Compressors, Gas Turbines and Jet Engines
Isothermal compression though most efficient, but is not practicable because

Compressor has to run at very slow speed to achieve it
It requires very big cylinder
It is impossible in practice
It does not increase pressure much

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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

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

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