Knowing that: in linear polymers the individual polymer chains rarely have the exact same degree of polymerization and molar mass, and there is always a distribution around an average value; the Molar mass distribution (or molecular weight distribution) in a polymer describes the relationship between the number of moles of each polymer species (N₁) and the molar mass (M₁) of that species. Mn MW- M₂ M₂ = = number-average molecular weight = weight-average molecular weight Σ.Ν.Μ. Σ¡ N₂ = Σi N₁M² Σ; Ν;Μ; Polydispersity index = 18 000 10 000 15 000 17 000 4 000 9 000 Mw, Mn 9. Calculate the Mn, Mw, and PDI for a polymer sample that has six lengths of chains, characterized by the information in the table below. Number of moles of each type of chain Molecular weight of each type of chain (g/mol) 4 000 7 000 9 000 12 000 18 000 20 000

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Knowing that: in linear polymers the individual polymer chains rarely have the
exact same degree of polymerization and molar mass, and there is always a
distribution around an average value; the Molar mass distribution (or molecular
weight distribution) in a polymer describes the relationship between the number
of moles of each polymer species (N₁) and the molar mass (M₁) of that species.
Mn
Mw
weight-average molecular weight
Σ; Ν;Μ;
Ei Ni
Σi N₂M²
Σ; Ν;Μ;
Polydispersity index = Mw, Mn
Mn
=
Mu
=
= number-average molecular weight
=
=
9. Calculate the Mn, MW, and PDI for a polymer sample that has six
lengths of chains, characterized by the information in the table below.
4 000
9 000
Number of moles of each type of
chain
18 000
10 000
15 000
17 000
Molecular weight of each type of chain
(g/mol)
4 000
7 000
9 000
12 000
18 000
20 000
Transcribed Image Text:Knowing that: in linear polymers the individual polymer chains rarely have the exact same degree of polymerization and molar mass, and there is always a distribution around an average value; the Molar mass distribution (or molecular weight distribution) in a polymer describes the relationship between the number of moles of each polymer species (N₁) and the molar mass (M₁) of that species. Mn Mw weight-average molecular weight Σ; Ν;Μ; Ei Ni Σi N₂M² Σ; Ν;Μ; Polydispersity index = Mw, Mn Mn = Mu = = number-average molecular weight = = 9. Calculate the Mn, MW, and PDI for a polymer sample that has six lengths of chains, characterized by the information in the table below. 4 000 9 000 Number of moles of each type of chain 18 000 10 000 15 000 17 000 Molecular weight of each type of chain (g/mol) 4 000 7 000 9 000 12 000 18 000 20 000
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