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A cup containing 45 g of water at 87.4°C has a 14.2 g piece of unknown metal placed into it. After some time the water cools and the metal warms up to a final temperature of 86.9°C. We will assume that the energy loss by the water is gained by the metal in this perfectly insulated situation calculate the specific heat capacity of the unknown metal the specific heat capacity of water is 4180 J/Kg/degree Celsius .

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