Compressors, Gas Turbines and Jet Engines
The assumption made in two stage compression with inter-cooler is that

There is no pressure drop in the inter-cooler
The suction and delivery of air takes place at constant pressure
The compression in both the cylinders is polytropic
All of the listed here

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Compressors, Gas Turbines and Jet Engines
The overall efficiency of the compressed air system is the

Ratio of shaft output of the air motor to the shaft input to the compressor
None of these
Product of shaft output of air motor and shaft input to the compressor
Ratio of shaft input to the compressor to the shaft output of air motor

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

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