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Q.

A metal crystallizes in such a lattice that only 60% of the total crystal space is occupied by the atoms. If the mass of the metal is 64π g/mol   and atomic radius is 0.2 nm. The density of the metal in g/c m 3   is _______


 

 

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answer is 6.

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Detailed Solution

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PF= Z× 4 3 π r 3 V  
d= Z×m V× N A  
PF d =NA⋅ 4 3 π r 3 M   d= PF×3×M 4.π r 3 NA = 0.6×3×64π 4.π.6× 10 23 × r 3  
= 0.6×3×0.6 6× 10 23 ⋅ 1 8× 10 −24  
=6g/ cm 3  
 
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