Compressors, Gas Turbines and Jet Engines
The assumption made in two stage compression with inter-cooler is that

All of the listed here
The compression in both the cylinders is polytropic
There is no pressure drop in the inter-cooler
The suction and delivery of air takes place at constant pressure

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Compressors, Gas Turbines and Jet Engines
The overall efficiency of the compressed air system is the

Ratio of shaft input to the compressor to the shaft output of air motor
Ratio of shaft output of the air motor to the shaft input to the compressor
None of these
Product of shaft output of air motor and shaft input to the compressor

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