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

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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
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
Volume of free air delivery per stroke to the swept volume of the piston

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