Maxwell-Boltzmann distribution help

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1. Feb 21, 2015

Lily Wright

1. The problem statement, all variables and given/known data
Use the Maxwell-Boltzmann distribution of speeds to find the fraction of F2 molecules at 500 K which have speeds in the range 240 to 250 m s -1
(HINT: determine the fraction of the total area under the distribution curve represented by the part between these two speeds. Assume that the distribution curve is linear over this small range)

2. Relevant equations

3. The attempt at a solution
So I'm guessing I want to integrate this equation between 240 and 250 m s-1
So it simplifies to ∫v2e-mv2/2KTdv
I'm not very good at integrating so I genuinely have no idea what happens after that

2. Feb 21, 2015

Redbelly98

Staff Emeritus
You don't have to integrate if you use the given hint: "Assume that the distribution curve is linear over this small range"

3. Feb 21, 2015

Lily Wright

Ah ok so would I just work it out for each velocity?

4. Feb 22, 2015

Redbelly98

Staff Emeritus
Yes.