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The edge length of NaCl unit cell is 564...

The edge length of NaCl unit cell is 564 pm. What is the density of NaCl in g/`cm^(3)`?

Text Solution

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Density of unit cell `(rho)=(ZxxM)/(a^(3)xxN_(0)xx10^(-30))`
According to available data,
Edge length (a) = 564 pm = 564
Molar mass of NaCl (M) = `23+35.3=58.5"g mol"^(-1)`
No. of atoms per unit `"cell^(**)(Z)=4`
Avogadro's number `(N_(0))=6.022xx10^(23)"mol"^(-1)`
`"Density of unit cell"=(4xx(58.5"g mol"^(-1)))/((564)^(3)xx(6.022xx10^(23)"mol"^(-1))xx(10^(-30)"cm"^(3)))="2.16 g cm"^(-3)`
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