Compressors, Gas Turbines and Jet Engines
Adiabatic compression is one in which

Work done is maximum
No heat leaves or enters the compressor cylinder during compression
Temperature during compression remains constant
Temperature rise follows a linear relationship

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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

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

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