Compressors, Gas Turbines and Jet Engines
The overall isothermal efficiency of compressor is defined as the ratio of

Isothermal h.p. to adiabatic h.p.
Work to compress air isothermally to work for actual compression
Isothermal h.p. to the BHP of motor
Power to drive compressor to isothermal h.p.

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

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