Question

A metal has a fcc lattice. The edge length of the unit cell is 404 pm. The density of the metal is 2.72 g cm^-3. The molar mass of the metal is

Answer 1

density=Z*M/a³*Nₐ

where z=no. of atoms in unit cell=4

a= 404*10⁻¹⁰cm

Nₐ=6.022*10²³

therefore M=6.022*10²³*(404*10⁻¹⁰)³*2.72/4=approx 27g