The density of the electron states in a metal can be written g(E) = AE1/2, where A is a constant, and E is measured from the bottom of
the conduction band.
a) Show that the total number of states is (2/3)A(Ef)³/2.
b) About what fraction of the conduction electrons are within kT of the Fermi energy?
c) Evaluate this fraction for copper at T = 300 Κ.