Air is compressed steadily by a compressor from 100 kPa and 27°C to 800 kPa and 290°C. The mass flow rate of the air is 15 kg/min. During the process, the heat is lost from the compressor at a rate of 15 kW to the surrounding at 27°C. Assume air to be an ideal gas and the changes in kinetic and potential energies can be neglected. a) Determine the power required by the compressor, kW. b) Find the minimum power required by the compressor, kW. c) Calculate the isentropic efficiency of the compressor, %. d) Determine the rate of entropy generation during this process, kW/K. e) To prevent the heat loss from the compressor to the surrounding, the compressor is well insulated. Assuming the exit temperature of the air remain the same, find the

Elements Of Electromagnetics
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Air is compressed steadily by a compressor from 100 kPa and 27°C to 800 kPa and 290°C.
The mass flow rate of the air is 15 kg/min. During the process, the heat is lost from the
compressor at a rate of 15 kW to the surrounding at 27°C. Assume air to be an ideal gas and
the changes in kinetic and potential energies can be neglected.
a) Determine the power required by the compressor, kW.
b) Find the minimum power required by the compressor, kW.
c) Calculate the isentropic efficiency of the compressor, %.
d) Determine the rate of entropy generation during this process, kW/K.
e) To prevent the heat loss from the compressor to the surrounding, the compressor is
well insulated. Assuming the exit temperature of the air remain the same, find the
new power required by the compressor, kW.
f) Does the process as in (e) satisfy or violate the second law of thermodynamics.
Show the calculation to support your answer.
Take for the air R = 0.287 kJ/kg.K, c, = 1.005 kJ/kgK and k =1.4.
Transcribed Image Text:Air is compressed steadily by a compressor from 100 kPa and 27°C to 800 kPa and 290°C. The mass flow rate of the air is 15 kg/min. During the process, the heat is lost from the compressor at a rate of 15 kW to the surrounding at 27°C. Assume air to be an ideal gas and the changes in kinetic and potential energies can be neglected. a) Determine the power required by the compressor, kW. b) Find the minimum power required by the compressor, kW. c) Calculate the isentropic efficiency of the compressor, %. d) Determine the rate of entropy generation during this process, kW/K. e) To prevent the heat loss from the compressor to the surrounding, the compressor is well insulated. Assuming the exit temperature of the air remain the same, find the new power required by the compressor, kW. f) Does the process as in (e) satisfy or violate the second law of thermodynamics. Show the calculation to support your answer. Take for the air R = 0.287 kJ/kg.K, c, = 1.005 kJ/kgK and k =1.4.
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