For a solid metal with No atoms, consider the Einstein model, where the solid consists of 3No non-interacting harmonic oscillators with discrete energy level: Ei = ihv -ihv hv P = Ce Where * = KT 1 - exp (-x) KT i=0 S = 3Nok[In P + x exp(-x)P] Cv = 3Nokx2 exp(-2) P2 (a) At high temperature T - co limit, what is the limiting behavior of entropy S and the value of constant volume heat capacity Cy of the solid, given: exp(-x) ~1- x When x - 0 (b) At low temperature T - 0 limit, what is the value of entropy S and constant volume heat capacity Cv of the solid