He probability density for the maxwell distribution of molecular speeds is given by the function g(v) = 4π(a/π)3/2 v2 e-av2, with a = m/2rt[some authors use the symbol f(v) or f(v)]. find atkins’(example 24.1) or levine’s(sec. 15.5) calculation of average (mean) speed using the general relationship for the average value of a velocity function, h(v): = ∫0[infinity] h(v)·g(v) dv, which becomes = ∫0[infinity] v·g(v) dv for the case h(v) = v. be sure that you understand the calculation to 3m2mmvcvbvrtp+−= the point of being able to execute it. then show your calculation of the root-mean-square (rms) speed using the relationship, vrms = ½ and = ∫0[infinity] v 2·g(v) dv. most mortals will need to look up a solution for the integral form, 240axx edx[infinity]−