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Q.

If polythene sample contains two monodisperse fractions in the ratio 2: 3with degree of polymerization 100 and 200. Respectively. Then its weight average molecular weight will be

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answer is 4900.

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Detailed Solution

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Degree of polymerization of 1 polymer=100
Degree of polymerization of II polymer=200 N 1 =2: N 2 =3   Molar mass of monomer (ethylene) of polythene=28g/mol
Now, degree of polymerization is given as DP=  Molar mass of monomer   Molar mass of polymer   
Thus, Molar mass of I polymer M 1 =100×28=2800g/mol  
Molar mass of II polymer M 2 =200×28=5600g/mol  
Now, the weight average molecular weight is given as: M w = n i M i 2 n i Mi  
M w = n i M 1 2 + n 2 M 2 2 n 1 M 1 + n 2 M 2 = 2 (2800) 2 +3 (5600) 2 2×2800+3×5600 =4900g/mol    
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