Methane passes through a compressor and is subsequently cooled in a heat exchanger. Methane enters the compressor at 1 bar, 20 °C with volumetric flow rate 30 ft³/min; it exits the heat exchanger at 10 bar, 20 °C. The compressor efficiency is 80%. Assuming methane to be in the ideal-gas state with  J/mol K, do the following: 

a) Calculate the work in the compressor (in J/s) 

b) Calculate the required heat in the heat exchanger. 

c) Calculate the entropy generation.

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C = 36.3