We have that the Density of metal X is mathematically given as
\(\phi= 6359.44 Kg/m^3\)
Density of metal
Generally the equation for the side of fcc is mathematically given as
\(Fcc=2*\sqrt(2) *radius of metal\\\\Fcc== 2*1.414*125\\\\Fcc 353.5*10^-12 m \\\\\)
Where
volume of 1 unit cell of fcc
\(FccV= (353.5*10^-12)^3\\\\FccV =44174155.375 *10^-36 m^3\\\\\)
And
weight of 1 atom
\(Wa= moleular weight / avogadro number\\\\Wa = 42.3/(6.023 *10^23) \\\\Wa= 7.023 *10^-23 gm/atom\\\\\)
Therefore
density
\(\phi= (28.0923 *10^-26) / ( 44174155.375 *10^-36)\)
\(\phi= 6359.44 Kg/m^3\)
For more information on Atoms visit
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