160 grams of boiling water (temperature 100° C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 1000 grams and initial temperature 25° C (the heat capacity of aluminum is 0.9 J/gram/K).
(a) After a short time, what is the temperature of the water?
Tfinal = ° C (b) What simplifying assumptions did you have to make?
The thermal energy of the water doesn't change.
Energy transfer between the system (water plus pan) and the surroundings was negligible during this time.
The thermal energy of the aluminum doesn't change.
The heat capacities for both water and aluminum hardly change with temperature in this temperature range.
(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, doing 30721 J of work, and the temperature of the water and pan increases to 85.8° C. How much energy transfer due to a temperature difference was there from the stove into the system consisting of the water plus the pan?
Q = ? J