Palladium crystallizes in a face-centered cubic lattice with an edge length of 388.8 pm.What is the density of palladium? A) 0.752 g/cm³ B) 3.01 g/cm³ C) 1.50 g/cm³ D) 6.01 g/cm³ E) 12.0 g/cm³

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Quizplus · Accepted Answer

In a face-centered cubic (fcc) lattice, there are 4 atoms per unit cell. The edge length (a) is 388.8 pm (or 388.8 x 10^-10 cm). The volume of the unit cell is a^3. The atomic mass of palladium (Pd) is approximately 106.42 g/mol. Using Avogadro's number (6.022 x 10^23 atoms/mol), the density (ρ) can be calculated using the formula ρ = (Z*M)/(a^3*N_A), where Z = 4 (number of atoms per unit cell), M = atomic mass, a^3 = volume of the unit cell, and N_A = Avogadro's number. Plugging in the values gives a density close to 12.0 g/cm^3, making E the correct choice.

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