Air enters a compressor at 179 kPa and 290 K and exits at a temperature of 500.9

Question

Air enters a compressor at 179 kPa and 290 K and exits at a temperature of 500.9 K. Determine the power (kW) for the compressor if the inlet volumetric flow rate is 0.125 m3/s and the heat transfer through the shell of the compressor to the surroundings is 2.02 kW. Use the ideal gas tables (variable specific heats).

Correct :...Answer: -59.49

PLEASE show work and equations

Air enters a compressor at 179 kPa and 290 K and exits at a temperature of 500.9 K. Determine the power (kW) for the compressor if the inlet volumetric flow rate is 0.125 m3/s and the heat transfer through the shell of the compressor to the surroundings is 2.02 kW. Use the ideal gas tables (variable specific heats).

Correct :...Answer: -59.49

PLEASE show work and equations

Explanation / Answer

work done=density*volume flow rate*cp*(T2-T1)

1.14*0.205*1.102*(500.9-290)

=54.31 KW

Extra work done due to pOwer loss

54.31+2.02

=-56.34 kW ans

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