The number average of molecular weight (Mn) for that distribution is 281,250.
Ni = Number of molecules in order i
Mi = Molecular mass in order i
Number average of molecular weight or Mn is a average molecular weight for each individual macromolecules. Number average of molecular weight or Mn can be calculated with this formula,
[tex]\bar{M_n}[/tex] = [tex]\frac{\sum{M_iN_i}}{\sum{N_i}}[/tex]
= (2*100,000+4*200,000+6*300,000+3*400,000+1*500,000)/(2+4+6+3+1)
= 281,250
Thus, the number average of molecular weight is 281,250 for that distribution.
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