00:01
A typical heating and cooling curve, such as that of ethanol, might look something like this, where you have temperature plotted on the y -axis versus energy or energy transfer in the form of heat on the x -axis.
00:12
And when you get to the freezing melting point, it's isothermal.
00:16
It goes flat.
00:16
There's no temperature change.
00:18
And then it might rise again in the liquid phase, go through an isothermal point, and the vaporization phase change, and then begin to increase again.
00:28
Now, there are three points of this curve that have a slope, right? so this is when the material is in the solid phase, this is when it's in the liquid phase, and this is when it's in the gas phase.
00:42
And all three of the energy changes during those points can be calculated with q equals m -c -delta -t, delta -t being the temperature change, c being the specific heat of the material, and m being the mass.
00:57
However, along the flat parts of the curve, we have a different formula.
01:06
So in the change from liquid to gas, going in that direction, we call it vaporization, going in the other direction from gas to liquid, we call it condensation.
01:17
But during this phase, the energy is used to break intermolecular forces and not really change the kinetic energy of particles.
01:25
So we use a little different formula since there's no, temperature change during a phase change.
01:31
We use the mass of the material times the heat of vaporization here, symbolized hv.
01:40
And between the solid and the liquid, if we're going to solid liquid, that direction, we know that is called melting, going from liquid to solid is freezing.
01:50
And during that phase change, we would calculate the energy.
01:53
You need to go through that phase change by taking the mass times hf, the heat of fusion.
02:00
So notice there's no delta t or temperature change during that time.
02:04
Now, let's assume we have a sample of ethanol that is 85 .3 grams of ethanol...