8.41

[Shannon Wasley 2J]

Why when calculating the heat of the ice cube do we use the specific heat capacity of water (4.184)? Why wouldn't we use the specific heat capacity of ice (2.108)?

[Hubert Tang-1H]

It is because the ice melts at 0.0 C in the problem, and becomes water. We therefore use the specific heat of water rather than ice.

[Emma Miltenberger 2I]

In this problem, the ice melts and turns into water. Therefore, you use the specific heat capacity of water.

[Angel Ni 2K]

Use the specific heat capacity of ice when you are raising the temperature of ice. Because the ice is already at 0C, you don't need to use the specific heat capacity of ice because the ice doesn't get warmer than 0C. Instead, use the heat of fusion to calculate the energy needed to melt the ice, then use specific heat of liquid water to calculate the energy needed to raise the temperature.

[Sara Varadharajulu]

for these types of problems, I would highly encourage drawing a diagram---this helps you keep track of the state of the substance at hand so you now the correspond specific heat capacity. since ice melts into water before the water raises temperature, you need to use the specific heat capacity of water.

[DamianW]

In this problem do you have to account for fusion as well ?

[Emma Li 2C]

In this problem do you have to account for fusion as well ?

Yes! Since there is a difference in temperature between the ice cube and the water, the ice cube would first melt (enthapy of fusion) and then have a temperature change.