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Average distance between gas molecules

  1. Sep 9, 2013 #1
    1. The problem statement, all variables and given/known data

    Show how you would find the average distance between gas molecules at a specific volume, pressure and temp?

    Given;
    Pressure=P (torr)
    Temp=T (Kelvin)
    n=number of mol
    N=number of molecules
    Volume=V (cm)^3

    2. Relevant equations

    pv=nRT N=n*(NA) N/Volume

    3. The attempt at a solution

    I am having a hard time understanding how to set up an equation that would show the average distance between molecules.

    If I take the number of molecules (N) / Volume= N / (cm)^(3) so how would I find the distance between them??? any help would be greatly appreciated. thank you
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Sep 9, 2013 #2
    The most obvious way to do this would be to say that on average, each particle occupies a volume of V/N. Because the gas has no lattice or anything which breaks rotational symmetry, you might think that on average, the volume that each particle occupies is a sphere surrounding that particle. The average distance between the particles would be the distance between the centerpoints of two neighboring balls each with volume V/N.
     
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