Can't the trick (finding final temperature)

AI Thread Summary
To find the final temperature of the coffee after adding the ice cube, the heat lost by the coffee must equal the heat gained by the ice. The specific heat of water and the latent heat of fusion are crucial for these calculations. The user has attempted the problem multiple times but is encountering a consistent error in their calculations. They understand the principle of energy conservation in an isolated system but are seeking clarification on their approach. A detailed step-by-step solution is requested to resolve the confusion.
nabilsaleh
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Homework Statement



An insulated Thermos contains 130 cm3 of hot coffeeat 80.0 degrees C. You put in a 12.0 g ice cube at its meltingpoint to cool the coffee. By how many degrees has your coffeecooled once the ice has melted? Treat the coffee as though it werepure water and neglect energy exchanges with the environment.


Homework Equations



The specific heat of water is 4186 J/kg·K. The latent heat of fusion is 333 kJ/kg. The density of water is 1.00 g/cm3.



The Attempt at a Solution




I know the way to solve it but there is a little bug that's cuzing me to go off track and end up getting a wrong answer! I've tried solving this question at least 13 times now. I know that sum of all Heats in the system is equal to zero because it's kinda isolated system. And i know that the heat lost by coffee is equal to the heat gained by the ice!
 
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Show your work, please.

ehild
 
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