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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 0.67Since Densiy,ρ = n×molecularweightVolume×Avagadrono.Here, n = 4, Avagadro no. (NA=6.022×1023)Volume =a×b ×c = 6.8×1010−8×4.4×10−8×7.2×10−8cm3 = 2.154×10−22cm3Densiy,ρ = 4×21.762.154×10−22×6.022×1023 = 0.60708gm/cm3

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