Maxwell kinetic energy distribution

[TeslaPow]

Hello.

I need some guidance on how to find the fraction of molecules with KE between K1 and K2 from the Maxwell kinetic energy distribution function.

Here's an link to an earlier post where the speed distribution was integrated, how will I proceed with the kinetic energy distribution?

https://www.physicsforums.com/threads/maxwell-boltzmann-distribution.757539/#post-4772356

 

[jambaugh]

Take your first equation from your first insert, the speed distribution which is a probability density function.
Now multiply by your total number of particles to make it a number density function. Remembering that $KE=\tfrac{1}{2}m v^2$ you have $v_{1,2}=\sqrt{\frac{2K_{1,2}}{m}}$ to get your range of speeds $v_1$ and $v_2$. Integrate the density function between these two values.

 

[DrClaude]

There is already a thread on the topic:
https://www.physicsforums.com/threads/maxwell-kinetic-energy-distribution.984342/

Do not open multiple threads with the same question. Also, your question was answered in that other thread. If you do not understand the answer, ask there.

Thread closed.