Answer:Theoretical density =2.576g/cm³
Explanation:
Theoretical density p= (A×n)/Vc ×Av
A= molecular weight
n= effective number of atoms per unit cell
Vc=Volume of unit cell = a³
Av = Avogadro's constant = 6.02×10²³
Given that A= 87.2g/mol
n= 4 (For FCC crystal structure)
Vc= a³
Where a = 2R√2 and R is the atomic radius
R=0.215
a= 2 × 0.215×√2
a= 0.608nm = 0.608×10^-7 cm
Vc= (0.608×10^-7 cm)³
Vc=2.25×10^-22 cm³
P= (87.2 × 4)/
(2.25×10^-22) × (6.02×10²³)
P= 2.576g/cm³
Therefore the theoretical density of strontium is 2.576g/cm³