The maxwell speed probability distribution (for speed v) is given by 3/2 2 mv p(v)dv 4tv dv exp 2tkt 2kt (a) state the requirements for the system for which this expression is valid, and outline the procedure used to derive it. [6 marks] (b) given the maxwell speed distribution, show that the maxwell energy distribution is given by: 2 ede p(e)de (kt exp 3/2 kt and verify that the mean kinetic energy per molecule is 3/2kt. 3/2 2ttmkt and the identity [the expression z," v h x'drexp(-x2)= 3/tc may 8 be useful.]