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 during compression remains constant
Temperature rise follows a linear relationship

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Compressors, Gas Turbines and Jet Engines
In n₁ and n₂ are the indices of compression for the first and second stage of compression, then the ratio of work-done on the first and second stages (W₁/W₂) with perfect intercooling is given by

W₁/W₂ = n₂/n₁
W₁/W₂ = n₁/n₂
W₁/W₂ = n₁(n₂ - 1)/n₂(n₁ - 1)
W₁/W₂ = n₂(n₁ - 1)/n₁(n₂ - 1)

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