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

A metallic element exists as a cubic lattice. Each edge of the unit ce

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