Solve manually and also by using Microsoft Excel

Shown below are compressibility data for nitrogen: Compressibility Factor, z 50C Pressure (atm) 0 10 50 100 200 0C 1.000 0.996 0.985 0.984 1.036 1.134 1.256 1.524 1.798 25C 1.000 0.998 0.996 1.004 1.057 1.146 1.254 1.495 1.723 1.000 L.OXO 1.04 1.018 1.072 300 400 600 800 1.253 1.471 1.697 The pure component fugacity of a Fugacity is a measure of the chemical potential. substance can be computed from When the fugacities of a chemical in two different compartments that are in contact are unequal, the chemical will be redistributed between the compartments, with net transfer dP of the chemical from the higher fugacity compartment to the lower fugacity compartment. When the fugacities are where is the compressibility factor (PV/RT), Pis the equal, the net transfer is zero and pressure, R is the gas constant, T is the absolute temperature. equilibrium exists. and is the specific volume -(4-15 )= Using the data in the table, compute the pure component fugacity of nitrogen at 0C, 25C, and 50C. Since the data are not equally spaced, use of the trapezoidal rule is suggested to perform the numerical integration