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The Solid State — Chemistry STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceChemistryThe Solid State2 Marks
Question
Lithium metal crystal has body-centred cubic structure. Its density is $0.53g/\ cm^{-3}$ and its molar mass is $6.94g/ \ mol^{-1}.$ Calculate the volume of a unit cell of lithium metal. $[N_A = 6.023 \times 10^{23}\ mol^{-1}]$
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Answer

Volume of the crystal, $\text{a}^3=\frac{\text{z}\times\text{M}}{\text{d}\times\text{N}_{\text{A}}}$
$\text{a}^3=\frac{2\times6.94}{0.53\times0.023\times10^{23}}=4.348\times10^{-23}\text{cm}^3$

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