Nature of Hell

A thermodynamics professor had written a take home exam for
his graduate students. It had one question: Is Hell exothermic (gives
off heat) or endothermic (absorbs heat)? Support your answer with a
proof."

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 how 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 to Hell, it will not leave. Therefore, no souls are leaving. As
for how many souls are 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 since 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 of the volume in 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 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. Of course, 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 postulate given to me by Ms. Therese Banyan during my
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 #2 cannot be true,
and so Hell is exothermic.

The student got the only A.