The speed distribution function of a group of N particles is given by ? ?a) Draw a graph of the distribution function. (b) Show that the constant ?(c) Compute the average speed of the particles. (d) Compute the root-mean-square speed of the particles. 2. (a) Derive Eq. (9-7) beginning with Eq. (9-4). (b) For a gas at standard conditions, find t., for molecules obeying the speed distribution law of the previous problem and having speeds between 0.50 v0 and 0.51 v0 (c) Determine for molecules having the same speed distribution.