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Homework Help: Mean Free Path

  1. Jan 13, 2005 #1
    In a tank full of oxygen, how many molecular diameters d (on average) does an oxygen molecule travel (at 1.00 atm and 21.0°C) before colliding with another O2 molecule? (The diameter of the O2 molecule is approximately 3.60 10-10 m.)

    >> I don't know why webassign is telling me this is wrong and I can't figure out what I'm doing wrong. I used this equation:

    l=1/[(2^.5)(pi)(d^2)(nsubv)]

    Since n subv is equal to N/V which is equal to P/kb*T, I got 2.49e25.

    Then I just plugged everything in... and got 1.43e7 and divided by the diameter to see how many times it would cross that distance... and I got 3.98e16

    What did I do wrong??
     
  2. jcsd
  3. Jan 13, 2005 #2

    dextercioby

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    Homework Helper

    The result is absurd.Check your numbers.
    [tex] \lambda=\frac{1}{\sqrt{2}\pi n d^{2}}=\frac{kT}{\sqrt{2}\pi p d^{2}} [/tex]

    Plug the constants and the numbers in SI units correctly which means carefully.


    Daniel.
     
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