Problem: An open container holds ice of mass 0.570 kg at a temperature of -17.5°C. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 780 J/minute. The specific heat of ice to is 2100 J/kg•K and the heat of fusion for ice is 334 x 103 J/kg.How much time tmelts passes before the ice starts to melt?From the time when the heating begins, how much time t  rise does it take before the temperature begins to rise above 0°C?

FREE Expert Solution

A) For the first question, we’re being asked to calculate the time it takes before the ice starts to melt.

So we have to calculate the amount of heat required to convert 0.570 kg of ice at -17.5 ˚C to 0.570 kg of ice at 0˚C

Then we have to get the time to reach that amount of heat based on the heat supplied (780 J/minute). 

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Problem Details

An open container holds ice of mass 0.570 kg at a temperature of -17.5°C. The mass of the container can be ignored. Heat is supplied to the container at the constant rate of 780 J/minute. The specific heat of ice to is 2100 J/kg•K and the heat of fusion for ice is 334 x 103 J/kg.

How much time tmelts passes before the ice starts to melt?

From the time when the heating begins, how much time t  rise does it take before the temperature begins to rise above 0°C?

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Heating and Cooling Curves concept. You can view video lessons to learn Heating and Cooling Curves. Or if you need more Heating and Cooling Curves practice, you can also practice Heating and Cooling Curves practice problems.