Final temperature - Thermodynamics problem

In summary, a 2kg frying pan with a heat capacity of 490 J/kg/K and at a temperature of 70C is placed into a bowl containing 4kg of water with a heat capacity of 4200 and at a temperature of 20C. The final temperature of the water in the bowl, assuming negligible heat capacity and no heat flow to or from the surroundings, can be found using the equation E = mcΔT, where m is mass, c is heat capacity, and ΔT is the temperature change. The final temperature will be the same for both the pan and the water, and the heat lost by the cooling material and heat gained by the warming material can be found using energy conservation principles.
  • #1
Doyouevenlift
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1. A frying pan, weighing 2kg (heat capacity = 490 J/kg/K) and at a temperature of 70C is plunged into a bowl containing 4kg of water (heat capacity = 4200) at 20C. Assuming the bowl has negligible heat capacity and assuming that there is no heat flow to or from the surroundings, what is the final temperature of the water in the bowl to the nearest C?
2. E = mcΔT, where m is mass, c is heat capacity and T is the temperature
3. 50 = ΔT_P + Δ T_W [/b], where the first term is the temperature change of the pan and the second term is the temperature change of water. But I don't know how to continue this problem.
 
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  • #2
Suppose that the two materials end up at some common final temperature between the two starting temperatures. Write expressions for the heat lost by the one that's cooling, and heat gained by the one that's warming. Then apply energy conservation...
 

Related to Final temperature - Thermodynamics problem

What is the definition of final temperature?

Final temperature refers to the equilibrium temperature that a system reaches after a thermodynamic process. It is the temperature at which the system's internal energy is at its minimum and the system is in a state of thermal equilibrium.

How do you calculate final temperature in a thermodynamics problem?

To calculate final temperature, you need to know the initial temperature of the system, the heat added or removed from the system, and the specific heat capacity of the substance. Using the formula Q = mcΔT, where Q is the heat added or removed, m is the mass of the substance, c is the specific heat capacity, and ΔT is the change in temperature, you can solve for the final temperature.

What factors can affect the final temperature in a thermodynamics problem?

The final temperature in a thermodynamics problem can be affected by the amount of heat added or removed, the specific heat capacity of the substance, and the initial temperature of the system. Other factors such as the type of substance and the presence of external factors like pressure can also influence the final temperature.

Why is it important to consider final temperature in a thermodynamics problem?

Final temperature is important in a thermodynamics problem because it determines the state of thermal equilibrium of a system. It also helps us understand how heat and energy are transferred and transformed in a system, which is crucial in many scientific and technological applications.

What are some real-life examples of thermodynamics problems involving final temperature?

A common example of a thermodynamics problem involving final temperature is the cooling of a cup of hot coffee. The final temperature of the coffee will depend on the initial temperature, the amount of heat lost to the environment, and the specific heat capacity of the coffee. Another example is the heating of a house, where the final temperature inside the house will depend on the initial temperature, the amount of heat added by the heating system, and the specific heat capacity of the house materials.

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