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At room temperature, sodium crystallizes...

At room temperature, sodium crystallizes in a body-centred cubic lattice with a=4.24 Å, calculate theoretical density of sodium in g `cm^(-3)` (atomic mass of Na=23).

Text Solution

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A body-centred cubic unit cell contains 8 atoms at the 8 corners and one in the centre
`therefore` Total number of atoms per unit cell`=8xx(1)/(8)+1=2`
`therefore"Density"=(nxx"atomic mass")/("Av.no."xxa^(3))=(2xx23)/(6.02xx10^(23)xx(4.24xx10^(-8))^(3))=1.002g" "cm^(-3)`
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