Vanadium crystallizes in a body-centered cubic lattice, and the length of the edge of a unit cell is 305 pm.What is the density of V? A)5.96 × 10^-30 g/cm³ B)2.98 × 10^-6 g/cm³ C)2.98 g/cm³ D)5.96 g/cm³ E)11.9 g/cm³

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Quizplus · Accepted Answer

Vanadium has a body-centered cubic structure, meaning there are 2 atoms per unit cell. The atomic mass of vanadium is approximately 50.94 g/mol. The volume of the unit cell is (305 pm)^3 = 2.837625 × 10^-23 cm^3. The density is calculated using the formula: density = (mass of atoms in unit cell) / (volume of unit cell). The mass of 2 atoms of vanadium is (2 atoms × 50.94 g/mol) / (6.022 × 10^23 atoms/mol) = 1.691 × 10^-22 g. Therefore, the density is 1.691 × 10^-22 g / 2.837625 × 10^-23 cm^3 = 5.96 g/cm^3.

Vanadium Crystallizes in a Body-Centered Cubic Lattice, and the Length