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An important extensive property of all systems in thermodynamics, statistical mechanics, and information theory, quantifying their disorder (randomness), i.e., our lack of information about them. It characterizes the degree to which the energy of the system is *not* available to do useful work.

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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. …
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