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

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

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Compressors, Gas Turbines and Jet Engines
Volumetric efficiency of a compressor without clearance volume

May increase/decrease depending on compressor capacity
Decreases with increase in compression ratio
Is not dependent upon compression ratio
Increases with increase in compression ratio

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