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Question

Lithium boron hydride crystallizes in an orthorhombic system with 4 molecules per unit cell. Dimensions of the unit cell are:
a=6A,b=4A and c=7 A.
If the molar mass is 21 g, calculate the density of crystal.

A
0.99 g/cm3
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B
0.83 g/cm3
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C
1.25 g/cm3
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D
1.50 g/cm3
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Solution

The correct option is B 0.83 g/cm3
Density =ZmNAv

Given Z=4
m=21 g
v=a×b×c
=6×108×4×108×7×108
=1.68×1022cm3

Density=4×216.02×1023×1.68×1022=0.83 g/cm3

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