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To cool your 250 mL of coffee at 90°C, you put a 100 g metal spoon in a glass of ice water to lower its temperature to 0°C, and then you put the spoon in the coffee. After thermal equilibrium has been reached, what is the final temperature of your coffee? Assume energy is exchanged only between the spoon and the coffee. The heat capacity of the metal spoon is 80 J/°C. Assume the specific heat and density of coffee are the same as that of water, 4.18 J/(g . °C) and 1.00 g/mL.
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