Predict the probability P9v) that a molecule will have a given total velocity of more specifically P(v)dv is the probability that a molecule will have a velocity btwn v and v+dv.

A. Show that the following identities may be used to calculate a molecule's avg velocity.

= sq root 8kbT/pim= sq root 8RT/pim

B. show that the following identities may be used to calculate a molecule's most probable velocity.

V max= sq root 2kbT/m= sq root 2RT/M

C. use the above results to predict both the avg and the most probable velocities of N2 and H2 at 300 K.