What is the mass of an fcc unit cell if mass of one atom of an element is $6 \times 10^{-23} \mathrm{~g}$ ?

What is the mass of an fcc unit cell if mass of one atom of an element is $6 \times 10^{-23} \mathrm{~g}$ ?
  1. $24 \times 10^{-22} \mathrm{~g}$
  2. $4 \times 10^{-23} \mathrm{~g}$
  3. $2 \cdot 4 \times 10^{-22} \mathrm{~g}$
  4. $2 \cdot 4 \times 10^{-23} \mathrm{~g}$

Solution

In FCC, No. of atoms per unit cell $=4$ $\begin{aligned} \text { Mass of unit cell } &=\text { Mass of } 4 \text { atoms }=4 \times 6 \times 10^{-23} \mathrm{~g} \\ &=24 \times 10^{-23} \mathrm{~g}=2.4 \times 10^{-22} \mathrm{~g} \end{aligned}$

Asked in: MHT CET 2020 (12 Oct Shift 2)

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