Made-up story of course, but so much fun nonetheless... Is Hell Exothermic or Endothermic?

Dr. Schambaugh is known for asking questions such as, "why do airplanes fly?" on his final exams. His one and only final exam question in May 1997 for his Momentum, Heat and Mass Transfer II class was: "Is hell exothermic or endothermic? Support your answer with proof."

Most of the students wrote proofs of their beliefs using Boyle's Law or some variant. One student, however, wrote the following:

"First, we postulate that if souls exist, then they must have some mass. If they do, then a mole of souls can also have a mass. So, at what rate are souls moving into hell and at what rate are souls leaving? I think we can safely assume that once a soul gets to hell, it will not leave.

Therefore, no souls are leaving. As for souls entering hell, let's look at the different religions that exist in the world today. Some of these religions state that if you are not a member of their religion, then you will go to hell. Since there are more than one of these religions and people do not belong to more than one religion, we can project that all people and all souls go to hell. With 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 in volume in hell. Boyle's Law states that in order for the temperature and pressure in hell to stay the same, the ratio of the mass of souls and volume needs to stay constant. Two options exist:

1. If hell is expanding at a slower rate than the rate at which souls enter hell, then the temperature and pressure in hell will increase until all hell breaks loose.
2. If hell is expanding at a rate faster than the increase of souls in hell, then the temperature and pressure will drop until hell freezes over.

So which is it?

If we accept the quote given to me by Theresa Manyan during Freshman year, "that it will be a cold night in hell before I sleep with you," and take into account the fact that I still have NOT succeeded in having sexual relations with her, then Option 2 cannot be true... Thus, hell is exothermic."

The student, Tim Graham, got the only A.

The piece quoted likely began as a humor post to the newsgroup rec.humor in 1997. Its roots, however, are far older: an unattributed parody of a scientific proof concluding Heaven was hotter than Hell appeared in a 1972 edition of Applied Optics, a story found in a 1962 book (reprinted from a 1960 magazine) is a mathematical "proof" that Heaven is hotter than Hell, and article published in a 1979 edition of the Journal of Irreproducible Results written by Dr. Tim Healey (written as a response to the Applied Optics piece) carried the joke one step farther by arguing that Hell was hotter still. Though these older pieces don't directly correlate with what has now become a standardized bit of Internet lore, the themes are similar enough for us to postulate that the older version sparked the newer ones.

Interestingly enough, the purported student's opening gambit, "We postulate that if souls exist, then they must have some mass," stands in opposition to the position taken centuries ago by the Roman Catholic Church. The Holy See had givin its official approval to a particular line of scientific thought, the vacuum, specifically allow for immaterial forms such as weightless souls and armies of angels in what would otherwise be a filled Universe. Without vacuums, places where measurable matter does not exist, both Heaven and Hell and all their denizens would have no place in the cosmic order of things. The time-honored Aristotelian assertion "Nature abhors a vacuum" had to be (and was) elbowed out of the way because the vacuum was a theological necessity.