show the calculation parts and explain briefly for a,b,c

25MMcfd (measured at 14.7 psia and 60F ) of a natural gas, with a specific heat ratio of k=1.3, are to be compressed from 1000 to 8000psia. The inlet temperature is 80F. Determine the horsepower requirement: (a) Without intercooling. (b) With intercooling. Allow a pressure drop per stage of approximately 4% of first-stage discharge pressure. This is the usual assumption with intercoolers between stages. (c) A 2100-hp two-stage compressor unit compresses natural gas (k= 1.3) from a pressure of 1000psia at 78F inlet condition to a discharge pressure of 6000psia. What is the capacity of this compressor at standard conditions of 60F and 14.7psia