Compressors, Gas Turbines and Jet Engines
An ideal air compressor cycle without clearance on P-V diagram can be represented by following processes

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

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Compressors, Gas Turbines and Jet Engines
In n₁ and n₂ are the indices of compression for the first and second stage of compression, then the ratio of work-done on the first and second stages (W₁/W₂) with perfect intercooling is given by

W₁/W₂ = n₁(n₂ - 1)/n₂(n₁ - 1)
W₁/W₂ = n₁/n₂
W₁/W₂ = n₂(n₁ - 1)/n₁(n₂ - 1)
W₁/W₂ = n₂/n₁

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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
D₁/D₂ = p₁ p₂
None of these

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