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Asked in CBSE AIPMT 1989 · Origin of pressure and wall impacts
Given: a fixed volume, with the temperature raised.
Idea: the rate at which molecules strike the walls is set by their speed, and their speed is set by the temperature.
Mean speed: v∝√T, so heating speeds the molecules up.
The volume and the number of molecules are unchanged, so the number density is unchanged.
Collision rate with the walls ∝ nv, and only v has changed.
So the number of wall collisions per unit time increases.
This is also why the pressure rises: each impact is harder and there are more of them.
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