The mineral manganosite, manganese(ll) oxide, crystallizes in the rock salt structure the face-centered structure adopted by NaCl) with a density of 5.365 g/cm'. Find the unit cell edge length of manganosite. A. 444.5 pm
B. 352.8 pm
C. 280.0 pm
D. 368.2 pm
E. 417.9 pm

A. 444.5 pm

Explanation:

We know that:

i.e.

in a face-centered cubic crystal, the number of atoms per unit cell is (n) = 4

The molar mass of manganese (II) oxide

Density is given as 5.365 g/cm³

Avogadro constant = 6.023 × 10²³ atoms/mol

∴

Making th edge length "a" the subject, we get:

a = 4.445 × 10⁻⁸ cm

a = 444.5 pm

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