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Grade 12AIPMT

A uniform cylindrical polymer molecules crystallised in body centre cubic array. Determine the packing fraction of this polymer is solid state assuming that molecules are in their closest contact

Profile image of Rinky Sah
7 Years agoGrade 12
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1 Answer

Profile image of Pooja
7 Years ago
BCC contains 2 atoms in total
1 in centre and 1/8 part of each atom in 8 corners
 
The relation between radius of atom and length of cube is 4r = (3)1/2a
So r/a = (3)1/2/4
 
Packing fraction of bcc is given as
Volume of atoms  ÷  Volume of cube
= 2 × 4/3 × π × r3  ÷  a3
= 8/3 × 22/7 × {(3)1/2/4}3
=0.68 
 
 

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