Chapter 10, Problem 10P

Molecules of a gas in a container are moving around at different speeds. Maxwell’s speed distribution law gives the probability distribution P( v) as a function of temperature and speed:

$P(v)=4\pi {\left(\frac{M}{2\pi RT}\right)}^{3/2}{v}^2{e}^{-M{v}^2/2RT}$

Where M is the molar mass of the gas in kg/mol, R = 8.31J/(mol K), is the gas constant, T is the temperature in kelvins, and v is the molecule’s speed in m/s. Make a 3-D plot of P(v) as a function of i and T for $0\le v\le 1,000$ m/s and $70\le T\le 320$ K for oxygen (molar mass 0.032 kg/mol).