Q11 of 27 Page 1

Aluminium crystallises in a fcc structure. Atomic radius of the metal is 125 pm. What is the length of the side of unit cell of the metal?

OR


The compound CuCl has fcc structure like ZnS. Its density is 3.04 g cm-3. What is the volume of unit cell? Given: Atomic mass of Cu = 63.5 u; Cl = 35.5 u NA = 6.02 1023 mol-1.


Given, aluminium crystallises in a fcc structure and radius, r = 125 pm.


We know for FCC, a = 2 r


a = 2125


a = 353.5 pm


The length of the side of unit cell of the metal is 353.5 pm.


OR


Given, atomic mass of Cu = 63.5 u; Cl = 35.5 u density, d= 3.04 g/cm3 NA = 6.02 1023 mol-1 Fcc structure, z = 4


We know, d =


3.04 = (Since, volume,V = a3)


V = = 21.63 10-23 cm3


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OR


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