Determination of Molecular Weight of Polymers
CHXII15:POLYMERS

325075 If \(\mathrm{N}_{1}, \mathrm{~N}_{2}, \mathrm{~N}_{3}\) are the number of molecules with molecular masses\({{\rm{M}}_{\rm{1}}}{\rm{,}}\,{{\rm{M}}_{\rm{2}}}{\rm{,}}\,{{\rm{M}}_{\rm{3}}}\) respectively, then mass average molecular weight is

1 \(\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {\rm{M}}_{\rm{i}}^{\rm{2}}}}{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}\)
2 \(\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}{{\sum {{{\rm{N}}_{\rm{i}}}} }}\)
3 \(\frac{{\sum {{\rm{M}}_{\rm{i}}^{\rm{2}}} }}{{\sum {{{\rm{N}}_{\rm{i}}}} }}\)
4 \(\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}{{\sum {{{\rm{M}}_{\rm{i}}}} }}\)