When ice is melted into a liquid and then a gas, a thermometer would show you two interesting things:
So it takes energy to change state as well as to raise the temperature of a substance!

How much energy?  It depends on the substance, of course!


To melt a substance, you must add the "heat of fusion" and to boil it, you must add the "heat of vaporization".  This is typically given as "L".  For water, Lfusion=3.34E5J/Kg and Lvap=22.6E5J/Kg

To find this amount of energy, use this equation: Q=mL


AN OLD PROBLEM MIGHT LOOK LIKE THIS:

How much heat does it take to get 2Kg of water from 90°C to 110°C?

Your answer would have been Q=mcDT=(2Kg)(4190J/Kg°C)(110-90°C)=167600J

However, now we see that we are wrong, because the temps given overlap the phase change for water at 100°C.  We must heat the water to 100°C, then boil it, and continue to heat it to 110°C.

Let's break the problem into steps...