4. Consider a three-dimensional ideal Bose gas whose number of particles is not conserved (you need to set / = 0) and with the following dispersion relation: E(p) = 4 + |p/2/2m (1) a) Find the density of states. b) Calculate the heat capacity Cy associated with this dispersion relation. Integrals which have been put into dimensionless form should not be evaluated. Your answer should take the form: Cv = KBA(KBT)" devx - A/ ( kBT)g(x) (2) A/ (KIT) determine A, a, g(x)