Rate pH dependence

Fig. 21 Rate-pH dependence of the acylation and deacylation steps in the chymotrypsin-catalysed hydrolysis of 4-nitrophenyl trimethylacetate...

Phenolic resins wood adhesives are used without any hardeners. Only heat sets off their hardening reaction. Their rate of hardening is strongly dependent on the resin pH. Their minimum reactivity occurs at around pH 4. They harden progressively and markedly faster as the pH increases, up to pH between 9 and 13, the maximum hardening rate pH depending on the type and age of the resin. " ... 

It is obvious that the reaction is accelerated markedly by water. However, for the first time, the Diels-Alder reaction is not fastest in water, but in 2,2,2-trifiuoroethanol (TFE). This might well be a result of the high Bronsted acidity of this solvent. Indirect evidence comes from the pH-dependence of the rate of reaction in water (Figure 2.1). Protonation of the pyridyl nitrogen obviously accelerates the reaction. 

Sodium cyanoborohydride is remarkably chemoselective. Reduction of aldehydes and ketones are, unlike those with NaBH pH-dependent, and practical reduction rates are achieved at pH 3 to 4. At pH 5—7, imines (>C=N—) are reduced more rapidly than carbonyls. This reactivity permits reductive amination of aldehydes and ketones under very mild conditions (42). 

The lanthanides form many compounds with organic ligands. Some of these compounds ate water-soluble, others oil-soluble. Water-soluble compounds have been used extensively for rare-earth separation by ion exchange (qv), for example, complexes form with citric acid, ethylenediaminetetraacetic acid (EDTA), and hydroxyethylethylenediaminetriacetic acid (HEEDTA) (see Chelating agents). The complex formation is pH-dependent. Oil-soluble compounds ate used extensively in the industrial separation of rate earths by tiquid—tiquid extraction. The preferred extractants ate catboxyhc acids, otganophosphoms acids and esters, and tetraaLkylammonium salts. 

Other ingredients besides the elastomer and the cure system itself influence cure and scorch behavior. Usually the effect of a material on cure is pH-dependent. Ingredients which are basic in nature tend to accelerate the rate of both scorch and cure, whereas acidic materials exhibit the opposite effect. 

Below pH 11, the decomposition rate becomes dependent on pH and the mechanism becomes more compHcated. The rate increases greatiy as the... 

L/(mol-s) (39,40). QDI is also attacked by hydroxide ion (eq. 4) to produce a quinone monoimine (QMI), itself an oxidized developer derived from /)-aminopheno1. Such compounds can further react with coupler, albeit at a slower rate than QDI, to form a dye and were cited in the seminal patent as color developers (32). However, the dyes derived from this deaminated developer have different hues from the QDI dyes, and these hues are pH-dependent as a consequence of the phenoHc group contributed by the developer. Although the deamination reaction to produce QMI is fast, the rate constant is 10 to 10 L/(mol-s) (40—42), its effect is somewhat offset by the redox reaction of the QMI with the reduced developer, present in large excess, to regenerate the desired QDI. The primary net effect of the deamination reaction is to enlarge the resulting dye cloud (43). 

The use of an extractant depends on loading capacity, extraction rate, pH range, and the cost of the reagent and the diluent. Loss of the extractant must be minimised because of its high cost. Organic losses to the aqueous phase are also undesirable because of the deleterious effect on cathode deposits. Advances in SX—EW processes are described in Reference 38. 

In a series of detailed studies, Armand and coworkers have examined the electrochemical reduction of pyrazines (72CR(C)(275)279). The first step results in the formation of 1,4-dihydropyrazines (85), but the reaction is not electrochemically reproducible. The 1,4-dihydropyrazine is pH sensitive and isomerizes at a pH dependent rate to the 1,2-dihydro compound (83). The 1,2-dihydropyrazine then appears to undergo further reduction to 1,2,3,4-tetrahydropyrazine (88) which is again not electrochemically reproducible. Compound (88) then appears to undergo isomerization to another tetrahydro derivative, presumably (8, prior to complete reduction to piperazine (89). These results have been confirmed (72JA7295). 

The role that acid and base catalysts play can be quantitatively studied by kinetic techniques. It is possible to recognize several distinct types of catalysis by acids and bases. The term specie acid catalysis is used when the reaction rate is dependent on the equilibrium for protonation of the reactant. This type of catalysis is independent of the concentration and specific structure of the various proton donors present in solution. Specific acid catalysis is governed by the hydrogen-ion concentration (pH) of the solution. For example, for a series of reactions in an aqueous buffer system, flie rate of flie reaction would be a fimetion of the pH, but not of the concentration or identity of the acidic and basic components of the buffer. The kinetic expression for any such reaction will include a term for hydrogen-ion concentration, [H+]. The term general acid catalysis is used when the nature and concentration of proton donors present in solution affect the reaction rate. The kinetic expression for such a reaction will include a term for each of the potential proton donors that acts as a catalyst. The terms specific base catalysis and general base catalysis apply in the same way to base-catalyzed reactions. 

Solutions of unstable enols of simple ketones and aldehydes can also be generated in water by addition of a solution of the enolate to water. The initial protonation takes place on oxygen, generating the enol, which is then ketonized at a rate that depends on the solution pH. The ketonization exhibits both acid and base catalysis. Acid catalysis involves C-protonation with concerted 0-deprotonation. 

Show that the rate of this reaction is pH-independent, despite the involvement of two species, the concentrations of which are pH-dependent. 

These two experiments make a number of important points. An <7-HMP will not react with an ortho position as long as a para reaction site is available. A p-HMP will react with unoccupied ortho position at about half the rate that it reacts with a substituted para position. This suggests that there is something special about the repulsion between the phenolic hydroxyls. Since the pH was only 8, it is clear that there was ample opportunity for a salted 2-HMP to find and react with an unsalted 2-HMP. Both species were present. On this basis, we cannot invoke repulsion of like-charged ions. According to Jones salted species probably react with unsalted species and this is one reason that reaction rate drops rapidly when PF pH gets much above 9.0 [147]. Yet the phenolic hydroxyl appears to be the cause of the reduced reactivity of the ortho position. Unfortunately, Jones did much of his work in a carbonate buffer. He did not realize the pH-dependent accelerating effects of carbonate on PF condensation. 

Polymerization and curing rates of novolacs depend strongly on the acidity of the reaction mixture. Fig. 16 depicts the general pH dependence. Fig. 17 shows a partial structure for a hexa-cured novolac. Incorporation of amine is widely, though not universally, reported in hexa-cured novolac structures. In addition to the structure shown in Fig. 17, A, A -dibenzyl and A, A, A -tribenzylamine linkages have been reported [185-192]. The main by-products of hexa-curing conditions are water and ammonia, though formaldehyde is also produced. The structure and abundance of the amino portions of the cured polymer vary considerably with conditions. 

Permeation rates are dependent on the ehemieal makeup of the eontamination. This ineludes the size of the eontaminant (how large or small the moleeule or partiele is) and on the pore size of the proteetive material (for instanee, impermeable rubber suits, tyveks, or eotton eoveralls). Chemieal eharaeteristies (i.e., polarity, vapor pressure, pH) of both the eontaminant and the proteetive material also determine permeability. Keep in mind that gases, vapors, and low-viseosity liquids tend to permeate more readily than high-viseosity liquids or solids [2],... 

Change of reaction conditions to minimize kinetic complications. For example, if two parallel reactions have substantially different activation energies, their relative rates will depend upon the temperature. The reaction solvent, pH, and concentrations are other experimental variables that may be manipulated for this purpose. 

However, as the pH—rate plot shows, at very low pH the observed rate actually decreases. Because, as the preceding argument shows, rate-determining dehydration should result in a pH-dependent rate at low pH, this decreased rate must mean that the rds has changed. This is reasonable, for at pH values well below the pKg of hydroxylamine, the decreasing proportion of the hydroxylamine in the unprotonated form will decrease the rate of the initial addition. At some pH, then, the rate of the addition step will fall below that of the dehydration step, and the observed rate curve will lie lower than the rate predicted for the dehydration. 

FIGURE 16.11 Specific and general acid-base catalysis of simple reactions in solution may be distinguished by determining the dependence of observed reaction rate constants (/sobs) pH and buffer concentration, (a) In specific acid-base catalysis, or OH concentration affects the reaction rate, is pH-dependent, but buffers (which accept or donate H /OH ) have no effect, (b) In general acid-base catalysis, in which an ionizable buffer may donate or accept a proton in the transition state, is dependent on buffer concentration. 

The hydrazine-oxygen scavenging reaction is pH-dependent (like sulfite), and an increase in pH from 8 to 9 produces a threefold increase in reaction rate and a further three fold increase from pH 9 to 10. 

A mechanistic explanation of this selectivity was, however, only given in 1952 (Wittwer and Zollinger). An aminonaphthol coupling component can be considered as a superposition of a naphthol and a naphthylamine. The rates of azo couplings of both these components show the characteristic pH-dependences discussed for naphthols above. For naphthylamines it is the base, and not the ammonium ion, that reacts with the diazonium ion. This pre-equilibrium has a p Ta-value of about 4. Therefore the 1 1 gradient of log A Nh2 against pH is observed only in the range pH <4. 

Further evidence regarding the mechanism was provided by LynnandBoums643 , who found a pH-dependent carbon-13 isotope effect in the decarboxylation of 2,4-dihydroxybenzoic acid in acetate buffers. The dependence was interpreted in favour of the A-SE2 mechanism, for an increase in acetate concentration would increase kL t and hence partitioning of the intermediate so that k 2 becomes more rate-determining. 

At pH < 5.0, the reaction rate was dependent upon the first power of the hydrogen ion concentration and at pH > 5.0 upon the square of this concentration as indicated by the data in Table 257. It was pointed out that the rate equation (300) was equivalent to... 

This situation is called a substrate titration. That is, the change in rate with [H+] is the sole consequence of an equilibrium incidental to the main event. It is customary to display pH-dependent rates by plots of (v/[A]t) versus pH that is, by log versus pH. Two common patterns are shown in Fig. 6-1, for cases in which there is a single protonation equilibrium. The case in Fig. 6-la corresponds to Eq. (6-81) we return later to Fig. 6-1 b. The line bends down, as do all instances of substrate titration. The apparent order of the reaction with respect to [H+] is +1 in the limit of low [H+] and 0 at high. 

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