Compressors, Gas Turbines and Jet Engines
The following is true for an open cycle gas turbine having exhaust heat exchanger. Atmospheric air before entering the compressor is

Bled gas from turbine is heated and readmitted for complete expansion
Heated
Exhaust gases drive the compressor
Compressed air before entering the combustion chamber is heated

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Compressors, Gas Turbines and Jet Engines
In a turbo jet engine, subsequent to heat addition to compressed air, to get the power output, the working substance is expanded in

Exit nozzle, which is essentially an isentropic process
Exit nozzle, which is a constant volume process
Turbine blades, which is a constant volume process
Turbine blades, which is essentially an isentropic process

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