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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 Angstrom , b = 4.4 A and c = 7.2 angstrom . If the molar mass is 21. 76g , calculate density of Crystal

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Solution

volume of the unit cell = abc =6.8*4.4*7.2

=215.424 A3 = 2.154 *10-22 cc

each unit cell has 4 molecules so mass of each unit cee = 4*21.76/(6.023 *1023) =1.445 * 10-22 gm

so
density = mass/volume

=
1.445 * 10-22 gm/2.154 *10-22cc

=.671 gm/cc


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