A retiring Physical Chemistry professor was writing his last exam for a graduate
course in statistical thermodynamics. Being a bit bored with it all, and with a
well kept and wry sense of humor, he came up with but a single question:
"Is Hell endothermic or exothermic? Support your answer with a proof."
He had little idea of what to expect, or how to grade the results, but decided to
reward any student who was able to come up with a reasonable and consistent reply
to his query. One A was awarded.
Most of the students wrote proofs of their beliefs using Boyle's Law or some variant.
The top 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, 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. There
are two possible conditions.
One, 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 exponentially until all
Hell breaks loose.
Conversely, 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, condition
two.
We can solve this with the 1990 postulation of Theresa LeClair, the girl who lived
across the hall from me in first year residence. Since I still have not been successful
in obtaining a date with her, condition two above has not been met, and thus it
can be concluded that condition one is true, and Hell is exothermic.