Compressors, Gas Turbines and Jet Engines
Inter-cooling in multistage compressors is done

To cool the air at delivery
To minimize the work of compression
To enable compression in two stages
To cool the air during compression

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

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

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Compressors, Gas Turbines and Jet Engines
Clearance volume in actual reciprocating compressors is essential

To provide cushioning effect and also to avoid mechanical bang of piston with cylinder head
To attain high volumetric efficiency
To accommodate Valves in the cylinder head
To provide cushioning effect

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

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

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Compressors, Gas Turbines and Jet Engines
In a turbo jet engine, subsequent to heat addition to compressed air, to get the power output, the working substance is expanded in

Turbine blades, which is essentially an isentropic process
Turbine blades, which is a constant volume process
Exit nozzle, which is a constant volume process
Exit nozzle, which is essentially an isentropic process

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