1.

A uniform cylindrical, polymer molecule crystallizes in body centred cubic array. Determine the packing fraction of this polymer in solid state assuming that molecules are in their closest contact.

Answer»

Solution : The arrangement of molecules can be REPRESENTED as follows :
Here , `4r=sqrt(2)l`
`implies I=2sqrt(2r)`
Packing fraction `(phi)=(2pir^(2)l)/(I^(3))=(2pir^(3))/(I^(2))`
`=(pi)/(4)=0.785`


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