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Question

Chemistry Question on molecular mass of polymers

If MW\overline{ M _{ W }} is the weight average molecular weight and Mn\overline{ M _{ n }} is the number average molecular weight of a polymer, the poly dispersity index (PDI) of the polymer is given by:

A

MnMw\frac{\overline{ M _{ n }}}{\overline{ M _{ w }}}

B

MwMn\frac{\overline{ M _{ w }}}{\overline{ M _{ n }}}

C

Mw×Mn\overline{ M _{w}} \times \overline{ M _{n}}

D

1Mw×Mn\frac{1}{\overline{ M _{ w }} \times \overline{ M _{ n }}}

Answer

MwMn\frac{\overline{ M _{ w }}}{\overline{ M _{ n }}}

Explanation

Solution

The ratio of weight average molecular weight and the number average molecular weight is called polydispersity index (PDI).
PDI=MˉwMˉnPDI =\frac{\bar{M}_{w}}{\bar{M}_{n}}
where,
Mw=\overline{ M }_{ w }= weight average molecular weight
Mn=\overline{ M }_{ n }= number average molecular weight
PDI is unity for natural monodiapersed polymer but for synthetic polymers it is always greater than unity.