Figure 9.8 cannot do justice to values at the vciy highspeed end of the plot. This exercis...

Figure 9.8 cannot do justice to values at the vciy highspeed end of the plot. This exercise investigates how small it really gets. However, although integrating the Maxwell speed distribution over the full range of speeds from 0 to infinity can be carried out (the so-called Gaussian integrals of Appendix K), over any restricted range, it is one of those integrals that, unfortunately, cannot be done in closed form. Using a computational aid of your choice, show that the fraction of molecules moving faster than 2vrms is ~ 10-2 faster than 6vrms is ~10-23; and faster than 10vrms is ~10-64, where vrms, from Exercise 41, is . (Exercise 48 uses these values in an interesting application.)