Compressors, Gas Turbines and Jet Engines
In the axial flow gas turbine, the work ratio is the ratio of

Output and input
Actual total head temperature drop to the isentropic total head drop from total head inlet to static head outlet
Compressor work and turbine work
Actual compressor work and theoretical compressor work

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

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

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