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Maxwell Distribution of speeds

  1. Sep 2, 2007 #1
    1. The problem statement, all variables and given/known data
    4. Use the Maxwell distribution of speeds to determine the following:
    What fraction of carbon dioxide molecules has a kinetic energy in the range 1.0 eV to 1.1 eV at 1000 K and 3000 K?

    2. Relevant equations
    i just dont see how the kinetic energy can be used in the maxwell distribution of speeds?

    3. The attempt at a solution
    ok i tired a few things and this is what i came up with
    i think this is the only way to solve it, but iam not sure

    so i converted 1.0eV - 1.1eV to Jouls and i used KE=1/2mv^2 to calculate velocity

    so (V1)= square root{(1.60218e-19J)(2)/(44.01MM)}
    V1= 8.532e-11 m/s

    and V2= square root{(1.76239411e-19)(2)/(44.01)}
    V2= 8.94936e-11 m/s

    does this seem to be the right way on doing this
    and now since i have velocity i can use the maxwell distribution of speeds ?
  2. jcsd
  3. Sep 2, 2007 #2


    User Avatar
    Science Advisor
    Homework Helper

    You do the integral from 1.0 to 1.1

    Then do the integral from 0 to inf, and compare.
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