The figure shows a Carnot cycle, made up of 2 isothermal and 2 adiabatic process

Question

The figure shows a Carnot cycle, made up of 2 isothermal and 2 adiabatic processes. Subscripts C and H refer to the cold and hot temperatures, respectively, while the heat flows Q_C and Q_H and work done W have their usual meanings. Which of the following is true? (a) Q_H = Q_C + W and the efficiency e = W/Q_H > 1 - T_C/T_H. (b) Q_H = Q_C + W and the efficiency e = W/Q_H = 1 - T_C/T_H. (c) Q_C = Q_C + W and the efficiency e = W/Q_H > 1 - T_C/T_H. (d) Q_C = Q_C + W and the efficiency e = W/Q_H

Explanation / Answer

For carnot cycle W=QH-QC or, QH=W+QC

Efficiency= e=W/QH =1-TC/TH

So correct option is b.

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