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Hell is exothermic

Actual question given on an University of Washington chemistry mid term:

"Is Hell exothermic (giving off heat) or endothermic (absorbing 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 day in Hell   before  I sleep with you," AND take into account the fact that I still have not  succeeded in that area, then (2) cannot be true.

Therefore, Hell is exothermic.

This student received the only A!



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