A 9.0×10^(-2)-kg ice cube at 0.0 °C is dropped into a Styrofoam cup holding 0.35 kg of water at 12 °C.
Part A: Find the final temperature of the system. Assume the cup and the surroundings can be ignored.
Part B: Find the amount of ice (if any) remaining.
Part C: Find the initial temperature of the water that would be enough to just barely melt all of the ice.