How Does Latent Heat Affect Ice Melting in an Insulated System?

AI Thread Summary
In an insulated system with 250 g of ice at 0 °C and 600 g of water at 18 °C, the final temperature and the amount of remaining ice at equilibrium are determined by the principle of heat exchange. The heat gained by the ice equals the negative of the heat lost by the water. This relationship allows for the calculation of the final temperature and the mass of ice that remains after the system reaches thermal equilibrium. The discussion confirms the validity of using this heat exchange principle for solving the problem. Understanding latent heat is crucial in analyzing the melting process of ice in such systems.
caesius
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Homework Statement


In an insulated vessel, 250 g of ice at 0 °C is added to 600 g of water at 18 °C. (a) What is the final temperature of the system? (b) How much ice remains when the system reaches equilibrium?


Homework Equations





The Attempt at a Solution


If I'm not mistaken: heat gained by ice = - heat lost by water

q
 
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caesius said:
If I'm not mistaken: heat gained by ice = - heat lost by water
You are indeed correct.
 

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