ENGINEERING APPLICATION Acommon practical cycle, often

Chapter , Problem 83

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ENGINEERING APPLICATION Acommon practical cycle, often used in refrigeration, is the Brayton cycle, which involves (1) an adiabatic compression, (2) an isobaric (constant pressure) expansion, (3) an adiabatic expansion, and (4) an isobaric compression back to the original state. Assume the system begins the adiabatic compression at temperature and transitions to temperatures and after each leg of the cycle. (a) Sketch this cycle on a diagram. (b) Show that the efficiency of the overall cycle is given by (c) Show that this efficiency, can be written as where is the pressure ratio Phigh/Plow (the ratio of the maximum and minimum pressures in the cycle).

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