Ten moles of ethylene (T_c=9.2 degrees C, P_c= 214.2kg/m^3) are to be compressed isothermally from their initial state (P = 21.7 bar,T = 25 ºC, and V = 1000 cm3/mol) to 100 cm3/mol.
a. Estimate the work required to perform this operation on an ideal gas.
b. Estimate the work required to compress a mixture of ethylene and nitrogen (y_ethylene=0.3) to the final state using the van der waals equation of state.