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Gold crystallizes in a face - centred cubic lattice. If the length of the edge of the unit cell is 407 pm, calculate the density of gold as well as it

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Gold crystallizes in a face - centred cubic lattice. If the length of the edge of the unit cell is 407 pm, calculate the density of gold as well as its atomic radius assuming it to be spherical . Atomic mass of gold =197 amu.
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Correct Answer - ` 5.74 "g cm"^(-3)`
For fcc lattice , Z= 4 , Radius ` r = a/ (2 sqrt2) = 0.3535 a `
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