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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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Why don't the first two laws of thermodynamics contradict each other?
increasing entropy somewhere else. … Think of an air conditioner - it appears that entropy is being reduced between the inside and outside of your house, but entropy is being increased (more) at the power plant. …