Calculating Ice Cube Mass for Coffee Cooling - Question and Solution

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To calculate the mass of an ice cube needed to cool 300 mL of coffee from 90 degrees C to 60 degrees C, the specific heat of coffee can be assumed to be similar to that of water. The solution requires accounting for both the latent heat of melting ice and the specific heat of ice as it warms to 0 degrees C. The cooling process involves energy transfer from the coffee to the ice, necessitating precise calculations. This approach will yield the mass of the ice cube required for the desired temperature change. Understanding these principles is crucial for solving the problem accurately.
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Homework Statement


Your 300 mL cup of coffee is too hot to drink when served at 90 degrees C. What is the mass of an ice cube, taken from a -20 degree C freezer, that will cool your coffee to 60 degrees C?


Homework Equations





The Attempt at a Solution



I'm pretty sure I can do this problem, but the only thing I am unsure of is what the specific heat of the coffee is. Should I assume that is the same as that of liquid water? Thanks
 
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Yes - there isn't much coffee in coffee and adding small amounts of solutes doesn't change the specific heat much, it does have a large effecton freezing/boiling points.

Remember to include the latent heat of the ice melting as well as the specific heat of ice heating upto 0!
 

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