Compressors, Gas Turbines and Jet Engines
If p₁, is the pressure of air entering the L.P. cylinder and p₂ is the pressure of air leaving the L.P. cylinder (or inter-cooler pressure), then the ratio of cylinder diameters for a single acting, two stage reciprocating air compressor with complete intercooling is given by (where D₁ = Dia. of L.P. cylinder, and D₂ = Dia. of H.P. cylinder)

D₁/D₂ = p₁ p₂
D₁/D₂ = p₁/p₂
None of these
D₁/D₂ = p₂/p₁

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

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

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