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

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

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

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