
Concept explainers
The mass of the ice added to cool the coffee.

Answer to Problem 53P
The mass of the ice added to cool the coffee is
Explanation of Solution
Heat flows from coffee to the ice is taken as positive, when it enters the ice to melt it and warm the melt water, and as taken as negative when it leaves from the coffee.
The sum of the heat flow into the ice to cool the coffee is equal to zero.
Here,
Write the equation for the amount of heat energy lost by the ice
Here,
Write the equation for latent heat of fusion (ice melts).
Here,
Write the equation for the amount of heat energy gained by the cool coffee
Here,
Conclusion:
Substitute the equation (II), (III) and (IV) in equation (I) to solve for
Substitute
Solve the above relation for
Therefore, the mass of the ice added to cool the coffee is
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