Compressors, Gas Turbines and Jet Engines
For a two stage reciprocating compressor, compression from p₁ to p₃ is with perfect intercooling and no pressure losses. If compression in both the cylinders follows the same polytropic process and the atmospheric pressure is pa, then the intermediate pressure p₂ is given by

p₂ = (p₁ + p₃)/2
P₂ = Pa × p₃/p₁
p₂ = Pa p₃/p₁
p₂ = p₁. p₃

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Compressors, Gas Turbines and Jet Engines
Volumetric efficiency of a compressor with clearance volume

Increases with increase in compression ratio
May increase/decrease depending on compressor capacity
Decreases with increase in compression ratio
In not dependent upon compression ratio

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Compressors, Gas Turbines and Jet Engines
In air compressors, free air delivery means the

Actual volume of the air delivered by the compressor when reduced to normal temperature and pressure conditions
Volume of air delivered by the compressor
None of the listed here
Volume of air sucked by the compressor during its suction stroke

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