Air enters an adiabatic compressor at 102 kPa and 314 K and exits at a temperatu

Question

Air enters an adiabatic compressor at 102 kPa and 314 K and exits at a temperature of 581 K. Determine the power (kW) for the compressor if the inlet volumetric flow rate is 0.205 m3/s. Use constant specific heats evaluated at 300 K.

Correct Answer: -62.26

PLEASE show work and equations

Air enters an adiabatic compressor at 102 kPa and 314 K and exits at a temperature of 581 K. Determine the power (kW) for the compressor if the inlet volumetric flow rate is 0.205 m3/s. Use constant specific heats evaluated at 300 K.

Correct Answer: -62.26

PLEASE show work and equations

Explanation / Answer

Work= Cp(T2-T1) = 1.004*(581-314) = -268.07 KJ/Kg

mass flow rate = density*Vol flow rate =1.127*0.205 = 0.231 Kg/s

Power = Work*mass flow rate = -61.92

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