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Ice with a mass of 52 g originally at 0.0 deg. C is added to 450...

Ice with a mass of 52 g originally at 0.0 deg. C is added to 450 g of water originally at 80. deg. C. Determine the final temperature once all the ice melts and all the water reaches thermal equilibrium. Assume that no heat is exchanged with the container.

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Expert Solution

Mass of the ice is

Heat required to melt ice at 0oC to water at 0oC is

Heat required to change the temperature of a substance of mass m from Ti to Tf is

Let Tf be the final temperature. Heat required to increase the temperature of water from 0oC to Tf is

The heat is supplied by the water of mass M=450g which is initially at temperature 80oC. The heat supplied by the water is

It is given that no heat is exchanged with the container.

Substituting m=52g, M=450g C=4.186 J/(goC)

genius_generous answered 1 year ago
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