an element crystalises in fcc and has edge length 0.56 nm. calculate the density of the element molar mass of the element is 40g mol inverse

The density of the crystal is given by the formula:

d = ZM/a^3NA

Given data Z for FCC = 4; M (atomic mass) = 40 g/mol; a (inter-atomic distance) = 0.556 nm or 0.556x10^-9 m, Substituting the values in the formula the density would be

 d = (4*40 g)/(0.556x10^-9m)^3*6.023x10^23

  = 160/(0.1719x10^-27m3) *6.023x10^23

  = 1.546x10^6 g/m3

  d = 1.546 g/cm3