What is the mass of bcc type unit cell of sodium if mass of one atom of sodium is $3 \cdot 819 \times…

What is the mass of bcc type unit cell of sodium if mass of one atom of sodium is $3 \cdot 819 \times 10^{-23} \mathrm{~g}$ ?
  1. $7 \cdot 038 \times 10^{-23} \mathrm{~g}$
  2. $7 \cdot 638 \times 10^{-23} \mathrm{~g}$
  3. $3 \cdot 819 \times 10^{-23} \mathrm{~g}$
  4. $1.5276 \times 10^{-22} \mathrm{~g}$

Solution

No. of atoms per bcc type of unit cell, $\mathrm{n}=2$ Mass of bcc unit cell $=$ Mass of two atoms $\begin{aligned} \therefore \text { Mass of bcc unit cell of } \mathrm{Na} &=3.819 \times 10^{-23} \times 2 \\ &=7.638 \times 10^{-23} \mathrm{~g} \end{aligned}$

Asked in: MHT CET 2020 (20 Oct Shift 1)

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