An unknown metal (mass of 230g) is heated to 95.0°C in a water bath. A calorimeter is made of an aluminum cup (mass of 120g) suspended inside another container to insulate the cup from the environment. The cup is half filled with water (mass of water is 350g) and when the cup and water reach equilibrium with each other, they have a temperature of 23.0°C. The piece of unknown metal is taken from the heat bath and immediately added to the water in the calorimeter, which is then sealed to stop heat transfer to the environment. After the unknown metal, cup, and water have reached equilibrium, the temperature of the water in the cup is 24.3°C. A) If the specific heat of water is 4190J/(kg·°C), how much energy did the water gain when the unknown metal was added? B) If the specific heat of aluminum is 900J/(kg·°C), how much energy did the aluminum cup gain when the unknown metal was added?
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