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A metallic element exists as cubic lattice. Each edge of the unit cell is \( 2.88 \AA \). The density of the metal is \( 7.20 \mathrm{~g} \mathrm{~cm}^{-3} \). How many unit cell will be present in \( 100 \mathrm{~g} \) of the metal?
(a) \( 6.85 \times 10^{2} \)
(b) \( 5.82 \times 10^{23} \)
(c) \( 4.37 \times 10^{5} \)
(d) \( 2.12 \times 10^{6} \)
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