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A copper block with a mass of 500 grams is cooled to 77 K by being...

A copper block with a mass of 500 grams is cooled to 77 K by being immersed in liquid nitrogen. The block is then placed in a Styrofoam cup containing some water that is initially at +50.0°C. Assume no heat is transferred to the cup or the surroundings. The specific heat of liquid water is 4186 J/(kg °C), of solid water is 2060 J/(kg °C), and of copper is 385 J/(kg °C). The latent heat of fusion of water is 3.35 * 10^5
J/kg. What is the mass of water in the cup, if the final temperature is −10.0°C?
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