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At room temperature, sodium crystallized...

At room temperature, sodium crystallized in a body`-`centred cubic lattrice with `a=4.24Å`. Calculate theoretical density of sodium `(` at wt. of`Na =23)`.

Text Solution

Verified by Experts

A body `-` centred cubic unit cell contains 8 atoms at the 8 corners and one in the centre.
`=8xx(1)/(8)+1=2`
`:'` Density `=(zxxat. Wt)/(Av. N o. xxa^(3))`
`=(2xx23)/(6.023xx10^(23)xx(4.24xx10^(-8))^(3))`
`=1.002g cm^(-3)`
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