Download presentation
Presentation is loading. Please wait.
1
Maxwell-Boltzmann velocity distribution
2
Maxwell-Boltzmann speed distribution
3
Maxwell-Boltzmann speed distribution
4
The probability density function
The random motions of the molecules can be characterized by a probability distribution function. Since the velocity directions are uniformly distributed, we can reduce the problem to a speed distribution function which is isotropic. Let f(v)dv be the fractional number of molecules in the speed range from v to v + dv. A probability distribution function has to satisfy the condition We can then use the distribution function to compute the average behavior of the molecules:
Similar presentations
![E(X 2 ) = Var (X) = E(X 2 ) – [E(X)] 2 E(X) = The Mean and Variance of a Continuous Random Variable In order to calculate the mean or expected value of.](/12/3428304/big_thumb.jpg "E(X 2 ) = Var (X) = E(X 2 ) – [E(X)] 2 E(X) = The Mean and Variance of a Continuous Random Variable In order to calculate the mean or expected value of.>")
