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