Practice portal › Kinetic Theory of Gases › Molecular Model of Pressure
Asked in NEET 1989 · Origin of pressure and wall impacts
Idea: at fixed volume the number of molecules and the space they move in are unchanged, so only their speed responds to the temperature.
vᵣₘₛ=√(3RT)/M, so raising T raises the mean speed.
The mean free path λ=1/(√2 nπ d²) depends on the number density alone, which has not changed.
Collision rate =(mean speed)/(mean free path), with a faster numerator and the same denominator.
So the number of collisions per unit time increases.
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