140 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 26° C (the heat capacity of aluminum is 0.9 J/gram/K).a.) After a short time, what is the temperature of the water?(I got 55.24)b.)Next you place the pan on a hot electric stoveWhile the stove is heating the pan, you use a beater to stir the water, doing 27762 J of work, and the temperature of the water and pan increases to 80.8° CHow much energy transfer due to a temperature difference was there from the stove into the system consisting of the water plus the pan?(having trouble with this one)
The two heat capacities can be combined to make the calculations simpler(0.91000+4.2140)T_deltaWork or Energy input Add the mechanical work to the system first, and determine the new temperature, then make up the last sliver between 80.8 and the intermediate value using the same energy capacityThe temperature difference is rather small, and the energy added is less than half of the mechanical energy input as waste heatI leave you to determine the actual valuesThe question is explicitly showing the pan/water as a system with a common temperature, and makes no suggestion that heat is lost to air during the processIn reality neither of these would be the case - the base of the pan would have a higher temperature than the walls, and the water would heat slower than the base of the pan, losing heat from both the pan and water to the surroundings.
you can try clay modelling
