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Lithium crystallizes in a bcc structure with an edge length of 3.509 Å. Calculate its density....

Lithium crystallizes in a bcc structure with an edge length of 3.509 Å.

Calculate its density. What is the approximate metallic radius of lithium in picometers?

(atomic weight of Li = 6.94)

Expert Solution

Given: Edge length, a=3.509 = 3.509*10^-8 cm

Atomic weight (Molecular weight) of Lithium, M=6.94 g/mol

In a BCC structure, number of atoms per unit cell, n=2 atoms

Mass of lithium, m is

where N_A is Avogadro's Number, N_A= 6.022*10²³ atoms/mol

Volume of a BCC cell is V=a³

V=(3.509*10^-8 cm)³

V=4.320*10^-23 cm³

Thus the density of Lithium is

The edge length of a BCC crystal structure is

where r is the Atomic Radius or Metallic Radius

Thus, the density of Lithium is 0.533 g/cm³ and metallic radius is 151.9 pm

Amanda K answered 2 years ago

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