Solid StateHard

Question

A molecule A2B (Mw = 166.4) occupies triclinic lattice with a = 5, b = 8, and c = 4 .
If  the density of AB2 is 5.2 g cm-3, the number of molecules present in one unit cell is

Options

A.2
B.3
C.4
D.5

Solution

Volume of unit cell  = a ×  b × c = 5 × 10-8 × 8 × 10-8 × 4 × 10-8 = 1.6 × 10-22 cm3
Mass of unit cell = 1.6 × 10-22 × 5.2 = 8.32 × 10-22 g
Number of molecules in one unit cell = = 3

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