A 0.050 kg ice cube at -20.0 C is dropped into a Styrofoam cup holding 0.45 kg of water at 18 C. Assume the cup and the surroundings can be ignored. The specific heat of water is 4190 J(kg.C), its latent heat of fusion is 3.3310⁵ J/kg, and the specific heat of ice is 2090 J(kg.C).

a) Find the final temperature of the system. b) Find the initial temperature of the water that would be enough to just barely melt all of the ice.