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Question

Lithium borohydride crystallizes in an orthorhombic system with 4 molecules per unit cell. The unit cell dimensions are a = 6.8 A , b = 4.4 A and c = 7.2 A. If the molar mass is 21.76 g, calculate density of the crystal.


A
0.6708 gcm3
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B

0.7608 gcm3

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C

0.8808 gcm3

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D

0.5608 gcm3

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Solution

The correct option is A 0.6708 gcm3
Since,
Density, ρ=n × MVolume × Av.No
Where n = 4, Av. No = 6.023×1023 , and Volume = V = (a×b×c) cm3

=6.8×108×4.4×108×7.2×108 cm3=2.154×1022cm3density,ρ=4 × 21.762.154×1022 × 6.023×1023=0.6708 gcm3


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