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Calculate the Number of Unit Cells in 8.1 G of Aluminium If It Crystallizes in a F.C.C. Structure. (Atomic Mass of Al = 27 G Mol–1) - Chemistry

Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a f.c.c. structure. (Atomic mass of Al = 27 g mol–1)

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Solution

Given,

Mass of Al = 8.1

Atomic mass of Al = 27 g mol-1

Number of atoms = number of moles × 6.022 × 1023 = `8.1/27` × 6.022×1023

= 0.3 × 6.022 × 1023

= 1.8066×1023

As one fcc unit cell have 4 atoms 

Hence number of unit cells having 1.8066×1023 atoms = `(1.8066 xx 10^23)/4 = 4.51 xx 10^22` unit cell

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