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An insolated cup contains 1kg of water initially at 20 oC. 0.50 kg of ice, initially...

An insolated cup contains 1kg of water initially at 20 oC. 0.50 kg of ice, initially at 0 oC is added to the cup of water. The water and ice are allowed to come to thermal equilibrium. The specific heat of ice is 2000 J/kg oC, the specific heat of water 4186 J/kg oC, the latent heat of fusion of water is 33.5x104 J/kg. What is the final temperature of the water?

(A) 0 oC

I know the answer is 0 degrees Celsius from the answer key but I have no clue how they got it.

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