Gold crystallizes in a face-centered cubic lattice with an edge length of 407.8 pm.What is the density of gold?

Question

Quizplus · Accepted Answer

Gold has a face-centered cubic lattice, which contains 4 atoms per unit cell. The atomic mass of gold is approximately 197 g/mol, and Avogadro's number is 6.022 x 10^23 atoms/mol. The volume of the unit cell can be calculated using the edge length (407.8 pm = 4.078 x 10^-8 cm). Using the formula for density (density = mass/volume), the calculated density is approximately 19.3 g/cm^3.

Gold Crystallizes in a Face-Centered Cubic Lattice with an Edge