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A molecule A(2)B (molar mass=166.4) occu...

A molecule `A_(2)B` (molar mass=166.4) occupies triclinic lattice with a=5Å, b=8Å and c=4Å. If density of `AB_(2)` is 5.2 g `cm^(-3)`, the number of molecules present in one unit cell is:

Text Solution

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Volume of unit cell
`=axxbxxc=5xx10^(-8)xx8xx10^(-8)xx4xx10^(-8)=1.6xx10^(-22)cm^(3)`
Mass of unit cell`=1.6xx10^(-22)xx5.2=8.32xx10^(-22)g`
Number of molecules in one unit cell`=(8.32xx10^(-22)xx6.02xx10^(23))/(166.4)=3`
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