A 200-g aluminum calorimeter contains 500 g of water at 20oC. A 100-g piece of ice cooled

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A 200-g aluminum calorimeter contains 500 g of water at 20oC. A 100-g piece of ice cooled to 20oC is placed in the calorimeter.

(a) Find the final temperature of the system, assuming no heat loss. (Assume that the specific heat of ice is 2.0 kJ/kg ∙ K.)

(b) A second 200-g piece of ice at 20oC is added. How much ice remains in the system after it reaches equilibrium?

(c) Would you give a different answer for (b) if both pieces of ice were added at the same time?

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