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A molecule A(2)B (Mw = 166.4) occupies t...

A molecule `A_(2)B (Mw = 166.4)` occupies triclinic lattice with `a = 5 Å, b = 8 Å`, and `c = 4 Å`,. If the 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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The correct Answer is:
3
Volume of unit cell `=axxbxxxc`
`=5xx10^(-8)xx8xx10^(-8)xx4xx10^(-8)`
`=1.6xx10^(-22)cm^(3)`
Mass of unit cell `=1.6xx10^(-22)xx5.2`
`=8.32xx10^(-22)g`
No. of molecules in one unit cell
`=(8.32xx10^(-22)xx6xx10^(23))/(166.4)=3`
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