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physics

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A 13.0 gram sample of an unknown metal at 30.0*C is placed in a Styrofoam cup containing 50.0 grams of water at 90.0*C.The water cools down and the metal warms up until thermal equilibrium is achieved at 87.0*C.Assuming all the heat lost by the water is gained by the metal and the cup is perfectly insulated,determine the specific of heat capacity of the unknown metal.The specific heat capacity of water is 4.18 J/g/*C

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    4.18 * (50.0/13.0) * [(90.0 - 87.0)/(90.0 - 30.0)]

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