Thermal Energy Transfer in a Boiling Water and Aluminum Pan System

In summary, a 140 gram of boiling water (at a temperature of 100° C and a heat capacity of 4.2 J/gram/K) is poured into an aluminum pan with a mass of 1050 grams and an initial temperature of 26° C (with a heat capacity of 0.9 J/gram/K). For part (a), the temperature of the water after a short time is 54.384° C. For part (c), after placing the pan on a hot electric stove and using a beater to stir the water, 24062 J of work is done and the temperature of the water and pan increases to 79.7° C. The energy transferred from the stove into
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Homework Statement


140 grams of boiling water (temperature 100° C, heat capacity 4.2 J/gram/K) are poured into an aluminum pan whose mass is 1050 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?

(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 24062 J of work, and the temperature of the water and pan increases to 79.7° 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?


Homework Equations





The Attempt at a Solution


For (a) I got 54.384
 
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° C using the equation q = mc(Tf - Ti) where q is the heat transfer, m is the mass of the water, and c is the heat capacity.For (c) I got 24,062 J for the energy transferred from the stove into the system.
 

Related to Thermal Energy Transfer in a Boiling Water and Aluminum Pan System

1. What is thermal energy problem?

Thermal energy problem refers to the difficulty in managing and controlling the transfer of heat in a system. This can result in inefficient energy usage and potential damage or malfunction of equipment.

2. What are the causes of thermal energy problem?

Thermal energy problem can be caused by various factors such as poor insulation, faulty equipment, inadequate ventilation, or improper use of heating and cooling systems.

3. How can thermal energy problem be solved?

Thermal energy problem can be addressed through proper insulation, regular maintenance of equipment, and efficient use of heating and cooling systems. It is also important to identify and fix any underlying issues that may be causing the problem.

4. What are the consequences of not addressing thermal energy problem?

If thermal energy problem is not addressed, it can lead to increased energy costs, reduced efficiency of equipment, and potential safety hazards. It can also contribute to environmental issues such as carbon emissions.

5. How can I prevent thermal energy problem?

To prevent thermal energy problem, it is important to regularly maintain and inspect equipment, properly insulate buildings, and use energy-efficient heating and cooling systems. It is also helpful to educate individuals on proper energy usage and conservation practices.

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