Benzoic acid estimates

These constants, K toK/, may be estimated by use of the Hammett equation. Estimation of 1 and K 4 involves application of the methods outlined in Section II, A, i.e., application of substituent constants for and N+H to the Hammett equation for the acid-base equilibria of benzoic acids. Estimation of A2 and involves application of the method used in Section III,A, i.e., the p-value for the basicity of substituted pyridines, with cr-values for COOH and COO . Provided the necessary a- and p-values are known, this procedure permits the calculation of four independent, or virtually independent, estimates of Krp. A check on the method is available from the relationships shown in Eq. (16) which is readily obtained by multiplication of Eq. (12) and (14) and of Eq. (13) and (15). 

The cumene oxidation route is the lea ding commercial process of synthetic phenol production, accounting for more than 95% of phenol produced in the world. The remainder of synthetic phenol is produced by the toluene oxidation route via benzoic acid. Other processes including benzene via cyclohexane, benzene sulfonation, benzene chlorination, and benzene oxychl orin ation have also been used in the manufacture of phenol. A Hst of U.S. phenol production plants and their estimated capacities in 1994 are shown in Table 2, and worldwide plants and capacities are shown in Table 3. 

The principal North American producers of benzoic acid and their estimated production capacities are as follows (17) ... 

The following experiment was performed to determine the equilibrium constant in (43). A 1.22 gram sample of benzoic acid was dissolved in 1.00 liter of water at 25°C. With dyes whose color is sensitive to acidity (indicators) the concentration of H+(aq) was estimated to be 8 X 10 4 M. 

For polychlorinated biphenyls (PCBs), rate constants were highly dependent on the number of chlorine atoms, and calculated atmospheric lifetimes varied from 2 d for 3-chlorobiphenyl to 34 d for 236-25 pentachlorobiphenyl (Anderson and Hites 1996). It was estimated that loss by hydroxy-lation in the atmosphere was a primary process for the removal of PCBs from the environment. It was later shown that the products were chlorinated benzoic acids produced by initial reaction with a hydroxyl radical at the 1-position followed by transannular dioxygenation at the 2- and 5-positions followed by ring fission (Brubaker and Hites 1998). Reactions of hydroxyl radicals with polychlorinated dibenzo[l,4]dioxins and dibenzofurans also play an important role for their removal from the atmosphere (Brubaker and Hites 1997). The gas phase and the particulate phase are in equilibrium, and the results show that gas-phase reactions with hydroxyl radicals are important for the... 

As pointed out previously, controlled degradation reactions are very difficult with aliphatic or alicyclic hydrocarbons, and most of the relabeling work has been concentrated on aromatic reaction products. Procedures have been extensively described by Pines and co-workers (e.g., 97, 96, also 87, 89-98, 95, 98). For the present purpose, it suffices to note that the 14C contents of the methyl side-chains and the rings in aromatic reaction products are readily estimated by oxidation of the methyl to carboxyl, followed by decarboxylation, while ethyl side-chains may be oxidatively degraded one carbon atom at a time. Radiochemical assays may be made on CO2 either directly in a gas counter, or after conversion to barium carbonate, while other solid degradation intermediates (e.g., benzoic acid or the phthalic acids) may be either assayed directly as solids or burned to CO2. Liquids are best assayed after burning to CO2. 

If we make the assumption that the reverse of reaction 15.5 is diffusion-controlled and assume that the activation enthalpy for the acyl radicals recombination is 8 kJ mol-1, the enthalpy of reaction 15.5 will be equal to (121 - 8) = 113 kJ mol-1. This conclusion helps us derive other useful data. Assuming that the thermal correction to 298.15 K is small and that the solvation enthalpies of the peroxide and the acyl radicals approximately cancel, we can accept that the enthalpy of reaction 15.5 in the gas phase is equal to 113 kJ mol-1 with an estimated uncertainty of, say, 15 kJ mol-1. Therefore, as the standard enthalpy of formation of gaseous PhC(0)00(0)CPh is available (-271.7 5.2 kJ mol-1 [59]), we can derive the standard enthalpy of formation of the acyl radical Af//°[PhC(0)0, g] -79 8 kJ mol-1. This value can finally be used, together with the standard enthalpy of formation of benzoic acid in the gas phase (-294.0 2.2 kJ mol-1 [59]), to obtain the O-H bond dissociation enthalpy in PhC(0)0H DH° [PhC(0)0-H] = 433 8 kJ mol-1. 

A significant contribution to the uncertainty interval assigned to the O-H bond dissociation enthalpy in benzoic acid comes from the estimate of the activation enthalpy for the radical recombination. The experimental determination of this quantity is not easy because diffusion-controlled recombination rate constants are very high (109 mol-1 dm3 s 1 or larger) [180]. Therefore, most thermochemical data derived from kinetic experiments in solution rely on some similar assumptions. 

The observed ambient organic aerosol formation rates are also consistent with those estimated by extrapolation of smog-chamber kinetic data. Other heavy unsaturates, such as styrene and indene, are present in the atmosphere and may contribute, in part, to the formation of benzoic acid and homophthalic acid, respectively. Diesel exhaust and industrial emission are possible sources of such heavy unsaturates. Diolefins of C6+ are not present in gasolines and exhaust gases and have not been found in the atmosphere, and their possible role as precursors of the Cs-7 difiinctional acidic compounds is seriously challenged. Lower diolefins are emitted in automobile exhaust. Examination of vapor-pressure data indicates that the bulk of their expected photooxidation products remains in the gas phase, including most of the less volatile C3-4 dicarboxylic acids. 

Soil. The major soil metabolite is 2,6-dichlorobenzamide which degrades to 2,6-dichloro-benzoic acid. The estimated half-lives ranged from 1 to 12 months (Hartley and Kidd, 1987). Under field conditions, dichlobenil persists from 2 to 12 months (Ashton and Monaco, 1991). The disappearance of dichlobenil from a hydrosol and pond water was primarily due to volatilization and biodegradation. The times required for 50 and 90% dissipation of the herbicide from a hydrosol were approximately 20 and 50 d, respectively (Rice et al., 1974). Dichlobenil has a high vapor pressure and volatilization should be an important process. Williams and Eagle (1979) found... 

The world demand of benzoic acid increases q>proximately 3-5% each year. In 1995 230 million pounds were consumed, and in 1996 235 million pounds were used. By 2000 the projected amount is estimated to be about 275 million pounds [7],... 

After exposure to atmospheres containing 300 and 600 ppm [1.30 and 2.60 g/m ] ethylbenzene for 6 h, Wistar rats excreted 83% and 59% of the estimated dose as ethylbenzene metabolites in the urine in 48 h, respectively. The principal metabolites were 1-phenylethanol, -hydroxyacetophenone and phenylacetic, mandelic, phenylglyoxylic and benzoic acids, accompanied by smaller amounts of 1-phenyl-1,2-ethanediol, phenylglyoxal, acetophenone and/ ara-hydroxyacetophenone (Engstrdm, 1984b). 

Estimate the Ki0Vi values at 25°C of the following compounds based on the experimental Ki0Vi values of the indicated structurally related compounds (a) benzoic acid dimethylaminoethyl ester from benzoic acid ethyl ester (log Kiaw = 2.64), (b) the insecticide methoxychlor from DDT (log Ki0Vi = 6.20), (c) the insecticide fenthion from parathion [log Kiow = 3.83, see 111. Ex. 7.2, Answer (d)], and (d) the hormone estradiol from testosterone [log Ki0Vi = 3.32, see 111. Ex. 7.2, Answer (e)]. 

Organic Sorbate-Inorganic Solid Surface Reactions Illustrative Example 11.7 Estimating the Adsorption of Benzoic Acid to Goethite... 

Estimate the goethite-water distribution coefficients from 10 mM NaCl aqueous solutions of benzoic acid (pKia = 4.1) at 50 nM at pHs 4, 5, and 6 to a synthetic iron oxyhydroxide, goethite, with the following properties (from Evanko and Dzombak, 1998) ... 

Explain the difference in the py (0.95 versus 0.75) and log kBH (X = Y = H -1.23 versus -0.22) values obtained for the two solvent systems. Make a guess of the magnitude of px in aqueous solution and estimate the hydrolysis half-life of 4-nitro benzoic acid 4-nitrophenyl ester (X = Y = 4-N02) in water at pH 8.0 and 25°C by assuming that only the base-catalyzed reaction is important. 

The effect of group (a) (non-polar solvents) was examined in the esterification of benzoic acid with 1-butanol over a Dowex-W X2 catalyst [454]. The solvent affected both the Helfferich distribution coefficients and the esterification rates. Dielectric constants, corresponding to the composition of the pore liquid, were estimated and the kinetic data related to the polar properties of the medium within the catalyst. In Fig. 18 are plotted specific rate coefficients versus the reciprocal value of dielectric constant of the pore liquid. The slope of the correlation is positive as for... 

Martin B. Neuworth The Kuhn-Roth method has a number of limitations. These were discussed by Brandenberger et al. (Anal. Chem. 33, 453 (1961)). The normal method for estimating C-methyl groups is based on a determination of total acidity calculated as acetic acid. Brandenberger has shown that other acids can be produced during the oxidation—e.g., benzoic acid, and these acids steam distil with the acetic acid. Therefore, when the classical Kuhn-Roth procedure is applied to a substance like coal, it would lead to methyl group values of questionable significance. 

Vogel, J. and Deshusses, J. 1965. Polarographic estimation of small amounts of benzoic acid The application of the method for the estimation of benzoic acid in normal milk and yoghurt. Mitt. Geb. Lebensmitt. Untersuch Hye. 56, 63-67. (Dairy Sci. Abstr. 27, 2944, 1965.)... 

Exercise 26-40 Explain why p for ionization of benzoic acids is larger than p for phenylethanoic acids. Estimate a value ofp for the ionization of substituted 4-phenyl-butanoic acids. Why should we expect the value of p for alkaline hydrolysis of ethyl benzoates to be larger than for acid ionization and to have the same sign ... 

Self-Test 10.13A Estimate the pH of 0.10 M KC6H5C02(aq), potassium benzoate. (The conjugate acid of the benzoate ion is benzoic acid, C6HsCOOH, Ka = 6.5 X 10 s.)... 

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