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in the fundamentals of engineering thermodynamics book problem 4.106, is work required by the compressor the...

in the fundamentals of engineering thermodynamics book problem 4.106, is work required by the compressor the same as the power required by the compressor for part A?

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Yes, for problem 4.106, Power required by compressor (power input) will be equal to work done by the compressor on the working fluid, i.e. air.

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