Calculate the coefficient of performance a in a triangular cycle.

Chemistry Level 3

An ideal gas with adiabatic coefficient γ is submitted to the ABCA cycle, where AB is a line segment.
a) Calculate the coefficient of η . \eta.
b) Show that it is smaller than the yield of a Carnot cycle operating between the same temperature extremes.

η = 1 6 1 2 γ \eta =\frac { 1 }{ 6 } -\frac { 1 }{ 2\gamma } η = 1 3 1 3 γ \eta =\frac { 1 }{ 3 } -\frac { 1 }{ 3\gamma } η = 1 6 1 5 γ \eta =\frac { 1 }{ 6 } -\frac { 1 }{ 5\gamma } η = 1 6 1 3 γ \eta =\frac { 1 }{ 6 } -\frac { 1 }{ 3\gamma }

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