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About maxwell-boltzmann distribution

  1. May 18, 2014 #1
    Base on maxwell-boltzmann distribution,we can calculate the average velocity of gas molecule .
    i read a book and it proves like that
    average velocity=[itex]\int vf(v) dv[/itex]
    I don't understand why we don't have to divide it by N because we should be calculating the average,but not the total.
    Would anyone tell me where i went wrong
  2. jcsd
  3. May 18, 2014 #2
    f(v) is a probability distribution, not the total number so you have already divided by N when calculating the probability distribution.
  4. May 18, 2014 #3
    by multiplying each bin of the velocities, you already normalize the velocity distribution
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