A beaker of water sits in the sun until it reaches an equilibrium temperature of 30°C. The beaker is made of 100 gram of aluminum and contains 180gram of water. In an attempt to cool this system, 115 gram of ice at 0°C is added to the water.
(a) Calculate how much ice remains after the system reaches equilibrium. (in grams)
(b) Calculate the final temp of the system if instead 50 gram of ice were originally added to the warm water.