NEET Chemistry The Solid State Questions Solved

The unit cell of a metallic element of atomic mass 108 and density 10.5 g/cm2 is a cube with edge length of 409 pm. The structure of the crystal lattice is-

(A) fcc                                                         

(B) bcc

(C) hcp                                                       

 (D) None of these

(A). ρ=Z×MN×a3; Here, M=108, NA=6.023×1023

Put on these values and solving we get

a= 409pm = 4.09×10-8cmρ=10.5g/cm2

z = 4 = number of atoms per unit cell.
So, the structure of the crystal lattice is fcc.

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