Actual question given on a University of Washington
chemistry midterm:
"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 grade.