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http://en.wikipedia.org/wiki/Maxwell_Speed_Distribution

it talks about deriving the distribution of the range of particles within a given range of speeds but without any detail.

They talked about this, "In 3-dimensional velocity space, the velocity vectors corresponding to a given speed v live on the surface of a sphere with radius v. The larger v is, the bigger the sphere, and the more possible velocity vectors there are. So the number of possible velocity vectors for a given speed goes like the surface area of a sphere of radius v." Which I completely do not understand.