Thermodynamics of silver—silver halide electrodes and thermodynamic solubility products of silver halides in glycerol + water mixtures at different temperatures

The standard potentials of silver—silver bromide and silver—silver iodide electrodes in glycerol+water mixtures containing 5, 10, 20 and 30 wt% glycerol were determined from electromotive force measurements of the cell Ag(s), AgX(s), KX(c)//KCl(c), AgCl(s), Ag(s), where X is Br or I, at seven different temperatures in the range 5–35°C. The standard potentials in each solvent are represented as a function of temperature. The standard thermodynamic functions for the electrode reactions, the primary medium effects of various solvents upon X⁻, and the standard thermodynamic quantities for the transfer of 1 g-ion of X⁻ from water to the respective glycerol + water media are evaluated and discussed in the light of ion—solvent interactions as well as the structural changes of the solvents. From the values of the Ag/Ag⁺ and Ag/AgX, X⁻ electrodes, the thermodynamic solubility product constants of silver chloride, silver bromide and silver iodide have been determined in glycerol + water solvent mixtures at different temperatures.     

Thermodynamic properties of the silver ion in alcohol + water solvent mixtures from electromotive force measurements and thermodynamic solubility product constants of AgX (X = Cl,Br, I or CNS) at different temperatures

The standard potentials of the silver-silver ion electrode in alcohol+water solvent mixtures containing 10 and 20 wt% methanol, ethanol, 1-propanol and 2-propanol have been determined from the electromotive force measurements of the cell Ag(s), AgCl(s), NaCl(c), NaNO₃(c)// NaNO₃(c), AgNO₃(c), Ag(s) at seven different temperatures in the range 5–35°C. The standard potentials in each solvent have been represented as a function of temperature. The standard thermodynamic functions for the electrode reaction, the primary medium effects of various solvents upon Ag⁺, and the standard thermodynamic quantities for the transfer of 1 g-ion of Ag⁺ from water to the respective alcohol + water media have been evaluated and discussed in the light of ion-solvent interactions as well as the structural changes of the solvents. From the values of the standard potentials of the Ag/Ag⁺ and Ag/AgX, X^? electrodes, the thermodynamic solubility product constants of silver chloride, silver bromide, silver iodide and silver thiocyanate have been determined in alcohol + water solvent mixtures at different temperatures.     

Électrochimie dans l'oxydipropionitrile: Comportement électrochimique du solvant. Stabilité des complexes argent(I) halogénures. Solvatation des anions

Electrochemical possibilities of oxydipropionitrile have been shown. The system Ag(s)/Ag⁺ has been used to make a reference electrode in this medium. The electroactivity range which depends on the electrolyte and the kind of electrode used has been specified. At a platinum electrode, in LiClO₄ medium, the electroactivity range is very large. At a mercury electrode, water does not interfere but at a platinum electrode it is oxidizable; the electroactivity range depends on its concentration. The second part treats the complexes with silver ion and halides. Stability constants of complexes and solubility products have been obtained from potentiometric titration curves. The determination of the transfer parameters for ionic species is based on the Strehlow assumption that the potential of the ferrocene/ferricinium couple is constant in all solvents. The results show that the silver ion is more strongly solvated in oxydipropionitrile than in water; on the other hand halide ions are little solvated in this solvent.     

Solvent effect on standard electrode potential: Part IV. Silver-silver chloride electrode in glycerol-water mixtures

Standard potentials of the silver-silver chloride electrode in eighteen glycerol-water mixtures containing up to 90% by weight glycerol, have been determined from e.m.f. measurements of cells of the type Pt, H₂ (gas, 1 atm); HCl (m), X% glycerol, Y% water; AgCl, Ag, at nine different temperatures in the range 15 to 55°C. The standard molal potential in the various solvent mixtures has been expressed as a function of temperature. Standard thermodynamic quantities for cell reaction and the primary medium effects of various solvents upon HCl were also calculated. The temperature variation of the standard potential was utilized to calculate the thermodynamic quantities for the transfer of one mole of HCl from water to glycerol-water media. The results have been interpreted in regard to the acid-base properties and the structure of the solvent.     

Heterocyclic hydroxamic acids. V. Thermodynamics of the interaction of some bivalent metal ions with N-phenyl-2-furohydroxamic acid and its analogues

In recent years, considerable effort has been devoted to physico-chemical studies in non-aqueous and mixed solvents. Most of these have been concerned with solutions in mixed solvents with a view to explaining the effect of a changing solvent composition of the ion—solvent and electrode—solvent interactions. Several workers [1–6] have presented studies of electrode—solvent interactions in water—dioxane, water—glycol, water—alcohols and water—urea mixtures of various compositions, and have reported the role of the permittivity of the medium towards such interactions.In previous studies [3,7–9], we have examined the effect of changing the solvent from pure water to 10, 20, 30 and 40 mass % dioxane + water on the dissociation of acids, dissolution of silver salts and standard potentials of the silver—silver chromate electrode. To extend the work, we now report the results of a determination of the standard potentials of the silver—silver thiocyanate electrode and associated thermodynamic parameters for the electrode reaction in these media. However, various thermodynamic quantities for the electrode reaction of this electrode and the dissolution process of silver thiocyanate are known in water [10] and formamide [11].     

Thermodynamic studies of hydriodic acid in ethylene glycol-water mixtures from electromotive force measurements

The standard potentials of the Ag—AgI electrode in twenty ethylene glycol—water mixtures covering the whole range of solvent composition have been determined from the e.m.f. measurements of the cell Pt¦H₂(g, 1 atm)¦HOAc (m ₁), NaOAc (m ₂), KI(m ₃), solvent¦AgI¦Ag at nine different temperatures ranging from 15 to 55°C. The temperature variation of the standard e.m.f. has been utilized to compute the standard thermodynamic functions for the cell reaction, the primary medium effects of various solvents upon HI, and the standard thermodynamic quantities for the transfer of HI from the standard state in water to the standard states in the respective solvent media. The chemical effects of solvents on the transfer process have been obtained by subtracting the electrostatic contributions from the total transfer quantities. The results have been discussed in the light of ion—solvent interactions as well as the structural changes of the solvents.     

Solvent effect on standard electrode potential: Part V. Silver-silver chloride electrode in tert-butyl alcohol + water mixtures

The electromotive force measurements of the cell Pt, H₂ (gas, 1 atm); HCl (m), X % Bu ^tOH, Y% H₂O; AgCl, Ag, at nine different temperatures ranging from 15 to 55°C at 5° intervals, have been used to determine the standard potentials of the silver-silver chloride electrode in eighteen tert-butyl alcohol+water solvent mixtures containing up to 90 wt. % alcohol. The standard molal potentials in each solvent have been represented as a function of temperature. The standard thermodynamic functions for the cell reaction, the primary medium effects of various solvents upon HCl, and the standard thermodynamic quantities for the transfer of one mole of HCl from water to tert-butyl alcohol+water media have been evaluated. The results have been discussed in the light of ion-solvent interactions as well as the structural changes of the solvents.     

Standard potentials of the silver,silver bromide electrode and the thermodynamic properties of hydrobromic acid in 1,2-dimethoxyethane and its aqueous mixtures

The standard potentials of the silver, silver bromide electrode have been determined in 1,2-dimethoxyethane (DME) and in nineteenDME + water solvents from the e.m.f. measurements of cells of the type Pt|H₂(g, 1 atm)|HBr (m), solvent|AgBr|Ag at intervals of 5°C from 5 to 45°C. The molality of HBr covered the range from 0.01 to 0.1 mol kg^–1. In solvents of highDME content, where the dielectric constant is small, it was necessary to correct for ion-pair formation. The temperature variation of the standard potential has been used to evaluate the standard thermodynamic functions for the cell reaction, and the standard quantities for the transfer of HBr from water to the respective solvents. The results have been discussed both in relation to the acid-base nature of the solvent mixtures and also their structural effects on the transfer process.

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Standardpotentiale der Silber, Silberbromid-Elektrode und thermodynamische Eigenschaften von H Br in 1,2-Dimethoxyethan und 1,2-Dimethoxyethan—Wasser-Mischungen

Zusammenfassung Die Standardpotentiale der Silber, Silberbromid-Elektrode wurden in 1,2-Dimethoxyethan (DME) und in 19 verschiedenenDME—Wasser-Gemischen aus EMK-Messungen der Zelle Pt|H₂(g,1 atm)|HBr (m), Lsgsm.|AgBr|Ag in Temperaturintervallen von 5°C zwischen 5 und 45°C bestimmt. Die Molalität von HBr deckte den Bereich von 0,01 bis 0,1 mol kg^–1. Bei Lösungen mit höheremDME-Gehalt — und damit niedrigen Dielektrizitätskonstanten —war es nötig, für die Bildung von Ionenpaaren eine Korrektur einzuführen. Über die Temperaturvariation wurden die thermodynamischen Größen für die Zellenreaktion und die Standardgrößen für den Transfer von HBr aus Wasser in das jeweilige Lösungsmittel bestimmt. Die Ergebnisse werden sowohl im Zusammenhang zur Säure-Base-Natur de Lösungsmittelmischungen als auch in bezug auf strukturelle Effekte im Transferprozeß diskutiert.

     

Standard potentials of silver-silver bromide electrode and related thermodynamic quantities in (5, 10 and 15 wt-%) 2-butanol-water mixtures

The standard potentials of silver-silver bromide electrode in 5, 10 and 15 wt.-% 2-butanol have been determined from e.m.f. measurements of a cell of the type: Pt(or Pd), H₂(g)|HBr(m), 2-butanol-water mixtures| AgBr, Ag at temperatures 15°, 25° and 35°C and in the molality range of HBr from 0.003 to 0.1 mol kg^?1. Standard potentials were utilized to calculate: (1) the standard thermodynamic quantities for the cell reaction and for the reaction of HBr formation, (2) the mean activity coefficients of HBr, and (3) the standard thermodynamic quantities for transfer of HBr from water to 2-butanol-water mixtures. The thermodynamic functions for the transfer process have been interpreted in regard to the acid-base properties and structure of the solvents.     

Thermodynamics of hydrochloric acid in (1-propanol+water) from electromotive-force measurements

The standard electromotive force of the cell: PtH₂(g)|HCl(m) in solvent |AgCl|Ag has been determined at 9 different temperatures ranging from 288.15 to 328.15 K in 20 (propan-1-ol+water) mixtures covering the whole range of solvent composition, by an extrapolation method making use of the extended terms of the Debye-Hückel theory. In solvents of high alcohol content, where the dielectric constant is small, it was necessary to correct for ion-pair formation. The temperature variation of the standard e.m.f. was used to calculate the standard thermodynamic functions for the cell reaction, the primary medium effects of various solvents upon HCl, and the standard quantities for the transfer of HCl from the standard state in water to the standard states in each other solvent. The significance of the transfer functions is discussed in relation to the acid-base strength, as well as the structural features of the solvents.     

Coordination chemistry of the solvated AgI and AuI ions in liquid and aqueous ammonia, trialkyl and triphenyl phosphite, and tri-n-butylphosphine solutions

The coordination chemistry of solvated Ag(I) and Au(I) ions has been studied in some of the most strong electron-pair donor solvents, liquid and aqueous ammonia, and the P donor solvents triethyl, tri-n-butyl, and triphenyl phosphite and tri-n-butylphosphine. The solvated Ag(I) ions have been characterized in solution by means of extended X-ray absorption fine structure (EXAFS), Raman, and (107)Ag NMR spectroscopy and the solid solvates by means of thermogravimetry and EXAFS and Raman spectroscopy. The Ag(I) ion is two- and three-coordinated in aqueous and liquid ammonia solutions with mean Ag-N bond distances of 2.15(1) and 2.26(1) A, respectively. The crystal structure of [Ag(NH3)3]ClO4.0.47 NH3 (1) reveals a regular trigonal-coplanar coordination around the Ag(I) ion with Ag-N bond distances of 2.263(6) A and a Ag...Ag distance of 3.278(2) A separating the complexes. The decomposition products of 1 have been analyzed, and one of them, [Ag(NH3)2]ClO4, has been structurally characterized by means of EXAFS, showing [Ag(NH3)2] units connected into chains by double O bridges from perchlorate ions; the Ag...Ag distance is 3.01(1) A. The linear bisamminegold(I) complex, [Au(NH3)2]+, is predominant in both liquid and aqueous ammonia solutions, as well as in solid [Au(NH3)2]BF4, with Au-N bond distances of 2.022(5), 2.025(5), and 2.026(7) A, respectively. The solvated Ag(I) ions are three-coordinated, most probably in triangular fashion, in the P donor solvents with mean Ag-P bond distances of 2.48-2.53 A. The Au(I) ions are three-coordinated in triethyl phosphite and tri-n-butylphosphine solutions with mean Au-P bond distances of 2.37(1) and 2.40(1) A, respectively.     

Thermodynamics of individual ions in ethylene glycol-water solvents

A new equation, correlating the cell (or electrode) potential with the dielectric constant of the solvent, has been developed and used to compute the chemical contribution to the transfer thermodynamic quantities of individual ions in various solvents. The results show that the electrostatic contribution to the transfer free energies should in fact account for all the interactions between the charge on the ion and the overall charge on the solvent molecules, of which the Born contribution plays but a minor role. The thermodynamic properties of individual ions have been discussed in the light of ion-solvent interactions as well as the structural effects of the solvents on the transfer process.     

On the correlations between empirical lewis acid-base solvent parameters and the thermodynamic parameters of ion solvation

Assuming a straight-line dependence of the chemical potential of anions (cations) on empirical Lewis acid (base) parameters of solvents, the values of the change of the chemical potential of ions and the change of the surface potential between water and non-aqueous solvents have been calculated and briefly discussed. On the basis of the results obtained and literature data the dependence of the standard emf of the cell Pt,H₂ |HCl|AgCl|Ag|Pt′ on the function of empirical Lewis acid-base parameters has been analysed and discussed.     

Single-ion solvation free energies and the normal hydrogen electrode potential in methanol, acetonitrile, and dimethyl sulfoxide

The division of thermodynamic solvation free energies of electrolytes into contributions from individual ionic constituents is conventionally accomplished by using the single-ion solvation free energy of one reference ion, conventionally the proton, to set the single-ion scales. Thus, the determination of the free energy of solvation of the proton in various solvents is a fundamental issue of central importance in solution chemistry. In the present article, relative solvation free energies of ions and ion-solvent clusters in methanol, acetonitrile, and dimethyl sulfoxide (DMSO) have been determined using a combination of experimental and theoretical gas-phase free energies of formation, solution-phase reduction potentials and acid dissociation constants, and gas-phase clustering free energies. Applying the cluster pair approximation to differences between these relative solvation free energies leads to values of -263.5, -260.2, and -273.3 kcal/mol for the absolute solvation free energy of the proton in methanol, acetonitrile, and DMSO, respectively. The final absolute proton solvation free energies are used to assign absolute values for the normal hydrogen electrode potential and the solvation free energies of other single ions in the solvents mentioned above.     

The ionic work function and its role in estimating absolute electrode potentials

The experimental determination of the ionic work function is briefly described. Data for the proton, alkali metal ions, and halide ions in water, originally published by Randles (Randles, J. E. B. Trans Faraday Soc. 1956, 52, 1573) are recalculated on the basis of up-to-date thermodynamic tables. These calculations are extended to data for the same ions in four nonaqueous solvents, namely, methanol, ethanol, acetonitrile, and dimethyl sulfoxide. The ionic work function data are compared with estimates of the absolute Gibbs energy of solvation obtained by an extrathermodynamic route for the same ions. The work function data for the proton are used to estimate the absolute potential of the standard hydrogen electrode in each solvent. The results obtained here are compared with those published earlier by Trasatti (Trasatti, S. Electrochim. Acta 1987, 32, 843) and more recently by Kelly et al. (Kelly, C. P.; Cramer, C. J.; Truhlar, D. G. J. Phys. Chem. B 2006, 110, 16066. Kelly, C. P.; Cramer, C. J.; Truhlar, D. G. J. Phys. Chem. B 2007, 111, 408). A comparison of the ionic work function with the absolute Gibbs solvation energy permits an estimation of the surface potential of the solvent. The results show that the surface potential of water is small and positive whereas the surface potential of the nonaqueous solvents considered is negative. The sign of the surface potential is consistent with the known structure of each solvent.     

Thermodynamic Characteristics of Resolvation of Bromide Ions in Water–Dimethyl Sulfoxide Mixtures

Real and chemical thermodynamic characteristics of resolvation of bromide ions in water–dimethyl sulfoxide mixtures and a surface potential of dimethyl sulfoxide are presented and analyzed. The data are obtained by the method of Volta potential differences. The real thermodynamic characteristics of the bromide ion transport are positive (as those of the chloride ion studied earlier). This is due to structural rearrangement of the surface layer at the solution/gas interface when passing from water to water–organic substance mixtures. According to an analysis of the chemical energy of the bromide ion resolvation, anions that are capable of forming hydrogen bonds with proton-donor solvents are weakly solvated in aprotic solvents.     

Thermodynamics of the silver—silver thiocyanate electrode in urea—water mixtures

E.m.f. measurements on cells of the type Ag(s), AgCNS(s), KCNS(c)//KCl(c), AgCl(s), Ag(s) in four different composition of urea—water mixtures at seven different temperatures from 5 to 35°C have been made to determine the standard potentials of the silver—silver thiocyanate electrode in these media. These values have been used to evaluate the transfer thermodynamic quantities accompanying the transfer of 1 g ion of CNS^? ion from the standard state in water to the standard state in urea—water mixtures.     

Thermodynamic Foundation for High Temperature Electrochemistry

Thermodynamic concepts required for the thermodynamic calculation of the potentials of electrodes for high temperature applications are briefly reviewed. A thermodynamic approach to the calculation of half cell potentials and the standard chemical potential of an electron at high temperatures which are related to the Standard Hydrogen Electrode(SHE) is discussed. As examples, an external Ag/AgCl reference electrode and a YSZ(Ag|O2) pH sensor for high temperature applications are analyzed by using the thermodynamic ap-proach to derive a high temperature pH measurement equation. The two electrodes are employed to measure high temperature pH and the measured pH was compared with the calculated pH by using a solution chem-istry method. Concepts and principles for electrode kinetics are also briefly introduced and a modification to the Tafel equations is suggested.     

A new access to Gibbs energies of transfer of ions across liquid|liquid interfaces and a new method to study electrochemical processes at well-defined three-phase junctions

Droplets of polar and nonpolar aprotic solvents containing dissolved electroactive species can be easily attached to paraffin-impregnated graphite electrodes. When the electrode with the attached droplet is introduced into an aqueous electrolyte solution, the electrochemical reactions of the dissolved species can be elegantly studied. Provided the droplet does not contain a dissolved electrolyte, the electrochemical reaction will be confined to the very edge of the three-phase junction droplet|graphite|aqueous electrolyte. When a neutral species is oxidised, two pathways are possible: the oxidised species can remain in the droplet and anions will be transferred from the aqueous solution to the organic solvent, or the oxidised species may leave the droplet and enter the aqueous solution. Depending on the nature of the dissolved species, the nature of the organic solvent, the presence or absence of appropriate anions and cations in the two liquid phases, very different reaction pathways are possible. The new approach allows studies of ion transfer between immiscible solvents to be performed with a three-electrode potentiostat. Electrochemical determinations of the Gibbs energy of ion transfer between aqueous and nonpolar nonaqueous liquids are possible, whereas conventional ion transfer studies require the presence of a dissociated electrolyte in the organic phase. The new method considerably widens the spectrum of accessible ions.     

Meaning and Measurability of Single‐Ion Activities,the Thermodynamic Foundations of pH,and the Gibbs Free Energy for the Transfer of Ions between Dissimilar Materials

Considering the relationship between concentration and vapor pressure (or the relationship between concentration and fugacity) single‐ion activity coefficients are definable in purely thermodynamic terms. The measurement process involves measuring a contact potential between a solution and an external electrode. Contact potentials are measurable by using thermodynamically reversible processes. Extrapolation of an equation to zero concentration and ionic strength enables determination of single‐ion activity coefficients. Single‐ion activities can be defined and measured without using any extra‐thermodynamic assumptions, concepts, or measurements. This method could serve as a gold standard for the validation of extra‐thermodynamic methods for determining single‐ion activities. Furthermore, it places the concept of pH on a thermodynamically solid foundation. Contact potential measurements can also be used to determine the Gibbs free energy for the transfer of ions between dissimilar materials.