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d M Ri 2kt M 2 kz Z M 0 dt 3-135

(continued)

3-136

Equation 3-136 has been used to correlate rate data in inhibited polymerizations. A consideration of Eq. 3-136 shows that Rp is inversely proportional to the ratio kz =kp of the rate constants for inhibition and propagation. This ratio is often referred to as the inhibition constant z:

z kz kp 3-137

THE UNITED STATES IN THE TWENTIETH CENTURY: 1900 1945

If your C39 has leads you can snip, snip them. Solder an electrolytic 47 F cap to the same spots the original cap was attached to, or the alternate spots shown in Figure 31-3 (the original was a 33 F, but the 47 F will work fine and is usually easier to find Radio Shack part number 272-1027). It s fine to use a 33 F if you happen to have one. Either way, be sure that its voltage rating is above 6 volts (voltage rating usually appears on electrolytic caps) and that you observe the correct polarity when installing. (There will be a + sign within a circle somewhat near the positive mounting hole for the original cap; the new cap will be marked as to its own polarity with a + or - stripe pointing to one of its leads.)

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It is further seen that Rp depends on Ri to a power between one-half and unity depending on the relative magnitudes of the rst two terms in Eq. 3-136. Two limiting cases of Eq. 3-136 exist. When the second term is negligible compared to the rst, the polymerization is not retarded, and Eq. 3-136 simpli es to Eq. 3-25. For the case where retardation is strong (kz =kp ) 1), normal bimolecular termination is negligible. Under these conditions the rst term in Eq. 3-136 is negligible and one has

Equation 3-138 shows the rate of inhibited polymerization to be dependent on the rst power of the initiation rate. Further, Rp is inversely dependent on the inhibitor concentration. The induction period observed for inhibited polymerization is directly proportional to the inhibitor concentration. The inhibitor concentration will decrease with time and [Z] at any time is given by

extreme quotations; (d) market rates on short-term Treasury certificates, during 1920 1931 and three-month Treasury bills from 1931 in terms of annual averages and monthly highs and lows; (e) the rediscount rate on prime paper of the Federal Reserve Bank of New York in terms of annual averages and annual highs and lows; (f ) prime ninety-day bankers acceptance rates from 1918 in terms of annual averages; and (g) basic yields (Durand s) for one-year prime corporate bonds for February of each year. The table also presents a few other series of short rates not so closely connected with the money market: the prime rate for commercial loans from 1934, average business loan rates, a savings bank dividend rate (not a true interest rate), and demand deposit rates from 1918 to 1933. The commercial paper, call loan, and short-term Treasury rates are pictured in Chart 38 on page 356. Although these money-market rates usually rose and fell at the same time, and although all were rates on prime loans of one year or less in duration, they often differed strikingly from one another. Some examples of annual averages that illustrate the differences are shown in tabular form below.

Z Z 0 Ri t y 3-139

where Z 0 is the initial concentration of Z, t is time, and y is the number of radicals terminated per inhibitor molecule. Combination of Eqs. 3-137, 3-138b, and 3-139 yields

If there s no room to snip the leads of C39, you ll have to heat the cap s leads from the other side of the board while you pry the component away from the board. Heat one lead at a time and pry a little bit at a time until the cap is free from the board. Work very carefully and check when you re finished to be sure that no damage was done to any printed traces and that no solder bridges (shorts caused by melted solder) remain between traces. Clean the board with a little alcohol after you re done. As before, replace the old C39 with your new cap, being sure to note polarity (see Figure 31-3 for soldering locations).

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