Compressors, Gas Turbines and Jet Engines
The overall isothermal efficiency of the compressor is defined as the ratio of

Isothermal power to the shaft power or B.P. of the motor or engine required to drive the compressor
Volume of free air delivery per stroke to the swept volume of the piston
Isentropic power to the power required to drive the compressor
Work required to compress the air isothermally to the actual work required to compress the air for the same pressure ratio

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Compressors, Gas Turbines and Jet Engines
In the cross compounding of the gas turbine plant

H.P. compressor is connected to H.P. turbine and L.P. compressor to L.P. turbine
H.P. compressor is connected to L.P. turbine and L.P. compressor is connected to H.P. turbine
All are connected in series
Both the arrangements can be employed

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