Hmmmm... I think I understood everything until the part about how those two things compounded each other. Does that mean they would cancel each other out, have an unknown affect together, or simply be unable to happen at the same time? Or something.
They increase one another.
Heats up. Drastically.
It'll get hotter, not colder. Much, much hotter.
The formula for the pressure of a gas is P = n * R * T / V. P is pressure, of course. n is how much of the gas is in there - this isn't going to change. R is the gas constant, it's not going to change so it's not really relevant to your question (though, it's 8.314472 if you want to broaden your horizons). T is temperature. V is volume.
You're increasing the pressure - mathematically speaking, you're multiplying the whole equation by let's say 1.3. Now, that increase has to come from somewhere on the other side of the equation. R's not going to change (don't go breaking fundamental physical constants!

). You can either increase the amount of atoms, decrease the volume, or increase the temperature. Any one of these things will, however, have the same effect.
The atoms are either closer together, there are just
more of them in the same space (same effect), or they're moving a lot faster. (Faster atoms = higher temperature) This means they're hitting one another a lot more, and therefore, they're setting off a lot more fusion reactions - increasing the temperature even further.
Which again increases the rate of reaction, which makes things even hotter...
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