The density of crystalline sodium chloride is 5.85gcm-3.What is the edge length of the unit cell.

In a NaCl type crystal distance between Na+ and Cl​- ion is 2.814Angstrom and the density of  solid is 2.167gcm-3 then find out the value of Avogadro constant.
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Here,
Density (d) = 5.85g/cm3
Molar Mass of Sodium Chloride (m) = 5.85 g/mol
Na = 6.022 x 1023
Unit Cell Type is FCC, z = 4

We Know

d = (z x m)/(Na x a3)
=> a3 = (z x m)/(Na x d)
=> a3 = (4 x 5.85)/(6.022 x 1023 x 5.85)
=> a= 0.066 x 10-24
=> a = 0.404 x 10-8

So, edge length of unit cell of NaCl is 0.404 x 10-8
 
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