It is desired to compress ethylene gas [MW = 28, k = 1.3, cp =0.357 Btu/(lbm-°F)] from 1 atm and 80°F to 10,000 psia. Assumingideal gas behavior, calculate the compression work required perpound of ethylene under the following conditions: a. A single stageisothermal compressor. b. A four stage adiabatic compressor withinterstage cooling to 80°F and optimum interstage pressures c. Afour stage adiabatic compressor with no intercooling, assuming thesame interstage pressures as (b) and 100% efficiency.