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.

Solutions

Expert Solution

Mass of the ice is

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

Heat required to change the temperature of a substance of mass m from T_i to T_f is

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

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

genius_generous answered 1 year ago

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