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

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Quizplus · Accepted Answer

The density of a close-packed structure is given by:$$d = \frac{M}{a^3N_A}$$where M is the molar mass, a is the lattice parameter, and N_A is Avogadro's number.For magnesium, M = 24.31 g/mol, a = 4 * 160 pm = 640 pm = 6.4 * 10^-8 cm, and N_A = 6.022 * 10^23 mol^-1.Substituting these values into the equation, we get:$$d = \frac{24.31 g/mol}{(6.4 * 10^-8 cm)^3(6.022 * 10^23 mol^-1)} = 1.74 g/cm^3$$

The Atomic Radius of Magnesium Is 160 Pm