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

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Homework Help Overview

The problem involves a Carnot refrigerator that operates between two temperature reservoirs, taking heat from water at 0 degrees Celsius and rejecting it to a room at 27 degrees Celsius. The specific scenario presented is the conversion of 50 kg of water at 0 degrees Celsius into ice at the same temperature, raising the question of the energy required for this process.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster expresses uncertainty about how to set up the problem and seeks guidance on the necessary calculations. Some participants mention the existence of formulas related to the energy involved in phase changes and the Carnot cycle, but no specific methods are detailed.

Discussion Status

The discussion is ongoing, with participants exploring the requirements for solving the problem. There is a recognition of the need for foundational formulas, but no consensus or resolution has been reached regarding the approach to take.

Contextual Notes

The original poster indicates a lack of understanding of how to begin the problem, which may suggest constraints in their prior knowledge or resources. Additionally, forum rules emphasize the necessity of demonstrating some effort before receiving assistance.

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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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