6. (7 pts) Classical Calorimetry. Water of mass m, at temperature T, (0.C

6. (7 pts) Classical Calorimetry. Water of mass nil at temperature Tl is contained within an insulated bucket. Into this bucket we drop a block of ice of mass m2 at temperature T 2 (T OOC). Initially the water cools and the ice warms, but we want to know thefinal state of this system. a. b. c. d. e. (2 pts) Ifthe final temperature of the system is above 00 C, what is it in terms of T T nil, '"12, the specific heats of water and ice, cw and q, and the latent heat of fusion, LP (1 pt) Ifthe final temperature of the system is OOC and all ice has melted, what is nil in terms of the other quantities in this problem? (2 pts) Ifthe final temperature of the system is below OOC, what is it? (Caution: The answer here is not the same as in (a).) (1 pt) Ifthe final temperature of the system is OOC and all of the water hasfrozen, what is m2 in terms of the other quantities in this problem? (1 pt) If mr=O.9 kg, mrl.3 kg, T 1=50 OC, and Tr -500C, what is the final temperature?