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A perfectly insulated cubical tank 0.8 m on each side contains liquid water at 18 C. ...

A perfectly insulated cubical tank 0.8 m on each side contains liquid water at 18 C.  A cube of copper 0.2 m on each side with a temperature of 90 C is quickly plunged into the water displacing an amount of water equal to the volume of the copper block.  A perfectly insulated lid is quickly placed on the top of the tank.  Starting with basic equations, derive an equation which gives the final equilibrium temperature of the system, then plug in the relevant numbers to determine that temperature.

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