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AS the temp goes up each gas molecule moves faster,

thus when it hits the walls of the chamber (producing what we call pressure),

it hit harder.

Another Answer

When any molecule absorbs heat, the molecule actually swells slightly, as the orbit of some of the electrons change to a higher energy level. One molecule swelling a little bit doesn't amount to much, but when the trillions of molecules per cubic inch all swell a little bit each, this amounts to a sizable change in volumn. All other perameters kept the same, the accumulated swelling manifests as an increase in pressure.

This is also why warm free molecules rise in a body of similar molecules. When a molecule swells, it occupies more space without increased mass. This causes the molecule to migrate toward the top of the container, whatever that may be.

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Q: Why does raising temperature of a gas increase its pressure when other factors are kept constant?
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