170grams of boiling water (temperature 100C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is1050grams and initial temperature26C (the heat capacity of aluminum is 0.9 J/gram/K). (a) After a short time, what is the temperature of the water? T_final= C (b) What simplifying assumptions did you have to make?

Energy transfer between the system (water plus pan) and the surroundings was negligible during this time.The heat capacities for both water and aluminum hardly change with temperature in this temperature range.The thermal energy of the water doesn't change.The thermal energy of the aluminum doesn't change.

(c) Next you place the pan on a hot electric stove. While the stove is heating the pan, you use a beater to stir the water, doing32774J of work, and the temperature of the water and pan increases to86.9C. How much energy transfer due to a temperature difference was there from the stove into the system consisting of the water plus the pan?