Solve the below:
Q: A heat-powered portable air compressor consists of three components:
(a) an adiabatic compressor;
(b) a constant pressure heater (heat supplied from an outside source); and
(c) an adiabatic turbine.
The compressor and the turbine each have an isentropic efficiency of 85%. Ambient air enters the compressor at 100 kPa, 300 K, and is compressed to 600 kPa. All of the power from the turbine goes into the compressor, and the turbine exhaust is the supply of compressed air. If this pressure is required to be 200 kPa, what must the temperature be at the exit of the heater?