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 175 gram of water. In an attempt to cool this system, 120 gram of ice at 0°C is added to the water.
(a) Find how much ice remains after the system reaches equilibrium.
g
(b) Estimate the final temperature of the system if instead 60 gram of ice were originally added to the warm water.