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Speed distribution for a sample of N gas particles

  1. Feb 20, 2007 #1
    1. The problem statement, all variables and given/known data
    http://www.fileden.com/files/2006/11/15/381656/19.39.png [Broken]

    The figure shows a hypothetical speed distribution for a sample of N gas particles (note that P(v) = 0 for speed v > 2v0).

    (b) What is the value of vavg/v0?

    2. Relevant equations

    vavg = int[vP(v)]dv

    3. The attempt at a solution

    The solutions manual says that, for the triangular portion of the distribution, P(v) = av/v0.
    This may be a stupid question, but how does one get that?

    (only need help with that portion of the problem for now)
    Last edited by a moderator: May 2, 2017
  2. jcsd
  3. Feb 20, 2007 #2


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    Science Advisor
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    Well, for the given function P(v), P(0)=0, P(v0)=a, and the function is linear in v. So it looks like your graph.
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