File tree Expand file tree Collapse file tree 1 file changed +6
-6
lines changed Expand file tree Collapse file tree 1 file changed +6
-6
lines changed Original file line number Diff line number Diff line change 2222The average speed can be calculated by integrating the Maxwell-Boltzmann distribution
2323from 0 to infinity and dividing by the total number of molecules. The result is::
2424
25- ---------------------
25+ ----------------------
2626 | v_avg = √(8RT/πM) |
27- ---------------------
27+ ----------------------
2828
2929The most probable speed is the speed at which the Maxwell-Boltzmann distribution
3030is at its maximum. This can be found by differentiating the Maxwell-Boltzmann
3131distribution with respect to ``v`` and setting the result equal to zero. The result is::
3232
33- ---------------------
33+ ----------------------
3434 | v_mp = √(2RT/M) |
35- ---------------------
35+ ----------------------
3636
3737The root-mean-square speed is another measure of the average speed
3838of the molecules in a gas. It is calculated by taking the square root
3939of the average of the squares of the speeds of the molecules. The result is::
4040
41- ---------------------
41+ ----------------------
4242 | v_rms = √(3RT/M) |
43- ---------------------
43+ ----------------------
4444
4545Here we have defined functions to calculate the average and
4646most probable speeds of molecules in a gas given the
You can’t perform that action at this time.
0 commit comments