1. The problem statement, all variables and given/known data A gas has a hypothetical speed distribution for N gas molecules with N(v) = Cv^2 for 0 < v < V0. Find (i) an expression for C in terms of N and v0 (ii) the average speed of the particles 2. Relevant equations N/A 3. The attempt at a solution (i) integrating N(v) with respect to v from 0 to V0 gives N = (C*V0^3)/3 (where is N is total number of molecules) rearranging gives C =3*N/(v^3) (ii) integrating N(v)*v with respect to v gives sum(v) = (C*V0^4)/4 subbing in for C gives sum(v) = (3N/4)*V0 sum(v)/N = Vav = (3/4)*V0 I've been having difficulty with this question for a while and can't seem to find any similar question online so I have no idea if what I did is correct. Any help would be appreciated.