Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a face-centred cubic (f.c.c.) structure. (atomic mass of Al=27g `mol^(-

Question

Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a face-centred cubic (f.c.c.) structure. (atomic mass of Al=27g `mol^(-

Calculate the number of unit cells in 8.1 g of aluminium if it crystallizes in a face-centred cubic (f.c.c.) structure. (atomic mass of Al=27g `mol^(-1)`)

Monjur Alahi

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2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

27 g of aluminium has `6.022xx10^(23)` atoms of Al.
8.1 g of aluminium as `(6.022xx10^(23))/(27)xx8.1=1.807xx10^(23)` atoms of Al.
FCC unit cell has 4 atoms of aluminium.
`1.807xx10^(23)` atoms of aluminium has `=(1)/(4)xx1.807xx10^(23)` unit cells
`=4.52xx10^(23)` unit cells.

5 views Answered 2023-02-05 15:29