Problem 3: Molecules of a gas in a container are moving around at different speeds. Max- well's speed distribution law gives the probability distribution P(v) as a func- tion of temperature and speed: v e where Mis the molar mass of the gas in kg/mol, R = 8.31 J/(mol K), is the gas constant, Tis 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 v and T for 0s vs 1000 m/s and 70 S Ts 320 K for oxygen (molar mass 0.032 kg/mol). The answer should look like the following figure.) Temperature (K) 100 200 Molecules Speed (m/s)