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Question

A molecule A2B (Mol.Wt = 166.4)occupies triclinic lattice with a = 5A, b = 8A and c = 4A. If the density of A2B is 5.2 g.cm3, the number of molecules present in one unit cell is:

A
2
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B
3
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C
4
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D
5
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Solution

The correct option is B 3
Volume of the unit cell = a × b × c × =
5 × 108 × 8 × 108 × 4 × 108 cm3

= 1.6 × 1022cm3

Mass of the unit cell = 1.6 × 1022 × 5.2 = 8.32 × 1022g

Number of molecules in one unit cell = 8.32 × 1022g×6×1023mol1166.4 g.mol1

=3

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