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You want to cool 0.2 kg of coffee, initially at temperature Th = 80° C, with...

You want to cool 0.2 kg of coffee, initially at temperature Th = 80° C, with ice initially at Tc = 0° C. The specific heat of ice is about 2108 J/kg K, and its latent heat of melting is about 334, 000 J/kg. You may take the specific heats of liquid water and coffee to be the same: 4187 J/kg K.
A) Assume the coffee and ice form a closed system. You want them to equilibrate at 40° C. How much ice should you add?
B) Suppose you add that ice, and find that after 20 minutes it equilibrates with the coffee at 30° C rather than 40° C. How much power does the coffee/ice system deliver to its surroundings, on average

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