Ionic Equilibria and pH

2021 ◽  
pp. 276-312
Author(s):  
Christopher O. Oriakhi

Ionic Equilibria and pH reviews the quantitative aspects of aqueous acid-base chemistry. Definitions and concepts are presented and appropriate worked examples illustrate calculations of concentration, pH and ionization constants. Acid-base properties of salts (salt hydrolysis) is introduced and explained along with the common-ion effect and calculation of hydrolysis constants. Equilibria of acid-base buffers with respect to buffer preparation, calculating the pH of a buffer solution and application of the Henderson-Hasselbalch equation, buffer range and buffer capacity is discussed. Determining the pH during acid-base titrations, selecting the appropriate acid-base indicators, and generating pH titration curves are explained.

1963 ◽  
Vol 16 (5) ◽  
pp. 759 ◽  
Author(s):  
RH Stokes

General equations are derived for the relation between pH and stoichiometric degree of neutralization in the titration of monoprotic and diprotic weak acids (or bases) with strong acid or strong base. From these equations the number and position of inflexion points in the curves is derived, and their relation to the equivalence points is shown. Methods for determining ionization constants from inflexion points are discussed.


2019 ◽  
Author(s):  
Jonas Landsgesell ◽  
Oleg Rud ◽  
Pascal Hebbeker ◽  
Raju Lunkad ◽  
Peter Košovan ◽  
...  

We introduce the grand-reaction method for coarse-grained simulations of acid-base equilibria in a system coupled to a reservoir at a given pH and concentration of added salt. It can be viewed as an extension of the constant-pH method and the reaction ensemble, combining explicit simulations of reactions within the system, and grand-canonical exchange of particles with the reservoir. Unlike the previously introduced methods, the grand-reaction method is applicable to acid-base equilibria in the whole pH range because it avoids known artifacts. However, the method is more general, and can be used for simulations of any reactive system coupled to a reservoir of a known composition. To demonstrate the advantages of the grand-reaction method, we simulated a model system: A solution of weak polyelectrolytes in equilibrium with a buffer solution. By carefully accounting for the exchange of all constituents, the method ensures that all chemical potentials are equal in the system and in the multi-component reservoir. Thus, the grand-reaction method is able to predict non-monotonic swelling of weak polyelectrolytes as a function of pH, that has been known from mean-field predictions and from experiments but has never been observed in coarse-grained simulations. Finally, we outline possible extensions and further generalizations of the method, and provide a set of guidelines to enable safe usage of the method by a broad community of users.<br><br>


Author(s):  
A. L. Lebedev ◽  
I. V. Avilina

Experimental study of kinetics of dissolution of hypso anhydrites at 25 ᵒC made it possible to formulate model of the process in the form of a balance equation for the kinetics of dissolution of gypsum, anhydrite (first and second orders, respectively) and kinetics of precipitation of gypsum (second order). The processing of the experimental data were carried out on the basis of the solution of the Riccati equation. When taking into account the common-ion effect on the solubility of gypsum and anhydrite, the calculated values turned out to be more comparable with the experimental ones.


1994 ◽  
Vol 71 (8) ◽  
pp. 632 ◽  
Author(s):  
Tadeusz Michalowski ◽  
Andrzej Lesiak

1997 ◽  
Vol 83 (1) ◽  
pp. 297-311 ◽  
Author(s):  
Peter D. Constable

Constable, Peter D. A simplified strong ion model for acid-base equilibria: application to horse plasma. J. Appl. Physiol. 83(1): 297–311, 1997.—The Henderson-Hasselbalch equation and Stewart’s strong ion model are currently used to describe mammalian acid-base equilibria. Anomalies exist when the Henderson-Hasselbalch equation is applied to plasma, whereas the strong ion model does not provide a practical method for determining the total plasma concentration of nonvolatile weak acids ([Atot]) and the effective dissociation constant for plasma weak acids ( K a). A simplified strong ion model, which was developed from the assumption that plasma ions act as strong ions, volatile buffer ions ([Formula: see text]), or nonvolatile buffer ions, indicates that plasma pH is determined by five independent variables:[Formula: see text], strong ion difference, concentration of individual nonvolatile plasma buffers (albumin, globulin, and phosphate), ionic strength, and temperature. The simplified strong ion model conveys on a fundamental level the mechanism for change in acid-base status, explains many of the anomalies when the Henderson-Hasselbalch equation is applied to plasma, is conceptually and algebraically simpler than Stewart’s strong ion model, and provides a practical in vitro method for determining [Atot] and K a of plasma. Application of the simplified strong ion model to CO2-tonometered horse plasma produced values for [Atot] (15.0 ± 3.1 meq/l) and K a(2.22 ± 0.32 × 10−7 eq/l) that were significantly different from the values commonly assumed for human plasma ([Atot] = 20.0 meq/l, K a = 3.0 × 10−7 eq/l). Moreover, application of the experimentally determined values for [Atot] and K a to published data for the horse (known [Formula: see text], strong ion difference, and plasma protein concentration) predicted plasma pH more accurately than the values for [Atot] and K a commonly assumed for human plasma. Species-specific values for [Atot] and K a should be experimentally determined when the simplified strong ion model (or strong ion model) is used to describe acid-base equilibria.


2008 ◽  
Vol 68 (1) ◽  
pp. 242-247 ◽  
Author(s):  
Pavel Janoš ◽  
Sylvie Kříženecká ◽  
Libuše Madronová

2011 ◽  
Vol 64 (2) ◽  
pp. 206 ◽  
Author(s):  
Hong Luo ◽  
Zhi-Ping Wang ◽  
An-Guo Zhang ◽  
Ke-Zhi Wang

2-(5-Phenylthiophen-2-yl)-1H-imidazo[4,5-f][1,10]phenanthroline (Hptip) and its RuII complex [Ru(bpy)2(Hptip)](PF6)2 (where bpy = 2,2′-bipyridine) have been synthesized and characterized by elemental analysis, 1H NMR spectroscopy, and mass spectrometry. The acid–base properties of the complex were studied by UV-visible and luminescence spectrophotometric pH titrations, and ground- and excited-state acidity ionization constants were derived. The DNA-binding properties of [Ru(bpy)2(Hptip)](PF6)2 were also investigated by means of UV-vis and emission spectroscopy, salt effects, steady-state emission quenching by [Fe(CN)6]4–, DNA competitive binding with ethidium bromide, DNA melting experiments, and viscosity measurements. Density functional theoretical calculations were also carried out in order to understand the DNA binding properties.


1993 ◽  
Vol 180 (1) ◽  
pp. 311-314 ◽  
Author(s):  
E. K. Stabenau ◽  
T. A. Heming

Hydration of CO2 yields HCO3- via the reaction: CO2 + H2O = H2CO3 = HCO3- + H+ = CO32- + 2H+. (1) Acid-base physiologists traditionally simplify the reaction by omitting the H2CO3 term and lumping all ionic CO2 species into the HCO3- term. The simplified reaction forms the basis for the familiar Henderson-Hasselbalch equation of the CO2-HCO3- buffer system: pH = pKa + log([HCO3-]/(alpha)CO2PCO2), (2) where (alpha)CO2 is the solubility coefficient relating [CO2] and PCO2 (Henry's Law). The apparent pK (pKa) in this equation lacks a rigorous thermodynamic definition. Instead, it is an empirical factor relating pH, the product of (alpha)CO2 and PCO2, and the apparent [HCO3-] (i.e. the sum of all ionic CO2 species). (alpha)CO2 and pKa are sensitive to the temperature, pH and/or the ionic strength of the reaction medium. (alpha)CO2 and pKa of normal mammalian blood plasma have been well defined over a range of temperatures and pH values (e.g. Severinghaus, 1965; Siggaard-Andersen, 1974; Reeves, 1976). These mammalian values are commonly used in analyses of the acid-base status of non- mammalian species, despite evidence that such practices can produce misleading results (Nicol et al. 1983). As an alternative, Heisler (1984; erratum in Heisler, 1986) developed complex equations for (alpha)CO2 (mmol l-1 mmHg-1) (1 mmHg=133.22 Pa) and pKa that are purported to be generally applicable to aqueous solutions (including body fluids) between 0 and 40 °C and incorporate the molarity of dissolved species (Md), solution pH, temperature (T, °C), sodium concentration ([Na+], mol l-1), ionic strength of nonprotein ions (I, mol l-1) and protein concentration ([Pr], g l-1): (alpha)CO2 = 0.1008 - 2.980 × 10–2Md + (1.218 × 10-3Md - 3.639 × 10-3)T - (1.957 × 10-5Md - 6.959 × 10-5)T2 + (7.171 × 10-8Md - 5.596 × 10-7)T3. (3) pKa = 6.583 - 1.341 × 10-2T + 2.282 × 10-4T2 - 1.516 × 10-6T3 - 0.341I0.323 - log{1 + 3.9 × 10-4[Pr] + 10A(1 + 10B)}, (4) where A = pH - 10.64 + 0.011T + 0.737I0.323 and B = 1.92 - 0.01T - 0.737I0.323 + log[Na+] + (0.651 - 0.494I)(1 + 0.0065[Pr]). Experimental validation of these equations has not appeared in the literature to date. We determined the (alpha)CO2 and pKa of blood plasma from Kemp's ridley sea turtles (Lepidochelys kempi Garman) and compared the values with those predicted from Heisler's equations. Blood samples were collected into heparinized syringes from the dorsal cervical sinus of 1- to 2-year- old animals at the National Marine Fisheries Service, Galveston Laboratory, Texas. Separated plasma was obtained by centrifugation of the whole blood samples. (alpha)CO2 was determined gasometrically by equilibrating 2 ml samples of acidified plasma (titrated to pH 2.5 with 1 mol l-1 HCl) in a tonometer with 99.9 % CO2 at 20, 25, 30 or 35 °C. Fresh samples of plasma were used at each temperature. The total CO2 content (CCO2) of plasma was measured in duplicate after 15 min of equilibration, using the methods described by Cameron (1971). The CO2 electrode (Radiometer, type E5036) was calibrated at each temperature using known [HCO3-]. Plasma PCO2 was calculated from the known fractional CO2 content of the equilibration gas, corrected for temperature, barometric pressure and water vapor pressure. Plasma water content was measured by weighing samples of plasma before and after they had been dried at 60 °C to constant weight. (alpha)CO2 was calculated as The quotient of CCO2 and PCO2, taking into account the plasma water content (mean +/− s.e.= 96+/−0.03 %). pKa was determined gasometrically by equilibrating 2 ml samples of plasma in a tonometer with 4.78 or 10.2 % CO2 (balance N2) at 20 or 30 °C. Fresh samples of plasma were used at each temperature and gas concentration. Plasma CCO2 and pH were measured in duplicate. The pH electrode (Radiometer, type G297/G2) was calibrated at each temperature using precision Radiometer pH buffers (S1500 and S1510). Plasma PCO2 was determined as above. pKa was calculated from a rearrangement of the Henderson-Hasselbalch equation (equation 2), assuming CCO2 to be the sum of [HCO3-] and [CO2] (i.e. (alpha)CO2PCO2). Heisler's equations were adapted for use with L. kempi plasma using measured values of the molarity of dissolved species (Md), [Na+] and protein concentration ([Pr]). These parameters were quantified as follows: Md with a vapor pressure osmometer (Precision Systems, model 5004), [Na+] by flame photometry (Jenway, model PFP7) and [Pr] by a standard spectrophotometric method (Sigma kit 541). The average values were Md=0.304+/−0.003 mol l-1, [Na+]=0.141+/−0.004 mol l-1 and [Pr]=28+/−3 g l- 1. The ionic strength of nonprotein ions (I) was assigned a value of 0.150 mol l-1. Computed (alpha)CO2 and pKa values were generated for a wider range of temperature and pH conditions than were used experimentally in order to emphasize the pattern and range of effects of temperature and/or pH.


2019 ◽  
Vol 21 (18) ◽  
pp. 9212-9217 ◽  
Author(s):  
Vaishali Arunachalam ◽  
Anil Kumar Tummanapelli ◽  
Sukumaran Vasudevan

Dissociation constants calculated from ab initio MD simulations can aid the interpretation of the pH-titration curves of complex systems.


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