Compressors, Gas Turbines and Jet Engines
An ideal air compressor cycle with clearance on P-V diagram can be represented by following processes

One adiabatic, one isobaric and two constant volumes
Two adiabatic, one isobaric and one constant volume
Two adiabatic and two isobaric
One adiabatic, two isobaric, and one constant volume

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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 = p₂/p₁
None of these
D₁/D₂ = p₁/p₂

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