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The Fermi energy of a metal like sodium can be calculated using the formula: ( E_F = \frac{{h^2}}{{2m}} \left( \frac{{3n}}{{8\pi}} \right)^{2/3} ), where ( h ) is the Planck constant, ( m ) is the electron mass, and ( n ) is the number density of electrons in the metal. By substituting the values of these constants and known properties of sodium into the formula, you can calculate the Fermi energy.

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