Thermodynamics of meep

A thermodynamics professor had written a take home exam for his graduate students. It had one question: "Is meep 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 meep is changing in time. So, we need to know the rate that souls are moving into meep and the rate they are leaving. I think that we can safely assume that once a soul gets to meep, it will not leave. Therefore, no souls are leaving. As for how many souls are entering meep, 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 meep. Since there are more than one of these religions and since most people do not belong to more than one religion, we can project that all people and all souls go to meep. With birth and death rates as they are, we can expect the number of souls in meep to increases exponentially. Second, we look at the rate of change of the volume in meep because Boyle's Law states that in order for the temperature and pressure in meep to stay the same, the volume in meep has to expand as souls are added. This gives two possibilities:

1. If meep is expanding at a slower rate than the rate at which souls enter meep, then the temperature and pressure in meep will increase until all meep breaks loose.
2. Of course, if meep is expanding at a rate faster than the increase of souls in meep, then the temperature and pressure will drop until meep freezes over.

So which is it? If we accept the postulate given to me by Miss Therese Banyan during my freshman year that, "It will be a cold night in meep before I go bowling with you," and take into account the fact that I still have not succeeded with her, then #2 cannot be true, and so meep is exothermic.

The student got the only "A".

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