Support your answer with a proof. This is a fundamental law in chemistry that describes how the temperature of a gas varies with its pressure. When a gas expands, it cools off. When a gas is compressed, it heats up. This is why, when you pump up a tire with a hand pump, the gas is compressed and heats up the pump barrel.
Air conditioners work by first compressing a gas, causing it to heat up.
Then the gas is allowed to cool. Finally, it is permitted to expand, thus cooling its surroundings. For this, he had to first calculate whether there was a net increase in the number of souls in Hell with time, or a reduction. From basic theological assumptions, no souls ever leave Hell. Hell is conceived of as a place of punishment where its inmates are tortured for all eternity.