A metal (FW 311.8 g/mol) crystallizes into a face-centered cubic unit cell and has a radius of 2.86 Angstrom. What is the density of this metal in g/cm3

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fonzocoronado8056 fonzocoronado8056

19-04-2022
Chemistry

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A metal (FW 311.8 g/mol) crystallizes into a face-centered cubic unit cell and has a radius of 2.86 Angstrom. What is the density of this metal in g/cm3

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-04-20T10:25:17+02:00

For a metal crystallizes into a face-centered cubic unit cell and has a radius of 2.86 Angstrom, the density is mathematically given as

d=3.31g/cm

What is the density of this metal in g/cm3

Generally, the equation for the density is mathematically given as

[tex]d=\frac{2*m}{NA*a^3}\\\\Therefore\\\\d=\frac{2*295.6mol}{6.022*10^23*(6.67*10^{-3})}[/tex]

d=3.31g/cm

In conclusion, the density of this metal

d=3.31g/cm