Answered: The Fermi energy of sodium is 3.23 eV.…

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The Fermi energy of sodium is 3.23 eV.

(a) Find the average energy E_av of the electrons at absolute zero.

(b) What is the speed of an electron that has energy Eav ?

(c) At what Kelvin temperature T is kT equal to E_F ? (This is called the Fermi temperature for the metal. It is approximately the temperature at which molecules in a classical ideal gas would have the same kinetic energy as the fastest-moving electron in the metal.)

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