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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 a boiling egg
T_b$ is the absolute temperature of the egg and sigma is the entropy production. … The entropy production (sigma) of this (or any) process is always positive, so the entropy of the egg increases as it is boiled and hardens. …