Why does temperature increases proportionaly to pressure?

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I know PV = nRT, but what exactly is happening that explains this relation?

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Imagine a box with bunch of molecules inside. The molecules aren’t at absolute zero temperature, so they’re moving around inside the box, occasionally hitting the box wall. The molecules are exerting force against the wall. You could say, on average, the wall is feeling the force divided by area of the box, something something Newtons per square meter, also known as Pascal. If you increase the temperature, the molecule impacts become more forceful, so… larger force divided by the same area as before equals more Pascals.

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