How many lithium atoms are present in a unit cell with edge length 3.5 A0 having a density 0.54 g/cc (Atomic mass of Li = 6.94)

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How many lithium atoms are present in a unit cell with edge length 3.5 A⁰ having a density 0.54 g/cc (Atomic mass of Li = 6.94)

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Detailed Solution

$\begin{array}{l} d = \frac{Z \times M}{N_{A} \times a^{3}} \\ Z = \frac{a^{3} \times d \times N_{A}}{M} \\ Z = \frac{{(3 .5 \times 10^{- 8})}^{3} \times 0 .54 \times 6 .023 \times 10^{23}}{6 .94} \approx 2 \end{array}$

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