1000 resultados para Equações integrais não-lineares - Soluções numéricas
Resumo:
The data analyzed in this work were generated following the methodology developed by Molina et al.(J. Electroanal. Chem., 1979) for the calibration of a potentiometric system of measurement of hydrogen-ion concentrations resulting from neutralizations, at 25 ºC, of acidic or alkaline solutions at constant ionic strength (0.1 mol.l-1) held with NaClO4. The observed data present a serious deviation in relation to the mathematical model derived from the Nernst equation, for pH values ranging from 3 to 11, where pH=-log[H+]. We show that the minimization of the sum of the absolute values of the residuals gives estimates that are not influenced by outlying values.
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The chemical durability of the Li2O-ZrO2-BaO-SiO2 system was examined by determination of the Vickers hardness. The dependence of hardness and of the chemical resistance with BaO addition was investigated. The experimental results indicate that the hardness increases with the BaO content. The samples surface's morphology submitted to the chemical treatment in acidic (H2SO4) and basic (KOH) solution was accompanied by scanning electron microscopy. The chemical durability of the materials with BaO showed better than the glass ceramic without this content. These materials treated with H2SO4 solution showed a preferential attack to the silica rich sites.
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Organic compounds responsible for the color of wastewaters are usually refractory to biological digestion. In this paper the photo-assisted electrolysis process is used for color removal from three of the most colored wastewaters, which are daily generated in large amounts: the E1 bleach Kraft mill effluent, a textile reactive dye effluent and a landfill leachate. Electrolysis was carried out at 26,5 mA cm-2 in a flow reactor in which the anode surface was illuminated by a 400 W high pressure Hg bulb. In all experiments 70-75% of color reduction was observed which was also followed by a net organic load oxidation.
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The electrochemical behavior of paraquat on Pt, Au and carbon fiber ultramicroelectrodes were studied in laboratory samples by square wave voltammetry at high frequencies. The results showed two reversible peaks for paraquat reduction, in agreement to the literature data. The first peak was associated to the reduction of paraquat molecule in solution, with the further adsorption of the intermediate on the electrode surface. This adsorbed species undergoes to electroreduction in a reaction associated to the second voltammetric peak. The variation in pH and square wave parameters showed the best conditions to reduce paraquat as pH 5.0, frequency as high as 1000 s-1, scan increment of 2 mV and square wave amplitude of 50 mV. At such conditions, a variation of paraquat concentrations from 4.3 x 10-6 to 1.66 x 10-4 mol L-1 presented values for the detection limit equal to 3.9, 6.2 and 20.3 ppb on Pt, Au and carbon, respectively, at 1000 s-1. These values are quite below17 the allowed limit of paraquat in drinking water.
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Lapachol is a naphthoquinone found in several species of the Bignoniaceae family possessing mainly anticancer activity. The present work consists of the development and validation of analytical methodology for lapachol and its preparations. The results here obtained show that lapachol has a low quantification limit, that the analytical methodology is accurate, reproducible, robust and linear over the concentration range 0.5-100 µg/mL of lapachol.
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A laboratory procedure was devised to recover bromine from waste alkaline aqueous solutions used in the isotopic determination of N-15. The laboratory apparatus comprises two round bottom flasks (1 and 2 L), a dropping funnel, a gas bubbler, a gas regulator and glass fittings. The waste solution is acidified with sulfuric acid forming molecular bromine that is stripped out by a flow of nitrogen gas bubbled through the solution. This gas is then bubbled through a solution of lithium hydroxide generating lithium bromide and lithium hypobromite. The efficiency of bromine recovery was estimated to be 82±2%. This resulting solution was successfully reused in the isotopic determination of N-15. The procedure can recycle most of the bromine used in the laboratory saving resources and preserving the environment. The procedure can be adapted to recover bromine of other laboratory waste streams.
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The atomization behavior of Au, Ag, Bi, Cd, Pb, and Sn from pyrolitic graphite coating (L'vov platform) with the use Pd and Mg solutions, and zirconium coated platform with the analytes in nitric acid 0.2% v/v and in ethanol was investigated. In ethanol medium, the sensitivity gain was three-fold for Bi and Cd using Zr as modifier. Without modifier, the ethanol medium is appropriate only for Au and Cd. In nitric acid medium, the Zr coated platform elevates sensitivity at least two-fold for Bi and Cd. The method was applied to the determination of Ag, Au and Bi of certified steel samples, after on-line preconcentration, sorption on a minicolumn filled with C-18 bonded to silica gel and elution with ethanol. The concentrations obtained agreed with the recommended values.
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The present study consists in evaluating the NaX zeolite efficiency in removing Cu2+ from aqueous solutions, for future use of NaX in removing metals from wastewaters. The experiments were performed in batch systems (with shaking and continous stirring) and for different time intervals (1 to 24 h). Three particle sizes were employed: < 850 µm, 850 µm - 1 mm and 3 mm. It has been concluded that it is possible to employ the NaX zeolite for metal removal and the particle size plays an important role in the adsorption process. Specifically, NaX zeolites of smaller particle size achieved the maximum adsorption capacity of 152.36 mg of Cu2+/g of zeolite at pH = 4.5.
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This paper summarizes the result of a degradation test of two azo-reactive dyes (Reactive Blue 214, Reactive Red 243) under UV irradiation in the presence of H2O2. Five different doses of hydrogen peroxide (0 mM, 5 mM, 10 mM, 20 mM and 30 mM) at constant initial concentration of the substrate (100 mg/L) were used. The radiation source were three 15 W-lamps. Complete destruction of the color of the solutions was attained in 40-50 min of irradiation. UV/H2O2 proved capable of complete discoloration and degradation of the above azo reactive dyes.
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A protein presents a native (N) macro state, which is functionally active, in equilibrium with the denatured (D) macro state, which is devoid of biological activity. An ensemble of microstates forms each macrostate. The denatured state comprises a greater ensemble of microstates than the native macrostate. The N-D equilibrium can be affected by several factors, that comprise the purity of the water, temperature, pH and solute concentration. This work discusses the influence of osmolytes and chaotropics on the N-D equilibrium in aqueous solutions.
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The hydrated sodium salt of EDTA, Na2H2Y·2H2O, cannot be used as a primary standard for titrations due to uncertainties in the water content. An alkalimetric titration of the homogenized solid in the presence of a small excess of BaCl2·2H2O allows one to titrate quantitatively the released two hydrogen cations with end-point indication by phenolphthalein or potentiometry. This leads one to calculate the average molar mass of the reagent and its water content, allowing to use it to prepare EDTA standard solutions. One titrated sample led to the formula Na2H2Y·1.876 H2O, and 370.01 g.mol-1 for the average molar mass.
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Cleaning solutions containing EDTA are widely employed to remove incrustation despite of the costs involved. The free content of EDTA in commercial solutions may be determined by mixing an aliquot to ammonium oxalate and using a standard calcium solution as titrant. The end-point is detected by the formation of insoluble calcium oxalate after all EDTA is complexed. A system for turbidimetric detection of the end-point was envisaged to substitute the visual detection, which impaired the analyses of dark samples. The proposed method was tested with real samples and good accuracy and precision was obtained.
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Silica gel was chemically modified with the aromatic amines p-anisidine, p-phenytidine and p-phenylenediamine, using grafting reactions. The resulting modified silicas were characterized by infrared spectroscopy and N2 adsorption/desorption isotherms. The organic groups were covalently immobilized in a monolayer form. These modified silicas were investigated as adsorbents for Pb2+, Cu2+, Cd2+ and Ni2+ in aqueous and ethanol solutions. In a general way, the adsorption capacity values for all adsorbents presented the following sequence: Pb2+ >> Cu2+ @Cd2+ @ Ni2+. Adsorption studies for all adsorbents, in competitive medium, showed better selectivity for Cu2+ and Pb2+ in aqueous medium and for Pb2+ in ethanol solution. Desorption studies were carried out using HCl and HNO3 as eluents.
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The paper presents an introductory and general discussion on the quantum Monte Carlo methods, some fundamental algorithms, concepts and applicability. In order to introduce the quantum Monte Carlo method, preliminary concepts associated with Monte Carlo techniques are discussed.
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Mathematics has formed part of all our daily lives since the most remote origins of our civilization, although on too many occasions schools have done little for this functional view of mathematics reclaiming the formal role of this discipline in detriment of its more practical and applied element. From this perspective the curriculum organized by competence arises due to the need to fill this vacuum and allow our students to function better in the constant elements of real situations which they are going to have to resolve throughout their lives. The specifying of this general view of mathematic competence in the numeric competence should allow all our students to progressively acquire numeric sense, that is, that they have the capacity to apply good quantitative ideas in real situations