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 decrease
Work done in all stages should be equal
Work done in subsequent stages should increase

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Compressors, Gas Turbines and Jet Engines
For a two stage reciprocating compressor, compression from p₁ to p₃ is with perfect intercooling and no pressure losses. If compression in both the cylinders follows the same polytropic process and the atmospheric pressure is pa, then the intermediate pressure p₂ is given by

p₂ = p₁. p₃
p₂ = (p₁ + p₃)/2
p₂ = Pa p₃/p₁
P₂ = Pa × p₃/p₁

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