For a real gas, the compressibility factor, Z, is defined as Z (T, P) = PV/nRT For an ideal gas, Z = 1.0. a. Show that the fugacity coefficient can be calculated from ln phi = integral^P_0 (Z ? 1) dP/P b. Estimate the fugacity of CO_2 at 150 degree C and 500 bar from the following data: Source: Smith, J. M. et al., Introduction to Chemical Engineering Thermodynamics, 7th Ed. McGraw-Hill, 2005.