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posted by  jojo5 on 7/22/2009 4:54:49 PM  |  status: Live  |  Earned Karma: 25

Physics

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Question Details:
A 50.0 g ice cube is dropped into 200 g of water in a thermally insulated container. If the water is initially at 25.0 degrees Celsius and ice is at -15.0 degrees Celsius, then what is the final equilibrium temperature?
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Sage
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posted by MasterChef on 7/22/2009 5:28:32 PM  |  status: Live
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Response Details:
The ice will gain heat from the water:


The ice will also undergo a phase change which takes energy


 Water must lose an amount of energy


Energy must be conserved. So the heat lost by the water plus the heat gained by the ice plus the phase change must be zero.



We anticipate that the temperature of the water will be lower and the temperature of the ice will be lower (compared to their initial temperatures.

The final temperature of the ice and water are equal so we solve the above expression for Tf





I used the following values:









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