Air is drawn into the compressor at pressure of 100 kPa and temperature of 22ºC. The volumetric flow rate at the compressor inlet is 0.4 m3 /s. The compressor exit pressure is 900 kPa and the compressor efficiency is 70%. The air leaving the compressor passes through a heat exchanger where it is cooled by transferring heat to the atmosphere at 22ºC. The outlet temperature of air after the heat exchanger is 32ºC. The air passes through a valve and enters a 1 m3 rigid tank. The initial pressure and temperature of the air in the tank are 100 kPa and temperature of 22ºC, respectively. The final pressure and temperature of the air in the tank are 900 kPa and temperature of 90ºC. During the filling process, the tank transfers heat to the surroundings (at 22ºC). Don’t assume constant specific heat. Determine a) The mass flow rate of air entering the compressor, ?̇ (kg/s). b) The rate of power consumed by the compressor, (kW). c) The rate of heat transfer from the heat exchanger to the atmosphere, (kW). d) The time that is required to fill the tank (s). e) The heat transfer from the air in the tank to the surroundings that occurs during this process, (kJ). f) The total entropy generation associated with the overall system (kJ/K). plz solve step by step
Air is drawn into the compressor at pressure of 100 kPa and temperature of 22ºC. The volumetric
flow rate at the compressor inlet is 0.4 m3
/s. The compressor exit pressure is 900 kPa and the
compressor efficiency is 70%. The air leaving the compressor passes through a heat exchanger
where it is cooled by transferring heat to the atmosphere at 22ºC. The outlet temperature of air
after the heat exchanger is 32ºC. The air passes through a valve and enters a 1 m3
rigid tank. The
initial pressure and temperature of the air in the tank are 100 kPa and temperature of 22ºC,
respectively. The final pressure and temperature of the air in the tank are 900 kPa and temperature
of 90ºC. During the filling process, the tank transfers heat to the surroundings (at 22ºC).
Don’t assume constant specific heat.
Determine
a) The mass flow rate of air entering the compressor, ?̇ (kg/s).
b) The rate of power consumed by the compressor, (kW).
c) The rate of heat transfer from the heat exchanger to the atmosphere, (kW).
d) The time that is required to fill the tank (s).
e) The heat transfer from the air in the tank to the surroundings that occurs during this process,
(kJ).
f) The total entropy generation associated with the overall system (kJ/K).
plz solve step by step
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