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Lead (II) sulphide crystals has NaCl str...

Lead (II) sulphide crystals has NaCl structure. What is its density ? The edge length of its unit cell is 500 pm. (Atomic mass of Pb = 207 = S = 32).

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Molar mass of `PbS,M=207+32`
`=239"g mol"^(-1)`
Edge length, `a=500"pm"=5xx10^(-8)"cm"`
For f.c.c. structure, `N=4,N_(A)=6.022xx10^(23)"mol"^(-1)`
`d=(ZxxM)/(a^(3)xxN_(A))`
`=(4xx239"g mol"^(-1))/((5xx10^(-8))^(3)xx6.002xx10^(23))`
`=(4xx2390)/(125xx6.022)"g mol"^(-3)=12.7"g cm"^(-3)`
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BETTER CHOICE PUBLICATION-THE SOLID STATE-Numerical Problems
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