Question

If the mass function for stars follows the Salpeter distribution, with dN E(M)= ам AM-2.35 luminosity depends mainly on My. Specifically, for M = 0.2M. and My 100M., calculate the masses My and M2 such that 50% of the total mass is contained in stars with M M2. Problem 2.5 from Sparke and Gallagher Galaxies in the Universe. Please explain all steps. I think I got the integrals for number, mass, and luminosity using the mass function using normalization constant A=0.06 where I showed that number and mass depended on mass of smaller stars M_land luminosity depends more on mass of larger stars M_u where M_1​

Answer 1

Specifically, for M = 0.2M. and My 100M., calculate the masses My and M2 such that 50% of the total mass is contained in stars with M M2.