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Polonium (atomic mass = 209) crystallizes in a simple cubic structure with a density of $9.32 \mathrm{~g} \mathrm{~cm}^{-3}$. Its lattice parameter (in $\mathrm{pm}$ ) is closest to
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The correct answer is:
334
$\mathrm{d}=\frac{\mathrm{N} \times \mathrm{M}}{\mathrm{N}_{\mathrm{A}} \times \mathrm{a}^{3}}$
$9.32=\frac{1 \times 209}{6.023 \times 10^{23} \times \mathrm{a}^{3}}$
$\therefore \mathrm{a}^{3}=37.2 \times 10^{-24 \mathrm{~S}}$
$\mathrm{a}=3.33 \times 10^{-8} \mathrm{~cm}$
$\cong 334 \mathrm{pm}$
$9.32=\frac{1 \times 209}{6.023 \times 10^{23} \times \mathrm{a}^{3}}$
$\therefore \mathrm{a}^{3}=37.2 \times 10^{-24 \mathrm{~S}}$
$\mathrm{a}=3.33 \times 10^{-8} \mathrm{~cm}$
$\cong 334 \mathrm{pm}$
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