How Much Energy is Needed for a Carnot Refrigerator to Convert Water to Ice?

AI Thread Summary
To determine the energy required for a Carnot refrigerator to convert 50 kg of water at 0 degrees Celsius to ice at the same temperature, one must utilize the principles of thermodynamics. The Carnot cycle involves calculating the work done based on the heat absorbed from the water and the heat rejected to the surrounding room at 27 degrees Celsius. Key formulas include the latent heat of fusion for water and the efficiency of the Carnot cycle, which depends on the temperatures involved. The user expresses confusion about setting up the problem and seeks guidance on how to apply these equations. Understanding these concepts is essential for solving the problem effectively.
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Homework Statement



can you please help me solve this problem?

A carnot refrigerator takes heat from water @ 0 degrees celsius and rejects heat to a room at 27 degrees celsius. If 50 kg of water @ 0 degrees celsius is converted to ice @ 0 degrees celsius, how much energy must be supplied to the refrigerator?

please please help me find the answer..


Homework Equations





The Attempt at a Solution

 
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Per the rules of the forum, you need to show some attempt at working the problem on your own before you can receive help here.
 
i would've done that if i had even any idea how to setup the problem.. so basically I am clueless how to do this one..
 
There is a formula for calculating the energy involved in freezing or melting water. There is a formula for a Carnot cycle, relating the work done, the heat transferred, and the temperatures involved.

These formulas should be found in your textbook or class notes.
 
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