Carbon dioxide gas enters a water-cooled compressor at 15 psia and 50 degrees Fahrenheit, and is discharged at 520 psia and 200 degrees Fahrenheit. The entering CO₂ flows through a 4 inch diameter pipe with a velocity of 20 ft/s, and is discharged through a 1 inch diameter pipe. 4400 BTU/lbmol is removed as heat. How much shaft work is needed in BTU/hr?

Initial specific enthalpy = 307 BTU/lbm Final specific enthalpy = 330 BTU/lbm

Initial specific volume = 9.25 ft³/lbm Final specific volume = 0.28 ft³/lbm

Prove that the kinetic energy change is negligible.