Thermodynamics of Hell

The following is an actual exam question given on a University of Washington chemistry mid-term. The answer by one student was so profound that the professor shared it with colleagues, via the Internet, which is, of course, why we have the pleasure of enjoying it as well.

in 1913, an Italian futurist-composer proudly displays his "noise-machines" or "intoners" (intonarumori) for use in his avante-garde musical compositions. When the instrument's crank was turned, it made this sound. Image Courtesy Of The Douglas Self Site.

Bonus Question: Is Hell exothermic (gives off heat) or Endothermic (absorbs heat)?

Most of the students wrote proofs of their belief using Boyle's Law (or some variant).
Gas cools off when it expands and heats up when it is compressed.

One student, however, wrote the following:

"First, we need to know how the mass of Hell is changing in time. So we need to know the rate at which souls are moving into Hell and the rate that they are leaving." "I think that we can safely assume that once a soul gets to Hell, it will not leave. Therefore no souls are leaving."

"As for how many souls are entering Hell, lets 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, 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 most 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 of the volume in Hell because Boyle's Law states that in order for the temperature and pressure in Hell to stay the same, then Hell must 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 the temperature and pressure in Hell will increase until all Hell breaks loose.

2. If Hell is expanding at a rate faster than the rate at which souls enter Hell, then the temperature and pressure will drop until Hell freezes over.

If we accept the postulate given to me by Teresa during my Freshman year, "That it will be a cold day in Hell before I sleep with you," and take into account the fact that I still have not succeeded in having that event take place, then #2 cannot be true, and thus I am sure that Hell is exothermic and will not freeze.