(a) For ice, c = 2010 J/(kg•K) and for liquid water c = 4190 J/(kg•K). For water, Lf = 3.34 x 105 J/kg and Lv = 2.256 x 106 J/kg. A beaker of negligible mass contains 1.50 kg of water at an initial temperature of 40.0°C. 0.200 kg of ice at an initial temperature of -45.0°C is put into the water. If no heat is lost to the surroundings, what is the final temperature after thermal equilibrium has been reached?
(b) One end of an insulated metal rod is maintained at 100°C while the other end is kept at 0°C by an ice-water mixture. The rod is 0.400 m long and has a cross-sectional area of 2.00 x 10-4 m2. The heat conducted by the rod melts 0.00600 kg of ice in 10.0 minutes. Find the thermal conductivity of the metal of which the rod is made.