The density of gold is 19.3 × 103 kg/m3, its atomic mass number is 197, and the Debye energy is 0.0142 eV. The Fermi level for its conduction electrons is at εf = 5.51 eV. At a temperature of 2 K, find
(a) the lattice's contribution to the molar heat capacity,
(b) the conduction electrons' contribution to the molar heat capacity.