Expressions for the Maxwell speed distribution for molecules in a gas are given in Chapter 19.
(a) Show that the most probable energy is given by

Verify this result with the energy distribution curve of Fig. 43-10, for which T = 1.5 ( 107 K.
(b) Show that the most probable speed is given by

Find its value for protons at T = 1.5 ( 107 K.
(c) Show that the energy corresponding to the most probable speed (which is not the same as the most probable energy) is
Kv,p = kT.
Locate this quantity on the curve of Fig. 43-10.

Transcribed Image Text:

к, - кт. kT.