Free-Electron Theory of Metals: a Metal Has a Fermi Level

question 9

Multiple Choice

Free-electron theory of metals: A metal has a Fermi level (energy) of 5.50 eV. At 1200 K, what energy will have a 90% occupancy probability? (m_el = 9.11 × 10^-31 kg, h = 6.626 × 10^-34 J ∙ s, Boltzmann constant = 1.38 × 10^-23, 1 eV = 1.60 × 10^-19 J)

• A) 5.79 eV
• B) 5.73 eV
• C) 5.56 eV
• D) 5.44 eV
• E) 5.27 eV

---

Definitions:

Na+

Na+ represents Sodium ions, which are essential electrolytes in the body that help maintain blood pressure, fluid balance, and are critical for the functioning of muscles and nerves.

Extracellular

Pertaining to being outside the cell membrane.

Plasma Membrane

A biological membrane that separates the interior of all cells from the outside environment, controlling the movement of substances in and out of cells.

Permeable

A characteristic of materials that are able to allow liquids or gases to pass through them, especially through pores or interstices.