Question
Mon October 08, 2012 By: Tanishq Gupta
 

A metal M of atomic weight 54.94 has a density of 7.42 g/cm^3. Calculate the volume occupied and the radius of the atom of this metal assuming it to be a sphere

Expert Reply
Tue October 09, 2012
For a spherical shape atom 
mass of 1 atom =   volume of 1 atom x density = (4/3) ?r3 x d
 
Similarly, for an element mass of 1 atom = atomic weight / Avagadro's No.
 
Or, we can write, atomic weight / Avagadro's No. = (4/3) ? r3 x d
 
On putting the values,
 
54.94/ 6.022 x 1023 = (4/3) x 22/7   x r3 x 7.42 
 
r = 1.432 x 10-8 cm
 
So, volume = (4/3) ?r3 = 4/3  x 22/7   x (1.432 x 10-8)3 = 1.23 x 10-23 cm3
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