Problem: After an afternoon party, a small cooler full of ice is dumped onto the hot ground and melts. If the cooler contained 5.60 kg of ice and the temperature of the ground was 43.0°C, calculate the energy that is required to melt all the ice at 0°C. The heat of fusion for water is 80.0 cal/g.

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FREE Expert Solution
FREE Expert Solution

We’re being asked to calculate the amount of energy required to melt 5.60 kg of ice at 0 ˚C. The problem is not asking us to calculate the heat needed to change the temperature of ice, which means we don’t need the given temperature of 43 ˚C.


Recall that during a phase transition, the temperature is constant. The amount of energy (q) needed to melt a given mass is calculated using:



where m = mass (in g), ΔHfusion = heat of fusion (in cal/g). Note that calorie (cal) is just another unit of energy similar to Joules (J) and 1 cal = 4.184 J.


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Problem Details

After an afternoon party, a small cooler full of ice is dumped onto the hot ground and melts. If the cooler contained 5.60 kg of ice and the temperature of the ground was 43.0°C, calculate the energy that is required to melt all the ice at 0°C. The heat of fusion for water is 80.0 cal/g.