Suppose a Brayton engine (see Problem 20.26) is run as a refrigerator. In this case, the cycle begins at temperature T1, and the gas is isobarically expanded until it reaches temperature T4. Then the gas is adiabatically compressed, until its temperature is T3. It is then isobarically compressed, and the temperature changes to T2. Finally, it is adiabatically expanded until it returns to temperature T1.
a) Sketch this cycle on a pV -diagram.
b) Show that the coefficient of performance of the engine is given by K = (T4− T1)/(T3− T2− T4+ T1).
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