Calculate the number of unit cells in 10.8 g metal $\left(\varrho a^3=7.2 \times 10^{-22} \mathrm{~g}\right)$

Calculate the number of unit cells in 10.8 g metal $\left(\varrho a^3=7.2 \times 10^{-22} \mathrm{~g}\right)$
  1. $1.5 \times 10^{22}$
  2. $3.0 \times 10^{22}$
  3. $4.5 \times 10^{22}$
  4. $6.0 \times 10^{22}$

Solution

No. of unit cells in $x \mathrm{~g}$ of metal $=\frac{\mathrm{x}}{\rho \times \mathrm{a}^3}=\frac{10.8 \mathrm{~g}}{7.2 \times 10^{-22} \mathrm{~g}}=1.5 \times 10^{22}$ unit cells

Asked in: MHT CET 2024 (02 May Shift 2)

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