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What will be the expected degree of polymerization and extent of reaction if the reaction is carried out in a closed system without removal of the by-product water To what level must [H2O] be lowered in order to obtain a degree of polymerization of 200 if the initial concentration of carboyxl groups is 2 M A heat-resistant polymer Nomex has a number-average molecular weight of 24,116 Hydrolysis of the polymer yields 3931% by weight m-aminoaniline, 5981% terephthalic acid, and 088% benzoic acid Write the formula for this polymer Calculate the degree of polymerization and the extent of reaction Calculate the effect on the degree of polymerization if the polymerization had been carried out with twice the amount of benzoic acid Calculate the number-average degree of polymerization of an equimolar mixture of adipic acid and hexamethylene diamine for extents of reaction 0500, 0800, 0900, 0.

950, 0970, 0990, 0995 Calculate the feed ratio of adipic acid and hexamethylene diamine that should be employed to obtain a polyamide of approximately 15,000 molecular weight at 995% conversion What is the identity of the end groups of this product Do the same calculation for a 19,000-molecular-weight polymer What proportion of benzoic acid should be used with an equimolar mixture of adipic acid and hexamethylene diamine to produce a polymer of 10,000 molecular weight at 995% conversion Do the same calculation for 19,000 and 28,000 molecular weight products Calculate the extent of reaction at which gelation occurs for the following mixtures: a Phthalic anhydride and glycerol in stoichiometric amounts b Phthalic anhydride and glycerol in the molar ratio 1500 : 0980 c Phthalic anhydride, glycerol, and ethylene glycol in the molar ratio 1500 : 0990 : 0002 d.

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Phthalic anhydride, glycerol, and ethylene glycol in the molar ratio 1500 : 0500 : 0700 Compare the gel points calculated from the Carothers equation (and its modi cations) with those using the statistical approach Describe the effect of unequal functional groups reactivity (eg, for the hydroxyl groups in glycerol) on the extent of reaction at the gel point..

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You ll be using a Dremel drill to drill all pilot holes for component mounting. Get a good package that has an adjustable chuck (instead of collets) and includes a set of bits. If possible, buy the set that includes a flexi-shaft as well as the LED illuminator. If the set does not include burr bits, buy some separately in sizes from 3 8" on down (see Figure 5-9).

2-10

2-11

2-12

Swedish bond yields, insofar as they can be traced by the effective yields of new issues of long governments, rose late in the first decade and rose more sharply in the second decade. They reached highs in 1919 1921, just about when American, English, and Dutch yields reached a high point. The Swedish government then sold 6s at a discount. In the 1920 s, Swedish bond yields declined sharply and steadily. By 1930, the government was selling 41 2s, and the market yield of discount perpetuals was 4.18%. After 1933, Sweden, like many other countries, adopted low interest rates as a matter of economic policy. The discount rate was put down to 21 2%, and the government floated 4s, then 31 2s, and then 21 2s. In 1938 the low annual average yield of 2.34% was established in the open market. This turned out to be the all-time low of Swedish bond yields. It came eight years before the American and English markets reached their low yields for the century, and it was below the English low yield of 1946. This was a brief episode for Sweden. During only two years have Swedish yields averaged below 3%. By 1940, the government was again issuing 4s. Later in the war it issued 31 2s. After World War II, there was a renewed period of low interest rates in Sweden, which lasted to the mid-1950 s. The discount rate was held at 2.50% for five years, and the market yield on perpetual governments hovered slightly above 3%. Following the devaluation of 1949, yields began a long, slow rise that at first was more gradual than the rise in America or

2-13

Although the Dremel is a must-have, there are other drills I use quite frequently (but are not needed for the usual bending projects and certainly none in this book). First is a drill press. If you need to use a hole saw to create a 3"-diameter hole in a case for speaker mounting, the press will come in very handy. The same goes for using larger bits too big to mount in the Dremel chuck. Having an electric hand drill is a good idea, too. Next is a ceiling-mounted motor connected to a flexi-shaft. This is a high-torque machine capable, even with large burr bit mounted, of bringing tiny pilot holes up to size, productionline style, without ever asking for a coffee break.

The composite or overall activation energy for the rate of polymerization ER is Ep Ed =2 Et =2 . Since Rp is given by Eq. 3-32, one can write Eq. 3-168 as

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