Compressors, Gas Turbines and Jet Engines
The work ratio of a gas turbine plant is defined as the ratio of

Net work output and isentropic heat drop
Net work output and heat supplied
Actual heat drop and isentropic heat drop
Net work output and work done by turbine

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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
If p₁ is the pressure of air entering the L.P, cylinder and p₃ is the pressure of air leaving the H.P. cylinder, then the ratio of cylinder diameters for a single acting, two stage reciprocating compressor with complete intercooling is given by

D₁/D₂ = (p₃/p₁)1/4
D₁/D₂ = (p₁ p₃)1/2
D₁/D₂ = (p₁ p₃)1/4
D₁/D₂ = (p₁/p₃)1/4

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