacity of a pure gas i at temperature T is commonly expressed as:

Question 1 (Fugacity for real gas, 30 marks) A general correlation of fugacity of a pure gas i at temperature T is commonly expressed as: lni=0P(Zi1)PdP A student proposed another alternative equation for fugacity which can be written as: lnf0f=P0PZid(lnP) a) Show the derivation of this alternative equation. b) Suppose that Zi follows the Virial equation below, derive the expression for the fugacity coefficient (i) based on the proposed alternative equation above. Zi=1+RTBP+(RT)2CP2 c) Suppose N2 gas was compressed isothermally from 20 to 5000kPa at 150C. By using the equation obtained in part b), determine the fugacity of compressed N2. Refer to the following reference: Sevast'yanov, R.M., Chernyavskaya, R.A. Journal of Engineering Physics 51, 851-854 (1986)

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