The atomic radius of magnesium is 160 pm.Estimate its density,given that the metal has a close-packed structure.

Question

Quizplus · Accepted Answer

The correct answer is A because the density of a close-packed structure is given by the formula:density = (mass of atom * number of atoms per unit cell) / (volume of unit cell)For magnesium, the mass of an atom is 24.31 amu, the number of atoms per unit cell is 4, and the volume of a unit cell can be calculated from the atomic radius using the formula:volume of unit cell = (4/3) * π * (atomic radius)^3Plugging in the values for magnesium, we get:density = (24.31 amu * 4) / [(4/3) * π * (160 pm)^3] = 1.74 g/cm^3

The Atomic Radius of Magnesium Is 160 Pm