### Molecular Weight Analysis of PolytetrafluoroethyleneThe following table provides molecular weight data for a polytetrafluoroethylene material. You are asked to compute:(a) The number-average molecular weight (b) The weight-average molecular weight (c) The degree of polymerization #### Table: Molecular Weight Distribution| Molecular Weight Range (g/mol) | \( x_i \) | \( w_i \) ||----------------------------------|-----------|-----------|| 10,000–20,000 | 0.03 | 0.01 || 20,000–30,000 | 0.09 | 0.04 || 30,000–40,000 | 0.15 | 0.11 || 40,000–50,000 | 0.25 | 0.23 || 50,000–60,000 | 0.22 | 0.24 || 60,000–70,000 | 0.14 | 0.18 || 70,000–80,000 | 0.06 | 0.12 || 80,000–90,000 | 0.04 | 0.07 |- **\( x_i \)** represents the mole fraction.- **\( w_i \)** denotes the weight fraction.To compute the number-average molecular weight, \( M_n \):\[ M_n = \frac{\Sigma (x_i M_i)}{\Sigma x_i} \]For the weight-average molecular weight, \( M_w \):\[ M_w = \frac{\Sigma (w_i M_i)}{\Sigma w_i} \]The degree of polymerization can be calculated using:\[ \text{Degree of Polymerization} = \frac{M_n}{M_0} \]Where \( M_0 \) is the molecular weight of the monomer unit.These computations will help characterize the polymer's molecular distribution, affecting its physical and chemical properties.

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14.5 The following table lists molecular weight data O for a polytetrafluoroethylene material. Compute the following: (a) the number-average molecular weight (b) the weight-average molecular weight (c) the degree of polymerization Molecular Weight Range (g/mol) X; W; 10,000-20,000 0.03 0.01 20,000-30,000 0.09 0.04 30,000-40,000 0.15 0.11 40,000-50,000 0.25 0.23 50,000-60,000 0.22 0.24 60,000-70,000 0.14 0.18 70,000-80,000 0.08 0.12 80,000-90,000 0.04 0.07

14.5 The following table lists molecular weight data O for a polytetrafluoroethylene material. Compute the following: (a) the number-average molecular weight (b) the weight-average molecular weight (c) the degree of polymerization Molecular Weight Range (g/mol) X; W; 10,000-20,000 0.03 0.01 20,000-30,000 0.09 0.04 30,000-40,000 0.15 0.11 40,000-50,000 0.25 0.23 50,000-60,000 0.22 0.24 60,000-70,000 0.14 0.18 70,000-80,000 0.08 0.12 80,000-90,000 0.04 0.07

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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