Speed distribution for a sample of N gas particles

  • #1

Homework Statement


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?


Homework Equations



vavg = int[vP(v)]dv


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)
 
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Answers and Replies

  • #2
Dick
Science Advisor
Homework Helper
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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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