What is the Relationship Between Work and Temperature Change in Melting Ice?

In summary, the conversation discusses calculating the work or energy given to ice and how much is needed to melt it. It also mentions the increase in potential energy and how the remaining work or energy goes towards raising the temperature of the water. The equation and data needed for these calculations are provided, but the specific heat capacity for water may need to be obtained.
  • #1
ayans2495
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Homework Statement
An insulated container holding 4.55kg of ice at 0.00 degrees Celsius has 2.65 MJ of work done on it while a heater provides 14600 J of heat to the ice. If the latent heat of fusion of ice is 3.34 x 10^5 Jkg^-1, calculate the final temp of the water. Assume that the increase in internal energy is first due to an increase in the potential energy then an increase in the kinetic energy.
Relevant Equations
Q=mcΔT
Q=ml
ΔU = Q - W
1614399243618.png
 
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  • #2
Hi,
1. Where is your work ?
2. What do the symbols stand for ?
3. What is your question ?

Did you read the guidelines ?
 
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Likes Chestermiller
  • #3
Calculate how much work/energy is given to the ice altogther.

Calculate how much of this is needed to melt the ice. This is the "due to an increase in the potential energy" part of the question. You have the equation and the data you need.

Once the ice has melted, the rest of that work/energy goes into raising the kinetic energy, ie the temperature of the water. Again, you have the equation, although the shc for water isn't stated in what you've give us. You can easily find it online but I'd suggest using whatever value you've been given in class as the value is quoted with varying degrees of precision and it's probably best to use the one your teacher/lecturer/textbook expects.
 

1. What factors affect the final temperature of water?

The final temperature of water is affected by several factors, including the initial temperature of the water, the amount of water, the surrounding temperature, and the presence of any other substances in the water.

2. How can I calculate the final temperature of water?

The final temperature of water can be calculated using the formula Q = mCΔT, where Q is the heat energy transferred, m is the mass of water, C is the specific heat capacity of water, and ΔT is the change in temperature.

3. Does the container or vessel holding the water affect the final temperature?

Yes, the container or vessel holding the water can affect the final temperature. Materials with high thermal conductivity, such as metal, can transfer heat to or from the water, resulting in a different final temperature compared to a container with low thermal conductivity, such as plastic.

4. Why does water reach a maximum temperature when heated?

Water reaches a maximum temperature when heated because of its high specific heat capacity. This means that it requires a large amount of heat energy to increase its temperature. Once the water reaches its boiling point, the heat energy is used to convert the water into steam, rather than increasing its temperature.

5. How does the final temperature of water change in a closed system?

In a closed system, the final temperature of water will increase until it reaches a state of thermal equilibrium. This means that the water and its surroundings have the same temperature, and there is no more transfer of heat energy between them. The final temperature will depend on the initial temperature and the specific heat capacities of the water and its surroundings.

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