Metal M crystallizes into a FCC lattice with the edge length of 4 . 0 × 10 - 8 cm . The atomic mass of the metal is g / mol . (Use : N A = 6 . 02 × 10 23 mol - 1 , density of metal, M = 9 . 03 g cm - 3 )

Step-by-step solution

Given , a = 4 × 10 - 8   cm d = 9 . 03   g / ml d = ZM N A a 3 Volume of a unit cell = a 3 , where a is the edge length d is the density of the solid substance and M is the molar mass. Mass of the unit cell = number of atoms in unit cell × mass of each atom = Z × m (Here z is the number of atoms present in one unit cell and m is the mass of a single atom) M = 9 . 03 × 6 . 02 × 10 23 × 64 × 10 - 24 4 = 86 . 97 g / mol