Compressors, Gas Turbines and Jet Engines
The advantage of multistage compression over single stage compression is

Higher volumetric efficiency
Decreased discharge temperature
Lower power consumption per unit of air delivered
All of these

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Compressors, Gas Turbines and Jet Engines
In a turbo jet engine, subsequent to heat addition to compressed air, to get the power output, the working substance is expanded in

Exit nozzle, which is a constant volume process
Exit nozzle, which is essentially an isentropic process
Turbine blades, which is essentially an isentropic process
Turbine blades, which is a constant volume process

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