Problem: You just saw that the heat capacity of ice is ​Cs, ice = 2.09 J/g oC and that the heat of fusion of ice is 6.02 kJ/mol.​When a small ice cube at -10oC is put into a cup of water at room temperature, which of the following plays a greater role in cooling the liquid water: the warming of the ice from -10oC to 0oC , or the melting of the ice?

🤓 Based on our data, we think this question is relevant for Professor Ruddick's class at MEMPHIS.

FREE Expert Solution

We have to determine whether the warming of ice from -10 °C to 0 °C results in more cooling or its melting at 0 °C.


The given values are:

Cs, ice = 2.09 J/g•°C

ΔHfusion = 6.02 kJ/mol


To solve this problem, we will calculate the energy that is required to warm 1 mol of ice from -10 °C to 0 °C and compare it with the heat of fusion of ice.

View Complete Written Solution
Problem Details

You just saw that the heat capacity of ice is Cs, ice = 2.09 J/g oC and that the heat of fusion of ice is 6.02 kJ/mol.

When a small ice cube at -10oC is put into a cup of water at room temperature, which of the following plays a greater role in cooling the liquid water: the warming of the ice from -10oC to 0oC , or the melting of the ice?

Frequently Asked Questions

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.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Ruddick's class at MEMPHIS.