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
W₁/W₂ = n₂(n₁ - 1)/n₁(n₂ - 1)

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Compressors, Gas Turbines and Jet Engines
The overall efficiency of the compressed air system is the

Product of shaft output of air motor and shaft input to the compressor
Ratio of shaft input to the compressor to the shaft output of air motor
Ratio of shaft output of the air motor to the shaft input to the compressor
None of these

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