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Question

Lithium borohydride crystallizes in an orthorhombic system with 4 molecules per unit cell. The unit cell dimensions are a = 6.8Å, b = 4.4Å and C = 7.2Å. If the molar mass is 21.76g. Density of crystal is (gm/cm3)


A

0.44

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B

0.67

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C

0.23

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D

0.096

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Solution

The correct option is A i.e 0.67
Since
Densiy,ρ = n×molecularweightVolume×Avagadrono.
Here, n = 4, Avagadro no. (NA=6.022×1023)
Volume =a×b ×c
= 6.8×10108×4.4×108×7.2×108cm3
= 2.154×1022cm3
Densiy,ρ = 4×21.762.154×1022×6.022×1023 = 0.60708gm/cm3


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