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in Chemistry by (87.4k points)

Metallic iron crystallizes in a type of cubic unit cell. The unit cell edge length is 287 pm. The density of iron is 7.87 g/cm3 . How many iron atoms are there within one unit cell?  

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Best answer

Given: Edge length of unit cell (a) 

 = 287 pm = 287 × 10−10 cm 

 = 2.87 x 10–8 cm 

 Density of iron (d) = 7.87 g/cm

 NA = 6.023 x 1023 atoms mol−1 

Atomic mass of iron (M) = 55.845 

To find: Number of iron atoms (z) = ? 

Formula: i. V = a3

z = 2 atoms per unit cell. 

Hence it is Face centred cubic structure (BCC) 

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