# Maxwell Distribution of speeds

1. Sep 2, 2007

### zeshkani

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. Sep 2, 2007

### malawi_glenn

You do the integral from 1.0 to 1.1

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