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  2. Question
  3. Chemistry
  4. Copper crystallises in fcc unit cell with cell edge length of 3.608 × 10-8 cm. The density of copper is 8.92 g cm -3. Calculate the atomic mass of copper.

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Q. Copper crystallises in fcc unit cell with cell edge length of $3.608 \times 10^{-8} cm$. The density of copper is $8.92 \,g\, cm ^{-3}$. Calculate the atomic mass of copper.

NEETNEET 2022The Solid State

Solution:

$d =\frac{ Z \times M }{ N _{ A } \times a ^{3}}$
$8.92=\frac{4 \times M }{6.022 \times 10^{23} \times\left(3.608 \times 10^{-8}\right)^{3}}$
$M =\frac{8.92 \times 6.022 \times 10^{23}}{4} \times 46.96 \times 10^{-24}$
$M =63.1\, g / mol$ (Molar Atomic Mass)
$M =63.1 \,u$ (Atomic Mass)