1. During an all-night cram session, a student heats up a one-half liter (0.50E-3 m^3) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 15° C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 91° C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?
2. A 0.20-kg coffee mug is made from a material that has a specific heat capacity of 990 J/(kg · C°) and contains 0.39 kg of water. The cup and water are at 25° C. To make a cup of coffee, a small electric heater is immersed in the water and brings it to a boil in two minutes. Assume that the cup and water always have the same temperature and determine the minimum power rating of this heater.