Lithium borohydride (LiBH4), crystallises in an orthorhombic system with 4 molecules per unit cell. The unit cell dimensions are: a = 6.81 Ao, b = 4.43 Ao, C = 7.17 Ao. If the molar mass of LiBH4 is 21.76 g mol-1. The density of the crystal is
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a
0.668 g cm-3
b
0.585 g cm2
c
1.23 g cm-3
d
None of these
answer is A.
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Detailed Solution
We know that, ρ=ZMNV=4×21.76gmol−16.023×1023mol−16.81×4.43×7.17×10−24cm3=0.668cm−3