Q11 of 50 Page 1

The edge length of a unit cell of a metal having molecular mass 75 g/mol is 5 A◦ which crystallizes in a cubic lattice. If the density is 2g/cc, then find the radius of the metal atom.

Given:

Molecular mass, M = 75g


Edge Length, a= 5 A° = 5 × 10-10 m


Density, d = 2g/cc


To find: Radius of the metal atom, r


Solution:



Where z = number of atoms present per unit cell




Z = 2


Since the number of atoms is 2, the metal crystallizes in BCC structure.




r = 2.165 A° = 216.5 pm


Therefore the radius of the metal atom is 216.5 pm.


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