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Question

A polymeric sample in which 30% molecules have a molecular mass 20,000, 40% have 30,000 and the rest 30% have 60,000. The (¯Mn) and (¯Mw) of this sample are, respectively:

A
36,000,43,333
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B
43,000,36,000
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C
72,000,86,000
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D
86,000,72,000
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Solution

The correct option is A 36,000,43,333
Number average molecular weight
(¯Mn)=ΣNiMiΣNi=30(20000)+40(30000)+30(60000)30+40+30=36000

Weight average molecular weight

(¯Mw)=ΣNiM2iΣNiMi=30(20000)2+40(30000)2+30(60000)230(20000)+40(30000)+30(60000)=43333

Hence, the (¯Mn) and (¯Mw) of this sample are, respectively 36,000 and 43,333

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