(4.3.1)--2.10Derivingtheformulaforthewall.pdf
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1、Deriving the formula for the wall-hitting number and pressure of gas molecules from Maxwell velocity distributionDeriving the formula for the wall-hitting number and pressure of gas molecules from Maxwell velocity distribution The wall-hitting number of gas molecules 1 The formula for pressure of ga
2、s 2 In previous lesson,we used a simple way to derive the average number of molecules hitting per unit area in per unit time,which is6n vv In the derivation we simply divide the gas molecules in the cubic vessel into six equal groups,with each group moving vertically to one wall,and we assume that t
3、he average speed of each molecule is So lets do it in a more rigorous way(actually there are two ways.One is the way using velocity distribution,and the other is the one using speed distribution.Here I only introduce the wall-hitting number derived from the velocity distribution)1.the wall-hitting n
4、umber of gas molecules There is a container.Whats in the container is the ideal gas with a molecular density of n.Take an area element dA on the inner wall of the gas.If we make a coordinates with the center of dA being the origin O.Now the vertical direction is the X-axis.For the convenience of thi
5、s velocity that were going to think about we give a direction in the velocity space.This velocity space is going in the opposite direction of our coordinate space.molecules with the velocity of vxvx+dvx,vyvy+dvy,vzvz+dvz are going to collide with dA in dt time Only the molecules in an oblique cylind
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