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  • Pitzer equations  (4)
  • activity coefficient  (4)
  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 4 (1975), S. 431-440 
    ISSN: 1572-8927
    Keywords: Ammonium bromide ; hydrobromic acid ; activity coefficient ; Harned's rule ; mixtures of electrolytes ; total molality
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Activity coefficients for HBr in HBr−NH4Br−H2O at 25°C have been measured at constant total molalities of 0.05, 0.1, 0.25, 0.5, 1.0, 2.0, and 3.0 mole-kg−1. The electromotive-force measurements of cells containing the hydrogen and the silver-silver bromide electrode were used to determine the variation of the logarithm of the activity coefficient of hydrobromic acid with the change in the amount of ammonium bromide in the solution. The results have been interpreted in terms of the Pitzer treatment of mixed electrolytes and are compared with those of Harned and Hamer for the HBr−KBr−H2O and HBr−NaBr−H2O systems. It is found that Harned's rule is a good description for both electrolytes.
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  • 2
    ISSN: 1572-8927
    Keywords: Zwitterions ; ampholyte ; dissociation constant ; glycine ; solute-solvent interactions ; ionization ; activity coefficient ; methanol-water ; aqueous mixture
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The two thermodynamic dissociation constants of glycine at 11 temperatures from 5 to 55°C in 50 mass % methanol-water mixed solvent have been determined from precise emf measurements with hydrogen-silver bromide electrodes in cells without liquid junction. The first acidic dissociation constant (K 1)for the process HG+⇌H++G± is expressed as a function ofT(oK) by the equation pK 1 = 2043.5/T − 9.6504 + 0.019308T. At 25°C, pK 1is 2.961 in the mixed solvent, as compared with 2.350 in water, with ΔH°=1497 cal-mole−1, ΔG°=4038 cal-mole−1, ΔS°=−8.52 cal-°K−1-mole−1, and ΔC p o =−53 cal-°K−1-mole−1. The second acidic dissociation constant (K 2)for the process G±⇌H++G− over the temperature range studied is given by the equation pK 2 = 3627.1/T − 7.2371 + 0.015587T. At 25°C, pK 2is 9.578 in MeOH−H2O as compared with 9.780 in water, whereas ΔH° is 10,257 cal-mole−1, ΔG° is 13,063 cal-mole−1, ΔS° is −9.41 cal-°K−1-mole−1, and ΔC p o is −43 cal-°K−1-mole−1. The protonated glycine becomes weaker in 50 mass % methanol-water, whereas the second dissociation process becomes stronger despite the lower dielectric constant of the mixed solvent (ω=56.3 at 25°C).
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 6 (1977), S. 475-485 
    ISSN: 1572-8927
    Keywords: Zwitterions ; ampholyte ; dissociation constants ; glycine ; solute-solvent interactions ; ionization ; activity coefficient ; monoglyme-water ; aqueous mixtures
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Electromotive-force measurements on cells without liquid junction have been used to determine the pK 1 and pK 2 values of glycine in 50 mass % aqueous monoglyme at 11 temperatures from 5 to 55°C. The change in the first dissociation constant is given as a function of the thermodynamic temperatureT by the equation pK 1=−2058.6/T+15.421−0.019169T, whereas that for the second dissociation constant is given by the equation pK 2=1200.5/T+6.7211−0.0042897T. At 25°C, the pK 1 is 2.806 in the mixed solvent, as compared with 2.350 in water; hence, protonated glycine becomes a weaker acid in the mixed solvent. The pK 2 is 9.453 in the mixed solvent, whereas that in water is 9.780, suggesting that the second dissociation process becomes stronger in terms of acidity. The thermodynamic quantities ΔG o, ΔH o, ΔS o, and ΔC p o have been calculated, and the results have been discussed with respect to preferential solvation and also compared with similar data for the same two processes in 50 mass % methanol.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 20 (1991), S. 361-373 
    ISSN: 1572-8927
    Keywords: Ionization ; sulfurous acid ; Pitzer equations ; solubility ; NaMgCl ; SO2 ; activity coefficient ; ion pairing
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The stoichiometric pK 1 * and pK 2 * for the ionization of sulfurous acid has been determined from emf measurements in NaCl solutions with varying concentrations of added MgCl2 (m=0.1, 0.2 and 0.3) from I=0.5 to 6.0 molal at 25°C. These experimental results have been treated using both the ion pairing and Pitzer's specific ion-interaction models. The Pitzer parameters for the interaction of Mg2+ with SO2 and HSO 3 − yielded λ=0.085±0.004, β(0) = 0.35±0.02, β(1) = 1.2±0.04, and Cφ = −0.072±0.007. The Pitzer parameters β(0) = −2.8±0.4, β(1) = 12.9±2.9 and β(2) = −2071±57 have been determined for the interactions of Mg2+ with SO 3 2− . The calculated values of pK 1 * and pK 2 * using Pitzer's equations reproduce the measured values to within ±0.04 pK units. The ion pairing model with log KMgSO3=2.36±0.02 and logγMgSO3 = 0.1021, reproduces the experimental values of pK 2 * to ±0.01. These results demonstrate that treating the data by considering the formation of MgSO3 yields a better fit of the experimental measurements with fewer adjustable parameters. With these derived coefficients obtained from the Pitzer equations and the ion pairing model, it is possible to make reliable estimates of the activity coefficients of HSO 3 − and SO 3 2− in seawater, brines and marine aerosols containing Mg2+ ions.
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  • 5
    ISSN: 1572-8927
    Keywords: samarium chloride: activity coefficients ; Nernst equation ; Harned's rule ; emf ; Pitzer equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A comprehensive array of electrochemical cell measurements for the system HCl +SmCl3 + H2O was made from 5 to 55°C using a cell without liquid junction ofthe type:Pt; H2(g, 1 atm)|HCl (m A) + SmCl3 (m B)|AgCl, Ag (A)The present study, unlike previous studies of trivalent ions, are not complicatedby hydrolysis reactions. Measurements of the emf were performed for solutionsat constant total ionic strengths of 0.025, 0.05, 0.1, 0.25, 0.5, 1.0, 1.5, 2.0, 2.5,and 3.0 mol-kg−1. The mean activity coefficients of HCl (γHCl) in the mixtureswere calculated using the Nernst equation. All the experimental emf measurements(about 850) were first treated in terms of the simpler Harned's rule. Harnedinteraction coefficients (αAB and βAB) were calculated. The linear form of Harned'srule is valid for most ionic strengths, but quadratic terms are needed at I = 1.5and 3 mol-kg−1. The Pitzer model was used to evaluate the activity coefficientsusing literature values, β(0), β(1), and C φ, for HCl from 0 to 50°C and 25°C forSmCl3. The effect of temperature on the parameters for SmCl3 has been estimatedusing enthalpy and heat-capacity data. The mixing parameter ΘH,Sm wasdetermined at 25°C. The addition of the ΨH,Sm,Cl coefficient did not improve the fitsignificantly and no temperature dependence was found to be significant. Thevalue of ΘH,Sm = 0.2 ± 0.01 represented the values of γHCl with a standarddeviation of σ = 0.009 over the entire range of temperatures and ionic strength.The use of higher-order electrostatic effects (EΘH,Sm, EΘH,Sm) was included as itgave a better fit of the activity coefficients of HCl.
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Journal of solution chemistry 29 (2000), S. 289-297 
    ISSN: 1572-8927
    Keywords: Activity coefficient ; emf ; hydrochloric acid ; gallium chloride ; Pitzer equations ; hydrolysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract A comprehensive equation for the thermodynamic properties of the systemGaCl3-HCl-H2O at 25°C in the ion-interaction (Pitzer) equation form has been generatedon the basis of a recent and comprehensive array of electrochemical cellmeasurements of the HCl activity at total stoichiometric ionic strengths from 0.01 to 3.0mol-kg−1. Alternate equations with and without explicit consideration of thehydrolyzed product GaOH2+ as a separate species have been tested. Excellentagreement is obtained between the calculated and measured cell potentials forthe formulation, which includes GaOH2+ as an additional species. The effect offurther hydrolysis as well as that of complex formation has been found to benegligible. While a satisfactory set of Pitzer parameters has been found, it wasnot possible to obtain a unique thermodynamic representation for this systembecause of large uncertainties in the first hydrolysis constant of Ga(III) and becauseof redundancies and intrinsic correlations between some of the Pitzer parameters.
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  • 7
    ISSN: 1572-8927
    Keywords: Hydrochloric acid ; gadolinium chloride ; emf ; Harned's rule ; Pitzer equations ; activity coefficients ; mixtures of electrolytes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract The emf of the cell $${\text{Pt, H}}_{\text{2}} ({\text{g, 1 atm}})|{\text{HCI(}}m_{\text{A}} {\text{),GdCl}}_{\text{3}} (m_B )|{\text{AgCl, Ag}}$$ without a liquid junction was used to investigate the HCl + GdCl3 + H2O mixedelectrolyte system. The emf of the cell was measured for HCl + GdCl3 + H2Osolutions at ionic strengths of 0.025, 0.05, 0.1, 0.5, 1.0, 1.5, and 2.0 mol-kg−1and at eleven temperatures ranging from 5 to 55°C at 5°C intervals. The meanactivity coefficients for HCl in the mixtures were determined using the Nernstequation. About 793 experimental emf data points were treated by the Harnedequations. Results show that hydrochloric acid follows Harned's rule at all ionicstrengths, but the quadratic term is needed for I = 1.5 mol-kg−1. Theion-interaction treatment of Pitzer was used to evaluate the results. The binary andternary mixing parameters at 25°C were found to be ΘH,Gd = 0.07 ± 0.03 andΨH,Gd,Cl = 0.14 ± 0.03. These values were determined using literature values ofβ(0), β(1), and C ψ for GdCl3 at 25°C and estimates of the effect of temperaturefrom 5 to 55°C using enthalpy and heat capacity data.
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