The metal sodium crystallizes in a body-centered cubic lattice.If the density of sodium is 0.968 g/cm³,what is the unit cell edge length?

Question

Quizplus · Accepted Answer

The density of a body-centered cubic lattice is given by:ρ = (8 × atomic mass) / (a^3 × Nₐ)where ρ is the density, a is the unit cell edge length, Nₐ is Avogadro's number, and atomic mass is the mass of one atom of the metal.Substituting the given values into the equation, we get:0.968 g/cm³ = (8 × 22.99 g/mol) / (a³ × 6.022 × 10²³ mol⁻¹)Solving for a, we get:a = 4.29 × 10⁻⁸ cm = 429 pmTherefore, the unit cell edge length is 429 pm.

The Metal Sodium Crystallizes in a Body-Centered Cubic Lattice