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Question

Lithium borohydride (LiBH4), crystallizes in an orthorhombic system with 4 molecules per unit cell. The unit cell dimensions are a=6.22 ∘A, b=5 ∘A, c=7 ∘A. If the molar mass of LiBH4 is 21.76 g mol−1. The density of the crystal is: (NA=6×1023)

A
0.666 g cm3
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B
0.585 g cm3
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C
1.23 g cm3
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D
None of these
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Solution

The correct option is A 0.666 g cm−3 Volume of the unit cell =6.22×5.00×7.00=217.7 (∘A)3 Density =4×molar massvolume×6×1023×(10−8)3 =4×21.76217.7×6×1023×(10−8)3 ≈4×16×1 =0.66 g cm−3.

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