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Question

If ¯¯¯¯¯¯¯¯¯¯MW is the weight average molecular weight and ¯¯¯¯¯¯¯¯Mn is the number average molecular weight of a polymer, the poly dispersity index (PDI) of the polymer is given by:

A
¯¯¯¯¯¯¯¯Mn¯¯¯¯¯¯¯¯Mw
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B
¯¯¯¯¯¯¯¯Mw¯¯¯¯¯¯¯¯Mn
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C
¯¯¯¯¯¯¯¯Mwׯ¯¯¯¯¯¯¯Mn
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D
1¯¯¯¯¯¯¯¯Mwׯ¯¯¯¯¯¯¯Mn
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Solution

The correct option is B ¯¯¯¯¯¯¯¯Mw¯¯¯¯¯¯¯¯Mn
The ratio of weight average molecular weight and the number average molecular weight is called polydispersity index (PDI).
PDI=¯Mw¯Mn
where,
¯Mw= weight average molecular weight
¯Mn= number average molecular weight
PDI is unity for natural monodiapersed polymer but for synthetic polymers it is always greater than unity.

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