Thermodynamics Final Temperature of Water

In summary, two pots, one copper and one aluminum, are heated with the same amount of heat from stoves. The final equilibrium temperature of the water in the pot with the lower specific heat, which allows for easier heat transfer, is expected to be higher. However, this conclusion may not be accurate due to the unknown variables involved.
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Homework Statement


A certain mass
f5047d1e0cbb50ec208923a22cd517c55100fa7b.png
of water in a copper pot is heated over a stove that releases
9866e3a998d628ba0941eb4fea0666ac391d149a.png
joules of heat to heat the water. Later the same mass
f5047d1e0cbb50ec208923a22cd517c55100fa7b.png
of water in an aluminum pot is heated over another stove that releases the same amount of heat
9866e3a998d628ba0941eb4fea0666ac391d149a.png
in order to heat the water. Then the water in which pot will have the higher final equilibrium temperature?

Homework Equations


Q = mc∆T

The Attempt at a Solution


I think the final temperature of the water in the metal pot with the least specific heat will be higher because that pot can transfer heat more easily. Is this correct?

(Edit) I believe you heat both of the pots for the same amount of time (not long enough to boil) and then stop the stove. Then wait until the equilibrium temperature for the metal and water is reached and compare it for both of them.[/B]
 

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Last edited:
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  • #2
Crazy question - way too many unknowns for a simple answer.
 

FAQ: Thermodynamics Final Temperature of Water

What is the final temperature of water after heating or cooling?

The final temperature of water after heating or cooling depends on the initial temperature of the water, the amount of heat added or removed, and the specific heat capacity of water. This can be calculated using the formula Q = m x c x ΔT, where Q is the heat added or removed, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.

How does the final temperature of water change when the amount of heat added or removed is increased?

The final temperature of water will increase when more heat is added and decrease when more heat is removed. This is because the change in temperature is directly proportional to the amount of heat added or removed, as shown in the formula Q = m x c x ΔT.

What is the effect of the initial temperature of water on the final temperature?

The initial temperature of water has a significant effect on the final temperature. If the initial temperature is higher, the final temperature will also be higher. Similarly, if the initial temperature is lower, the final temperature will also be lower. This is because the change in temperature is directly proportional to the initial temperature, as shown in the formula Q = m x c x ΔT.

How does the specific heat capacity of water affect the final temperature?

The specific heat capacity of water is the amount of heat required to raise the temperature of 1 gram of water by 1 degree Celsius. The higher the specific heat capacity, the more heat is required to raise the temperature of water. Therefore, a substance with a higher specific heat capacity will result in a lower final temperature compared to a substance with a lower specific heat capacity, when the same amount of heat is added or removed.

Is the final temperature of water affected by external factors?

Yes, the final temperature of water can also be affected by external factors such as pressure, altitude, and the presence of impurities in the water. These factors can alter the specific heat capacity of water and therefore affect the final temperature. Additionally, the method of heating or cooling, such as using a stove or a refrigerator, can also impact the final temperature of water.

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