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A 208-g aluminum calorimeter contains 648 g of water at 18° C. A 105-g piece of ice cooled to -18° C is placed in the calorimeter. (Assume that the specific heat of ice is always 2.02 kJ/kg · K.)

(a) Find the final temperature of the system, assuming no heat is transferred to or from the system.

(b) A 180-g piece of ice at -18° C is added. How much ice remains in the system after the system reaches equilibrium?

(c) Would the answer for Part (b) change if both pieces of ice were added at the same time?

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