Na and Au both haveone valence electron, meaning that each atom donates one electron to the see of conduction electrons. The densityof Na and Au are 968 kgm-3and 19,300 kgm-3, respectively. And the atomic massof Na and Au are 23 gmol-1and 197 gmol-1, respectively. Please answer the following questions:(a) Calculate the electron concentrationsin Na and Auin the unit of m-3.(b)Calculate the Fermi energy of Na and Au at 0 K and 300 K in the unit of eV. (c)Calculate the mean energy of conduction electrons NEAR (not at)the Fermi levelat 0 K and 300 K for Na and Au in the unit of eV. (d) Calculate the average speed of conductionelectrons NEAR (not at)the Fermi level at 0 K and 300 K for Na and Au in the unit of ms-1.(e)Calculate the density of state ATtheFermi level for Na and Auin the unit of cm-3eV-1(Hint: use the Fermi energy at 0K that you calculate in (b))