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Mixing of liquids: Temperature and energy.

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Two volumes V1 and V2 of the same incompressible liquid at temperatures T1 and T2 are mixed together in a thermally isolated container. When equilibrium is reached, the mixtures is at a temperature Tmix. If instead a reversible heat engine were operated between the two volumes of liquid until they reached the same temperature, state whether the final temperature would be higher or lower than Tmix, and give a brief physical justification of your answer. ((Specific heat capacity is independent of temperature and neglect the heat capacity of the container.))

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Final temperature of the mixture is discussed in the solution.

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Engine operating between 2 volumes of liquid
Two volumes V1 and V2 of the same incompressible liquid at temperatures T1 and T2 are mixed together in a thermally isolated container. When equilibrium is reached, the mixtures is at a temperature Tmix. If instead a reversible heat engine were operated between the two volumes of liquid until they reached the same ...

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