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A theoretical ideal thermodynamic cycle which provides an upper limit on the efficiency that any classical thermodynamic engine can achieve during the conversion of heat into work, or conversely, the efficiency of a refrigeration system in creating a temperature difference by the application of work to the system.
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Entropy change in each step of Carnot Cycle
The entropy change is $$\Delta S = \frac{Q}{T}$$.
There is no heat $Q$ in the adiabatic steps.
The efficiency of a Carnot cycle
$$\eta = \frac{W}{Q_H} = 1- \frac{Q_C}{Q_H} = 1- \frac{T_C}{T_H}$$
Which …