> squishes the particles of a substance closer together, theoretically limiting movement?
“theoretically” according to what theory?
The “mean free path” in a gas will be reduced upon compression, but that just limits how far it can travel between collisions. It doesn’t limit how fast it can do so, which is the relevant thing here.
I think the most important part everyone including OP is missing here is that we are absolutely not told whether the compression is isothermic, isobaric or adiabatic.
A gas will behave is totally different ways in all the 3 forms of compression.
Eg. Isothermic expansion maintains constant temperature throughout the compression making your question invalid.
Imagine hitting a baseball with a baseball bat. As the bat moves forward and hits it, the ball recoils going away faster than it was before: it gained kinetic energy from the bat. Contrariwise, if you bunt, so the bat is moving *away* from the ball, the ball slows down and loses kinetic energy.
Now think about a molecule striking the walls of a container. If the walls are moving inward, compressing the gas, the molecules will bounce off going faster than before, gaining kinetic energy — and thus temperature. And vice versa if the walls are moving outward.
You’re thinking temperature, not heat. These are related but different.
The reason compression increases temperature is because the energy of the compressed gas is now more concentrated into a smaller volume, and thus the mean kinetic energy of the *volume* of the substance is higher because it occupies less volume with the same stuff.
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