A small cup of water (mass mwater 0.2 kg) is at 90C. A ridiculously cold ice cube (mass mice 0.5 kg) is taken from a -150C freezer and placed in the water. Note: Let's use some rounded numbers so that you do not need a calculator (even though you may use one). Use a specific heat of ice of Cice = 2. a specific heat of water of Cwater = kJ = kg.K' = 4 and the latent heat of fusion Lf = 300 kJ/kg. kJ kg.K' (a) What will be the final state of the system? That is, will all the water freeze, all the ice melt, or somewhere in between? (b) What is the final temperature of the system once it reaches thermal equilibrium?