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

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Compressors, Gas Turbines and Jet Engines
The following is true for an open cycle gas turbine having exhaust heat exchanger. Atmospheric air before entering the compressor is

Bled gas from turbine is heated and readmitted for complete expansion
Heated
Exhaust gases drive the compressor
Compressed air before entering the combustion chamber is heated

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