Free-Electron Theory of Metals: the Fermi Level (Energy) of a Metal

Multiple Choice

Free-electron theory of metals: The Fermi level (energy) of a metal is 5.5 eV. What is the number of conduction electrons per unit volume for this metal? (m_el = 9.11 × 10^-31 kg, 1 eV = 1.60 × 10^-19 J, h = 6.626 × 10^-34 J ∙ s)

A) 5.8 × 10²⁸ / m³
B) 6.2 × 10²⁸ / m³
C) 4.1 × 10²⁸ / m³
D) 8.4 × 10²⁸ / m³
E) 3.3 × 10²⁸ / m³