A 200 g aluminum calorimeter can contain 500 g of water at 20 C. A 100 g piece of ice cooled to -20 C is placed in the calorimeter.
a. Find the final temperature of the system, assuming no heat losses. (Assume that the specific heat of ice is 2.0 kJ/kg K)
b. A second 200 g piece of ice at -20 C is added. How much ice remains in the system after it reaches equilibrium?
c. Would your answer to part b be different if both pieces of ice were added at the same time?