The atomic radius of metal X is 1.20 × 102 picometers (pm) and a crystal of metal X has a unit cell that is face-centered cubic. Calculate the density of metal X (atomic weight = 42.3 g/mol).

Respuesta :

The density of the metal can be determined through the formula [n*MW]/ Na*[a^3] . substituting, we get, 

d = [n*MW]/ Na*[a^3] 
d = [4 atoms*42.3 g/mol]/ [6.022 x 1023atoms/mol* (sqrt 8 *1.20x10-10)^3] 
d = 0.719 g/cm3