Assume that there is no heat exchange with the surroundings. A 75-g ice cube at 0.0 degrees Celsius is dropped into the 200-g of water in a 85-g aluminum cup. The cup and the water have an initial temperature of 10.0 degrees Celsius.
1. Identify the equilibrium temperature of the system.
2. What mass of ice, if any, is present when the system reaches equilibrium? (The latent heat of fusion for water is 33.5 x 10^4 J/kg, the specific heat for water and aluminum are 4186 J/(kg-K) and 900 J/(kg-K), respectively.)