Molecular mass of polymers is determined by two types of average molecular masses. (i) Number average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{n}}}} \right)\) \({\overline {\rm{M}} _{\rm{n}}} = \frac{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}}}{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}}} = \frac{{{{\rm{N}}_{\rm{1}}}{{\rm{M}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{{\rm{M}}_{\rm{2}}}{\rm{ + }} \ldots \ldots }}{{{{\rm{N}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{\rm{ + }}{{\rm{N}}_{\rm{3}}}\,{\rm{ \ldots }} \ldots }}\) where, total \({{\text{N}}_{\text{i}}}\) molecules have molecular mass \( = {{\text{M}}_{\text{i}}}\) It can also be written in terms of concentration of molecules as \({\overline {\rm{M}} _{\rm{n}}} = \frac{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}} }}\) (ii) Weight average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{w}}}} \right)\) \({\overline {\rm{M}} _{\rm{w}}} = \frac{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{\rm{M}}_{\rm{i}}^{\rm{2}}} }}{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}\)
CHXII15:POLYMERS
325063
If \({{\rm{N}}_{\rm{1}}},{{\rm{N}}_{\rm{2}}},{{\rm{N}}_{\rm{3}}}....\) are the number of molecules with molecular masses \({{\rm{M}}_{\rm{1}}}{\rm{,}}\,{{\rm{M}}_{\rm{2}}}{\rm{,}}\,{{\rm{M}}_{\rm{3}}}....\) respectively, then average molecular mass is expressed as
Number average molecular mass \({\rm{(}}\overline {\rm{M}} {\rm{n) = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum {{{\rm{N}}_{\rm{i}}}} }}\) Mass average molecular mass \(\overline {{\rm{Mw}}} {\rm{ = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {\rm{M}}_{\rm{i}}^{\rm{2}}}}{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}\)
CHXII15:POLYMERS
325064
The most suitable method for determination of the molecular mass of polymer is
1 Victor-Meyer's Method
2 Osmotic pressure
3 Elevation in boiling point
4 Depression in freezing point
Explanation:
Osmotic pressure is the best method to find the molecular mass of the polymer.
CHXII15:POLYMERS
325065
Number average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{n}}}} \right)\) and weight average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{w}}}} \right)\) of synthetic polymers are related as
Molecular mass of polymers is determined by two types of average molecular masses. (i) Number average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{n}}}} \right)\) \({\overline {\rm{M}} _{\rm{n}}} = \frac{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}}}{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}}} = \frac{{{{\rm{N}}_{\rm{1}}}{{\rm{M}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{{\rm{M}}_{\rm{2}}}{\rm{ + }} \ldots \ldots }}{{{{\rm{N}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{\rm{ + }}{{\rm{N}}_{\rm{3}}}\,{\rm{ \ldots }} \ldots }}\) where, total \({{\text{N}}_{\text{i}}}\) molecules have molecular mass \( = {{\text{M}}_{\text{i}}}\) It can also be written in terms of concentration of molecules as \({\overline {\rm{M}} _{\rm{n}}} = \frac{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}} }}\) (ii) Weight average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{w}}}} \right)\) \({\overline {\rm{M}} _{\rm{w}}} = \frac{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{\rm{M}}_{\rm{i}}^{\rm{2}}} }}{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}\)
CHXII15:POLYMERS
325063
If \({{\rm{N}}_{\rm{1}}},{{\rm{N}}_{\rm{2}}},{{\rm{N}}_{\rm{3}}}....\) are the number of molecules with molecular masses \({{\rm{M}}_{\rm{1}}}{\rm{,}}\,{{\rm{M}}_{\rm{2}}}{\rm{,}}\,{{\rm{M}}_{\rm{3}}}....\) respectively, then average molecular mass is expressed as
Number average molecular mass \({\rm{(}}\overline {\rm{M}} {\rm{n) = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum {{{\rm{N}}_{\rm{i}}}} }}\) Mass average molecular mass \(\overline {{\rm{Mw}}} {\rm{ = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {\rm{M}}_{\rm{i}}^{\rm{2}}}}{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}\)
CHXII15:POLYMERS
325064
The most suitable method for determination of the molecular mass of polymer is
1 Victor-Meyer's Method
2 Osmotic pressure
3 Elevation in boiling point
4 Depression in freezing point
Explanation:
Osmotic pressure is the best method to find the molecular mass of the polymer.
CHXII15:POLYMERS
325065
Number average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{n}}}} \right)\) and weight average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{w}}}} \right)\) of synthetic polymers are related as
Molecular mass of polymers is determined by two types of average molecular masses. (i) Number average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{n}}}} \right)\) \({\overline {\rm{M}} _{\rm{n}}} = \frac{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}}}{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}}} = \frac{{{{\rm{N}}_{\rm{1}}}{{\rm{M}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{{\rm{M}}_{\rm{2}}}{\rm{ + }} \ldots \ldots }}{{{{\rm{N}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{\rm{ + }}{{\rm{N}}_{\rm{3}}}\,{\rm{ \ldots }} \ldots }}\) where, total \({{\text{N}}_{\text{i}}}\) molecules have molecular mass \( = {{\text{M}}_{\text{i}}}\) It can also be written in terms of concentration of molecules as \({\overline {\rm{M}} _{\rm{n}}} = \frac{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}} }}\) (ii) Weight average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{w}}}} \right)\) \({\overline {\rm{M}} _{\rm{w}}} = \frac{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{\rm{M}}_{\rm{i}}^{\rm{2}}} }}{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}\)
CHXII15:POLYMERS
325063
If \({{\rm{N}}_{\rm{1}}},{{\rm{N}}_{\rm{2}}},{{\rm{N}}_{\rm{3}}}....\) are the number of molecules with molecular masses \({{\rm{M}}_{\rm{1}}}{\rm{,}}\,{{\rm{M}}_{\rm{2}}}{\rm{,}}\,{{\rm{M}}_{\rm{3}}}....\) respectively, then average molecular mass is expressed as
Number average molecular mass \({\rm{(}}\overline {\rm{M}} {\rm{n) = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum {{{\rm{N}}_{\rm{i}}}} }}\) Mass average molecular mass \(\overline {{\rm{Mw}}} {\rm{ = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {\rm{M}}_{\rm{i}}^{\rm{2}}}}{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}\)
CHXII15:POLYMERS
325064
The most suitable method for determination of the molecular mass of polymer is
1 Victor-Meyer's Method
2 Osmotic pressure
3 Elevation in boiling point
4 Depression in freezing point
Explanation:
Osmotic pressure is the best method to find the molecular mass of the polymer.
CHXII15:POLYMERS
325065
Number average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{n}}}} \right)\) and weight average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{w}}}} \right)\) of synthetic polymers are related as
Molecular mass of polymers is determined by two types of average molecular masses. (i) Number average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{n}}}} \right)\) \({\overline {\rm{M}} _{\rm{n}}} = \frac{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}}}{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}}} = \frac{{{{\rm{N}}_{\rm{1}}}{{\rm{M}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{{\rm{M}}_{\rm{2}}}{\rm{ + }} \ldots \ldots }}{{{{\rm{N}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{\rm{ + }}{{\rm{N}}_{\rm{3}}}\,{\rm{ \ldots }} \ldots }}\) where, total \({{\text{N}}_{\text{i}}}\) molecules have molecular mass \( = {{\text{M}}_{\text{i}}}\) It can also be written in terms of concentration of molecules as \({\overline {\rm{M}} _{\rm{n}}} = \frac{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}} }}\) (ii) Weight average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{w}}}} \right)\) \({\overline {\rm{M}} _{\rm{w}}} = \frac{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{\rm{M}}_{\rm{i}}^{\rm{2}}} }}{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}\)
CHXII15:POLYMERS
325063
If \({{\rm{N}}_{\rm{1}}},{{\rm{N}}_{\rm{2}}},{{\rm{N}}_{\rm{3}}}....\) are the number of molecules with molecular masses \({{\rm{M}}_{\rm{1}}}{\rm{,}}\,{{\rm{M}}_{\rm{2}}}{\rm{,}}\,{{\rm{M}}_{\rm{3}}}....\) respectively, then average molecular mass is expressed as
Number average molecular mass \({\rm{(}}\overline {\rm{M}} {\rm{n) = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum {{{\rm{N}}_{\rm{i}}}} }}\) Mass average molecular mass \(\overline {{\rm{Mw}}} {\rm{ = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {\rm{M}}_{\rm{i}}^{\rm{2}}}}{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}\)
CHXII15:POLYMERS
325064
The most suitable method for determination of the molecular mass of polymer is
1 Victor-Meyer's Method
2 Osmotic pressure
3 Elevation in boiling point
4 Depression in freezing point
Explanation:
Osmotic pressure is the best method to find the molecular mass of the polymer.
CHXII15:POLYMERS
325065
Number average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{n}}}} \right)\) and weight average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{w}}}} \right)\) of synthetic polymers are related as
Molecular mass of polymers is determined by two types of average molecular masses. (i) Number average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{n}}}} \right)\) \({\overline {\rm{M}} _{\rm{n}}} = \frac{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}}}{{{\Sigma _{\rm{i}}}{{\rm{N}}_{\rm{i}}}}} = \frac{{{{\rm{N}}_{\rm{1}}}{{\rm{M}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{{\rm{M}}_{\rm{2}}}{\rm{ + }} \ldots \ldots }}{{{{\rm{N}}_{\rm{1}}}{\rm{ + }}{{\rm{N}}_{\rm{2}}}{\rm{ + }}{{\rm{N}}_{\rm{3}}}\,{\rm{ \ldots }} \ldots }}\) where, total \({{\text{N}}_{\text{i}}}\) molecules have molecular mass \( = {{\text{M}}_{\text{i}}}\) It can also be written in terms of concentration of molecules as \({\overline {\rm{M}} _{\rm{n}}} = \frac{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum\nolimits_i {{{\rm{C}}_{\rm{i}}}} }}\) (ii) Weight average molecular mass \(\left( {{{\overline {\text{M}} }_{\text{w}}}} \right)\) \({\overline {\rm{M}} _{\rm{w}}} = \frac{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{\rm{M}}_{\rm{i}}^{\rm{2}}} }}{{\sum\nolimits_i {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}\)
CHXII15:POLYMERS
325063
If \({{\rm{N}}_{\rm{1}}},{{\rm{N}}_{\rm{2}}},{{\rm{N}}_{\rm{3}}}....\) are the number of molecules with molecular masses \({{\rm{M}}_{\rm{1}}}{\rm{,}}\,{{\rm{M}}_{\rm{2}}}{\rm{,}}\,{{\rm{M}}_{\rm{3}}}....\) respectively, then average molecular mass is expressed as
Number average molecular mass \({\rm{(}}\overline {\rm{M}} {\rm{n) = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}{{\rm{M}}_{\rm{i}}}} }}{{\sum {{{\rm{N}}_{\rm{i}}}} }}\) Mass average molecular mass \(\overline {{\rm{Mw}}} {\rm{ = }}\frac{{\sum {{{\rm{N}}_{\rm{i}}}} {\rm{M}}_{\rm{i}}^{\rm{2}}}}{{\sum {{{\rm{N}}_{\rm{i}}}} {{\rm{M}}_{\rm{i}}}}}\)
CHXII15:POLYMERS
325064
The most suitable method for determination of the molecular mass of polymer is
1 Victor-Meyer's Method
2 Osmotic pressure
3 Elevation in boiling point
4 Depression in freezing point
Explanation:
Osmotic pressure is the best method to find the molecular mass of the polymer.
CHXII15:POLYMERS
325065
Number average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{n}}}} \right)\) and weight average molecular mass \(\left( {{{\overline {\rm{M}} }_{\rm{w}}}} \right)\) of synthetic polymers are related as
