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50%, and the bond yields often approached 6% well above their level of 1930 In the 1960 s, Danish yields soared, rising to levels well above the very high English level This was true of both long-term and short-term rates In the 1970 s, all Danish yields again rose steeply The Danish discount rate reached a peak of 11% during 1979 1981 The peak in government bond yields came in 1982 and was above 20% Long yields averaged higher than the extraordinarily high English yields and far above all other Scandinavian yields The contrast with Norway s low yields was striking, at least until the mid-1980 s, when, for the first time since 1940, Danish yields became lower than Norwegian yields IRELAND Recent Irish interest rates are represented in Table 73 by two series, the official discount rate and government bond yields.

is applicable to an analysis of polymerization depolymerization equilibria. G is the G of polymerization for the monomer and polymer in the appropriate standard states [Dainton and Ivin, 1950, 1958; Ivin, 2000]. The standard state for monomer is often taken as the pure monomer or a 1 M solution. The standard state for the polymer is usually the solid amorphous or slightly crystalline polymer or a solution that is 1 M in the repeat unit of the

Fig. 3-14 Variation of kp [M] and kdp with temperature for styrene. After Dainton and Ivin [1958] (by permission of The Chemical Society, Burlington House, London).

polymer. For an equilibrium situation G 0, Q K and Eq. 3-175 may be combined with Eq. 3-173 to yield

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We ll be battling particulate matter: It wants in, we want it out. Having the right respirator at hand is only common sense (see Figure 5-14). If you intend to spray paint your instruments, be sure to wear the appropriate mask. The same with drilling at higher speeds or any activity that produces airborne particulates. Always mask up!

Very close financial ties have been maintained between Ireland and the United Kingdom Although the Irish discount rate did not follow the English bank rate from year to year, its decennial average was nearly identical to Britain s in the 1950 s and 1960 s In the 1970 s and 1980 s,.

G H T S RT ln K 3-176

K Mn 1 1 Mn M M 3-177

however, Irish interest rates averaged even higher than English interest rates The official discount rate rose to 1275% in 1973, and further to 1650% in 1979 and 1981, paralleling peaks in the English bank rate The Irish government bond yields reported were also close to English long-term bond yields in the 1950 s and 1960 s Yields started up in 1965, in Ireland as elsewhere From that time on, Irish bond yields generally ranged above English yields PORTUGAL Portugal is an ancient trading nation, which must have a long and colorful interest-rate history, extending backward for many centuries Unfortunately, organized data on early Portuguese interest rates are not available Therefore Portuguese interest rates are represented in Table 74 only by two series, which start in 1930: the official discount rate and government bond yields.

Equation 3-178b shows the equilibium monomer concentration M c as a function of the reaction or ceiling temperature Tc . (Note that H in Eq. 3-178 can be replaced by H because the enthalpy change is independent of [M]. This is not the case for S since the entropy change is dependent on [M].) Since H is a negative quantity, the monomer concentration in equilibrium with polymer increases with increasing temperature, that is, a plot of M c versus 1=T is linear with a negative slope of H =R and intercept of S =R. This means that there is a series of ceiling temperatures corresponding to different equilibrium monomer concentrations. For any monomer solution of concentration M c there is a temperature Tc at which polymerization does not occur. (For each M c there is a corresponding plot analogous to Fig. 3-14, in which kdp kp M at its Tc .) Stated another way, the polymerization of a particular monomer solution at a particular temperature proceeds until

TABLE 3-16 Polymerization Depolymerization Equilibriaa Monomer Vinyl acetate Methyl acrylate Ethylene Styrene Methyl methacrylate a-Methylstyrene Isobutylene M c at 25 C 1 10 9 1 10 9 1 10 6 1 10 3 2.2 Tc for Pure Monomer ( C) 400 310 220 61 50

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