You have a requirement to compress natural gas (k = 1:3, MW = 18) from 1 atm and 708F to 5000 psig. Calculate the work required to do this per pound of gas in a 100% efficient compressor under the...

You have a requirement to compress natural gas (k = 1:3, MW = 18) from 1 atm and 708F to 5000 psig. Calculate the work required to do this per pound of gas in a 100% efficient compressor under the following conditions:

(a) Isothermal single stage compressor.

(b) Adiabatic three stage compressor with inter stage cooling to 708F.

(c) Adiabatic two stage compressor with inter stage cooling to 1008F.