Why can we use specific heat capacity at constant pressure to calculate work into the compressor? Eg Brayton cycle:W_1-2 = mCp(T2 - T1) This always confuses me as it is not a constant pressure process!Help :(

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It is an open system and to account for flow work we use Cp while calculating work.(enthalpy change)

In open systems Cv is used to calculate u2-u1.

Sometimes Thermodynamics is notorious, we just have to accept it and move on. :)