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Plotting Z against x gives a straight line that yields r2 =a and r1 as intercepts on extrapolation to x 0 and x 1, respectively The value of a, chosen as a Fm FM 1=2 where Fm and FM are the lowest and highest F values, respectively, distributes the experimental data symmetrically on the plot Even with the Kelen Tudos re nement there are statistical limitations inherent in the linearization method The independent variable in any form of the linear equation is not really independent, while the dependent variable does not have a constant variance [O Driscoll and Reilly, 1987] The most statistically sound method of analyzing composition data is the nonlinear method, which involves plotting the instantaneous copolymer composition versus comonomer feed composition for various feeds and then determining which theoretical plot best ts the data by trial-and-error selection of r1 and r2 values.



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1 2 3

= exp (

The pros and cons of the two methods have been discussed in detail, along with approaches for the best choice of feed compositions to maximize the accuracy of the r1 and r2 values [Bataille and Bourassa, 1989; Habibi et al, 2003; Hautus et al, 1984; Kelen and Tudos, 1990; Leicht and Fuhrmann, 1983; Monett et al, 2002; Tudos and Kelen, 1981] The use of a differential form of the copolymerization equation assumes that the feed composition does not change during the experiment, but this is not true One holds the conversion as low as possible, but there are limitations since one must be able to isolate a sample of the copolymer for direct analysis (or, if copolymer analysis is via the change in feed composition, there must be a signi cantly measurable change in the feed composition).

T [-~Aj(O)]





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Jul 13, 2015 · Convert PDF to Word Using C# PdfBox: This third-party Nuget package will be used to read a PDF file. DocX: This package will be used to write a Word document.

The use of an integrated form of the copolymerization equation does not have this limitation [Hamielec et al, 1989; O Driscoll and Reilly, 1987; Plaumann and Branston, 1989] The change in copolymer composition or feed composition with conversion is measured and the results curve tted to an integrated form of the copolymerization equation For example, one method uses the previously described Eq 6-34 [Meyer, 1966] Experimental data on the variation of feed composition with conversion are plotted as f1 or f2 versus 1-M/M0 to yield curves like those in Fig 6-3 Using computational procedures, one then determines the best values of r1 and r2 that must be used with Eq 6-34 to yield the same plot..

[!~Aj(O)rj],

6-2g 6-2g-1

The copolymerization equation describes the copolymer composition on a macroscopic scale, that is, the overall composition of a copolymer sample produced from a comonomer feed. This leaves unanswered two details concerning composition copolymer. The rst concerns the exact arrangement of the two monomers along the polymer chain. Although the

(6.42)

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13 Jul 2015 ... Convert PDF to Word Using C# The first step will be to get the PdfBox package using the Nuget Package Manager. Now, import the following DLLs into your .cs file: The third step will be to install the DocX NuGet Package from the NuGet Package Manager: Let's read a PDF file and try to get the text from it.

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13 Jul 2015 ... Convert PDF to Word Using C# The first step will be to get the PdfBox package using the Nuget Package Manager. Now, import the following DLLs into your .cs file: The third step will be to install the DocX NuGet Package from the NuGet Package Manager: Let's read a PDF file and try to get the text from it.

copolymers produced by copolymerization are often referred to as random copolymers, this term is inappropriate, since it indicates that the two monomer units are randomly placed along the copolymer chain. This only occurs for the case r1 r2 1. There is a de nite trend toward a regular microstructure for all other cases. For example, if r1 > 1, once a pro* * pagating species of type M1 is formed, it will tend to a sequence of M1 units. M1 will tend to add the other monomer unit if r1 < 1. However, there is a random aspect to copolymerization due to the probabilistic nature of chemical reactions. Thus, an r1 value of 2 does not imply that 100% of all M1 units will be found as part of M1M1M1M2 sequences. A very large fraction of, but not all, M1 units will be found in such a sequence; a small fraction of M1 units will be randomly distributed. The microstructure of a copolymer is de ned by the distributions of the various lengths of the M1 and M2 sequences, that is, the sequence length distributions. The probabilities or mole fractions N 1 x and N 2 x of forming M1 and M2 sequences of length x are given (Sec. 6-2b) by

The complete translation T can be achieved by translating each component of p successively:

N 1 x p11 x 1 p12 N 2 x p22 x 1 p21 6-23 6-40

[-~Aj(O)]

where the p values are de ned by Eqs. 6-17 through 6-20. Equations 6-23 and 6-40 allow one to calculate the mole fractions of different lengths of M1 and M2 sequences. Distributions for a number of copolymerization systems have been described [Tirrell, 1986; Tosi, 1967 1968; Vollmert, 1973]. Figure 6-8 shows the sequence length distribution for an ideal copolymerization with r1 r2 1 for an equimolar feed composition f1 0:5 . For this system

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Apr 20, 2017 · More from SautinSoft Team. Convert DOCX file to PDF file in C# (without using MS Office) - Step by Step. 1.6 Star. Convert PDF file to Word file in C# - Step by Step. Convert PDF file to Excel file in C# - Step by Step. Convert PDF file to XML file in C# - Step by Step. Convert DOC (DOCX) file to PDF file in C# - Step ...

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