Methane is to be compressed from 0.05 MPa and -120F to 5 MPa in a two stage

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Methane is to be compressed from 0.05 MPa and -120°F to 5 MPa in a two stage compressor. In between adiabatic, reversible stages, a heat exchanger returns the temperature to -120°F. The intermediate pressure is 1.5 MPa.

(a) What is the work required (kJ/kg) in the first compressor of methane?

(b) What is the temperature at the exit of the first compressor (°C)?

(c) What is the cooling requirement (kJ/kg) in the interstage cooler?

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