A metal crystallizes in a face-centered cubic lattice.The radius of the atom is 128 pm and the density of the element is 8.92 g/cm³.What is the identity of the metal?

Question

Quizplus · Accepted Answer

The metal is copper (Cu). In a face-centered cubic (fcc) lattice, the edge length (a) can be related to the atomic radius (r) by the formula a = 2√2r. Given r = 128 pm, we can calculate a. The volume of the unit cell is a^3. Since there are 4 atoms per fcc unit cell, we can calculate the mass of the unit cell using the given density and Avogadro's number to find the molar mass, which corresponds to copper (Cu).

A Metal Crystallizes in a Face-Centered Cubic Lattice