Air Compressor Throttle

An adiabatic air compressor is used to fill an 0.5
m3 bottle initially containing 0.5 kg of air at 300 K. When running, the compressor has a constant
exit temperature of 700 K and exit pressure of 2.0 MPa. The compressor exit flow passes through an
adiabatic throttling valve to enter the bottle, and the compressor shuts off when the bottle contains 5
kg of air.
a) (1.0 pts.) Determine the temperature of the air in the bottle immediately after filling if the bottle
does not lose heat across its wall during filling.
b) (0.5 pts.) How much work does the adiabatic compressor demand during the filling process if its
inlet conditions are 100 kPa and 300 K?
c) (0.5 pts.) How much heat must be taken from the air in the bottle to cool it back to 300 K?