Compressors, Gas Turbines and Jet Engines
Adiabatic compression is one in which

Work done is maximum
No heat leaves or enters the compressor cylinder during compression
Temperature rise follows a linear relationship
Temperature during compression remains constant

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

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