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Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10^–8 cm and density is 10.5 g cm^–3, calculate the atomic mass of silver.

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Silver crystallises in fcc lattice. If edge length of the cell is 4.07 × 10–8 cm and density is 10.5 g cm–3, calculate the atomic mass of silver.

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Given, Edge length, a = 4.077 × 10–8 cm

Density, d = 10.5 g cm–3

The given lattice is of fcc type,

Thus the number of atoms per unit cell, z = 4

We also know that NA = 6.022 × 1023/mol

Let M be the atomic mass of silver.

We know, d = zM/a3NA

=> M = da3Na / z = 10.5 x 4.077 × 10–8 x 6.022 × 1023) / 4 = 107.13 g /mol

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