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Lithium metal has a body centred cubic s...

Lithium metal has a body centred cubic structure. Its density is 0.53g `cm^(-3)` and its molar mass is 6.94g `mol^(-1)`. Calculate the volume of a unit cell of lithium metal.

Text Solution

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For bcc unit cell, Z=2
Density (d)=0.53 g `cm^(-3)`
Molar mass, M=6.94 g `mol^(-1)`
Mass of an atom = `(6.94)/(6.023 xx 10^(23)) = 1.152 xx 10^(-23)g`
Mass of unit cell = `2 xx 1.152 xx 10^(-23) = 2.304 xx 10^(-23) g`
Volume of unit cell = `("Mass")/("Density")=(2.304 xx 10^(-23))/(0.53) cm^3`
`= 4.35 xx 10^(-23) cm^3`
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