Calcium has a cubic closest packed structure (fcc) as a solid. assuming that calcium has an atomic radius of 197 pm, calculate the density of solid calcium. (1 pm = 10-12 m, 100 cm = 1 m)

is the density of solid calcium.

Explanation:

Formula used :  

where,

= density

Z = number of atom in unit cell

M = atomic mass

= Avogadro's number  

a = edge length of unit cell

We have:

r = 197 pm =

M = 40 g/mol

Z = 4

On substituting all the given values , we will get the value of 'a'.

is the density of solid calcium.