Eddington's standard model is an n = 3 polytrope supported by monatomic ideal gas plus radiation, in which the ratio Pgas/P = is fixed. Show that, in this model, for a star of radius R and mass M. E = 3 GM =B 4 R You will need: the gravitational energy Egrav theorem Egrav = = 3 GM/R, the virial -n 3 PdV, the relation P = Pgas + Prad (where Pgas is assumed to be ideal, not degenerate), and the internal energy densities = = Ugas Pgas and urad = 3Prad 2