1. a)Let us define a reduced speed VR=(2kTm)1/2v where v is speed. Trasform the Maxwell probality function for speed F(v)dv=4v2(2kTm)3/2emv2/(2kT)dv into Maxwell probality function for reduced speed F(vR)dvR and show that it is equal to F(vR)dvR=(16)1/2exp[vR2]vR2dvR b) Use F(vR)dvR given above to find vR mean reduced speed