Will hell freeze over?

The following is an actual question given on a University of Washington chemistry mid-term. The answer was so “profound” that the professor showed it with colleagues, via the internet, which is, of course, why we now have the pleasure of enjoying it as well.

Bonus Question:
Is hell exothermic (gives off heat) or endothermic (absorbs heat)?

Most of the students wrote proofs of their beliefs using Boyle’s law (gas cools off when it expands and heats up when it is compressed) or some variant.

One student, however, wrote the following:
First, we need to know the mass of hell is changing in time. So we need to know the rate that souls are moving into hell and the rate they are leaving. I think that we can safely assume that once a soul gets into hell, it will not leave. Therefore, no souls are leaving.
As for how many souls are entering Hell, let’s look at the different regions that exist in the world today. Some of these regions state that if you are not a member of their religion you will go to hell.
Since there are more than one of these religions and since people do not belong to more than one religion we can project that all souls go to hell.
With the birth and death rates as they are, we can expect the number of souls in hell to increase exponentially.
Now we look at the rate of change of the volume of Hell because Boyle’s law states that in order for the temperature and pressure in hell to stay the same the volume of hell has to expand proportionately as souls are added. This gives two possibilities:
1. If hell is expanding at a slower rate than the rate at which souls enter Hell, then all hell will break loose.
2. Of course, if Hell is expanding at a faster rate than the increase of souls in hell, then the temperature will drop until hell freezes over.
So which is it!?
If we accept the postulate given to me by Ms. Teresa Banyan during my freshman year, “…that it will be a cold day in hell before I sleep with you”, and take into account that the fact I still have not succeeded in having sexual relations with her, then #2 cannot be true, and thus I am sure that Hell is exothermic and will not freeze.

The student received an “A” given.