Compressors, Gas Turbines and Jet Engines
The overall isothermal efficiency of compressor is defined as the ratio of

Isothermal h.p. to adiabatic h.p.
Isothermal h.p. to the BHP of motor
Power to drive compressor to isothermal h.p.
Work to compress air isothermally to work for actual compression

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Compressors, Gas Turbines and Jet Engines
For minimum work in multistage compression, assuming same index of compression in all stages

Work done in first stage should be more
Work done in subsequent stages should increase
Work done in subsequent stages should decrease
Work done in all stages should be equal

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