(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The following is a probability density distribution for an ideal gas:

[tex] p(v_x,v_y,v_z) = (2 \pi \sigma ^2)^{-3/2} \exp\left({\frac{v_x^2 +v_y^2+v_z^2}{2 \sigma^2}}\right) [/tex]

[tex]E = 0.5 m |\vec{v}|^2[/tex]

Find p(E).

2. Relevant equations

3. The attempt at a solution

I want to just plug in what E but that gives the wrong answer and I cannot figure out why.

[tex] p(E) = (2 \pi \sigma ^2)^{-3/2} \exp\left({\frac{E}{m \sigma^2}}\right) [/tex]

Why is that wrong? It makes no sense, but I just plugged in what E was!! This is really bothering me.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Ideal gas

**Physics Forums | Science Articles, Homework Help, Discussion**