Problem 3. (20 points) Calculate the final equilibrium temperature when 10.0 grams of steam initially at 100'C is mixed with 250 grams of liquid water and 120 grams of ice at 0'C in a calorimeter. That is, the liquid water AND the ice are initially at OC. Ignore any heat energy exchanges with the calorimeter and the surroundings. If you conclude that the final temperature of the system is O'C, then what mass of ice remains, but if you conclude that the final temperature is 100 C, then what mass of steam remains? {For water: the latent heat of fusion is 3.33x10' J/kg, the specific heat capacity is Cwater = 4186 J/(kg "C), and the latent heat of vaporization is 2.26x10 J/(kg "C)}