Metallic copper crystallizes in a face-centered cubic lattice. The volume of the unit cell is 4.11 × 10⁸ pm³. What is the density of copper metal? A) 5.14 g/cm³ B) 373 g/cm³ C) 10.3 g/cm³ D) 2.57 g/cm³ E) 62 g/cm³

Question

Quizplus · Accepted Answer

The density of copper can be calculated using the formula: density = mass/volume. In a face-centered cubic lattice, there are 4 atoms per unit cell. The atomic mass of copper is 63.55 g/mol, and Avogadro's number is 6.022 × 10^23 atoms/mol. The volume of the unit cell is given as 4.11 × 10^8 pm^3, which is 4.11 × 10^-22 cm^3. Using these values, the density is calculated to be approximately 10.3 g/cm^3.

Metallic Copper Crystallizes in a Face-Centered Cubic Lattice