Unformatted text preview: we have encountered so far. It is customary to express the integral in terms of a new function call the error function, which is defined by ∫= z x dx e z erf 2 1 2 2 ) ( Values of the error function are listed in some texts and on the internet. (a)Show that ) ( } { Pr w erf v v v ob x x x = ≤ ≤(b) Calculate the probability that ( 29 ( 29 2 1 2 1 2 2 m kT v m kT x ≤ ≤5. The distribution of speed for a gas in two dimensions is given by dv ve kt m dv v F kT mv 2 / 2 ) (= Using this expression derive formulas for <v> and ,<v 2 > for a two dimensional gas. 6. What is the most probably kinetic energy for a molecule in the gas phase?...
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 Fall '09
 Goux
 Physical chemistry, Atom, pH, Interstellar medium, Mean free path, Pr ob, kT dv kt

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