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

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Compressors, Gas Turbines and Jet Engines
Inter-cooling in gas turbine results in

Decrease in both thermal efficiency and net output
Increase in both thermal efficiency and net output
Increase in net output but decrease in thermal efficiency
Increase in thermal efficiency but decrease in net output

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