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Is hell endothermic or exothermic

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So, at this college there was an extra credit question "Is hell endothermic or exothermic". This is what one kid wrote:

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 that 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, 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 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. So, 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 (i.e.,Hell is exothermic).

Of course, if hell is expanding at a rate faster than the increase
of souls in hell, than the temperature and pressure will drop until
hell freezes over (i.e.,Hell is endothermic). So which is it? If we
accept the postulate given by Ms.Therese Banyan during my freshman
year, "That it will be a cold night in hell before I go out with you,"
and take into account the fact that I still have not succeeded in
having a relationship with her, the second case cannot be true.
Therefore, hell is exothermic.

The kid was the only one who got credit.

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