(5 pts) Instead of using ice to cool his beverages, professor Marbach uses cold rocks. For a particular drink, he starts by placing 0.4 kg of \"water,\" initially at 28°C into a cup. Then, cold rocks initially at -30°C are added. If a desired equilibrium temperature of 7°C is desired, what mass of rocks is required? If it is observed that the temperature increases to 15°C over 25 minutes, determine the average rate of heat transfer, in watts.
Specific heat of \"water\": 4.2 kJ/kg.K
Specific heat of rocks: 0.83 kJ/kg.K