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Zeroth Law of Thermodynamics, About Thermal Equilibrium

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If two thermodynamic systems are separately in thermal equilibrium with a third, they are also in thermal equilibrium with each other. If we assume that all systems are (trivially) in thermal equilibrium with themselves, the Zeroth law implies that thermal equilibrium is an equivalence relation on the set of thermodynamic systems. This law is tacitly assumed in every measurement of temperature.

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