The density of copper is 8.96 g/cm3 and its atomic weight is 63.5 g/mol.

a) Calculate the Fermi energy for copper (assuming each Cu atom contributes one free electron). (units: eV)

b) Determine the corresponding electron velocity. (In the free electron model, the electron energy is kinetic.)

c) At what temperature would the characteristic thermal energy () equal the Fermi energy for copper?

d) Determine the value of the norm of the Fermi vector .