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A metallic element exists as a cubic lat...

A metallic element exists as a cubic lattice. Each edge of the unit cell is 2.88 Å . The density of the metal is 7.20 g `cm^(-3)`. How many unit cells there will be in 100g of the metal?

Text Solution

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Volume of unit cell = `(2.88 Å )^(3) = 23.9 xx 10^(-24) cm^(3)`
Volume of 100 g of the metal = `(m)/(rho)`
`= 100 = 13.9 cm^(3)`
Number of unit cells in this volume = `(139 cm^(3))/(23.9 xx 10^(-24) cm^(3)) = 5.82 xx 10^(23)`
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