Thermodynamics of the HBr + NiBr2 + H2O system from 5°C to 55°C

Rabindra N. Roy, Nancy A. Coffman, Melanie D. Bell, Lakshmi N. Roy, Denis Pierrot, Frank J Millero

Research output: Contribution to journalArticle

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Abstract

The emf of the following cell (A) without liquid junction was used to investigate the HBr + NiBr2 + H2O mixed electrolyte system. Pt,H2(g,1 atm)|HBr(m(A)),NiBr2(m(B))|AgBr,Ag. Measurements of the emf were performed for solutions at constant total ionic strengths of 0.05, 0.1, 0.25, 0.5, 1.0, 1.5 and 2.0 mol kg-1 at temperatures ranging from 5°C to 55°C, except for I = 2.0 mol kg-1, where measurements were only made at 25°C. The mean activity coefficients of HBr in the mixtures were calculated using the Nernst equation. The thermodynamic properties of unsymmetrical mixtures are interpreted in terms of the simpler Harned's rule, as well as the comprehensive Pitzer's ion-interaction approach including higher order electrostatic effects for electrolyte mixtures. The Harned interaction coefficients α(AB) and β(AB) were determined from the data on the HBr + NiBr2 mixture. Literature osmotic coefficient data at 25°C have been used to determine the pure electrolyte Pitzer parameters (β((0)), β((1)), and C(φ)) for NiBr2. The results were combined with the value of Θ(H,Ni) = 0.069 obtained from the HCl + NiCl2 + H2O system to determine Ψ(H,Ni,Br) = 0.06 from our emf data at 25°C. The effect of temperature (0-55°C) on the Pitzer parameters (β((0)), β((1)), and C(φ)) for HBr and NiBr2 was determined from the present emf measurements, assuming that the higher order electrical terms (Θ(H,Ni) and Ψ(H,Ni,Br)) were independent of temperature. They were fitted to a simple polynomial function of temperature (°C): β(H,Br)((0)) = 0.2085 + 8.55 x 10-4(t - 25) - 1.8 x 10-4(t - 25)2 β(H,Br)((1)) = 0.3477 + 18.0 x 10-4(t - 25) + 3.9 x 10-4(t - 25)2 C(H,Br)(φ) = 0.001517 - 7.10 x 10-4(t - 25) + 1.05 x 10-4(t - 25)2 and β(N,Br)((0)) = 0.4451 - 0.0307(t - 25) - 3.1 x 10-4(t - 25)2 β(N,Br)((1)) = 1.49 + 0.0855(t - 25) - 6.2 x 10-4(t - 25)2 C(Ni,Br)((φ)) = - 0.00626 + 0.029(t - 25) + 8.45 x 10-4(t - 25)2. The values of the Pitzer parameters for NiBr2 were of the same order of magnitude as found for other bivalent bromides. (C) 2000 Elsevier Science B.V.

Original languageEnglish (US)
Pages (from-to)37-48
Number of pages12
JournalMarine Chemistry
Volume70
Issue number1-3
DOIs
StatePublished - May 2000

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thermodynamics
Thermodynamics
electrolyte
Electrolytes
Electric potential
temperature
Temperature
activity coefficient
thermodynamic property
Activity coefficients
Ionic strength
Bromides
bromide
Electrostatics
Thermodynamic properties
Polynomials
Ions
liquid
ion
Liquids

Keywords

  • Harned's rule
  • HBr + NiBr + HO system
  • Nernst equation
  • Pitzer parameters

ASJC Scopus subject areas

  • Chemistry(all)
  • Oceanography

Cite this

Roy, R. N., Coffman, N. A., Bell, M. D., Roy, L. N., Pierrot, D., & Millero, F. J. (2000). Thermodynamics of the HBr + NiBr2 + H2O system from 5°C to 55°C. Marine Chemistry, 70(1-3), 37-48. https://doi.org/10.1016/S0304-4203(00)00013-X

Thermodynamics of the HBr + NiBr2 + H2O system from 5°C to 55°C. / Roy, Rabindra N.; Coffman, Nancy A.; Bell, Melanie D.; Roy, Lakshmi N.; Pierrot, Denis; Millero, Frank J.

In: Marine Chemistry, Vol. 70, No. 1-3, 05.2000, p. 37-48.

Research output: Contribution to journalArticle

Roy, RN, Coffman, NA, Bell, MD, Roy, LN, Pierrot, D & Millero, FJ 2000, 'Thermodynamics of the HBr + NiBr2 + H2O system from 5°C to 55°C', Marine Chemistry, vol. 70, no. 1-3, pp. 37-48. https://doi.org/10.1016/S0304-4203(00)00013-X
Roy RN, Coffman NA, Bell MD, Roy LN, Pierrot D, Millero FJ. Thermodynamics of the HBr + NiBr2 + H2O system from 5°C to 55°C. Marine Chemistry. 2000 May;70(1-3):37-48. https://doi.org/10.1016/S0304-4203(00)00013-X
Roy, Rabindra N. ; Coffman, Nancy A. ; Bell, Melanie D. ; Roy, Lakshmi N. ; Pierrot, Denis ; Millero, Frank J. / Thermodynamics of the HBr + NiBr2 + H2O system from 5°C to 55°C. In: Marine Chemistry. 2000 ; Vol. 70, No. 1-3. pp. 37-48.
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abstract = "The emf of the following cell (A) without liquid junction was used to investigate the HBr + NiBr2 + H2O mixed electrolyte system. Pt,H2(g,1 atm)|HBr(m(A)),NiBr2(m(B))|AgBr,Ag. Measurements of the emf were performed for solutions at constant total ionic strengths of 0.05, 0.1, 0.25, 0.5, 1.0, 1.5 and 2.0 mol kg-1 at temperatures ranging from 5°C to 55°C, except for I = 2.0 mol kg-1, where measurements were only made at 25°C. The mean activity coefficients of HBr in the mixtures were calculated using the Nernst equation. The thermodynamic properties of unsymmetrical mixtures are interpreted in terms of the simpler Harned's rule, as well as the comprehensive Pitzer's ion-interaction approach including higher order electrostatic effects for electrolyte mixtures. The Harned interaction coefficients α(AB) and β(AB) were determined from the data on the HBr + NiBr2 mixture. Literature osmotic coefficient data at 25°C have been used to determine the pure electrolyte Pitzer parameters (β((0)), β((1)), and C(φ)) for NiBr2. The results were combined with the value of Θ(H,Ni) = 0.069 obtained from the HCl + NiCl2 + H2O system to determine Ψ(H,Ni,Br) = 0.06 from our emf data at 25°C. The effect of temperature (0-55°C) on the Pitzer parameters (β((0)), β((1)), and C(φ)) for HBr and NiBr2 was determined from the present emf measurements, assuming that the higher order electrical terms (Θ(H,Ni) and Ψ(H,Ni,Br)) were independent of temperature. They were fitted to a simple polynomial function of temperature (°C): β(H,Br)((0)) = 0.2085 + 8.55 x 10-4(t - 25) - 1.8 x 10-4(t - 25)2 β(H,Br)((1)) = 0.3477 + 18.0 x 10-4(t - 25) + 3.9 x 10-4(t - 25)2 C(H,Br)(φ) = 0.001517 - 7.10 x 10-4(t - 25) + 1.05 x 10-4(t - 25)2 and β(N,Br)((0)) = 0.4451 - 0.0307(t - 25) - 3.1 x 10-4(t - 25)2 β(N,Br)((1)) = 1.49 + 0.0855(t - 25) - 6.2 x 10-4(t - 25)2 C(Ni,Br)((φ)) = - 0.00626 + 0.029(t - 25) + 8.45 x 10-4(t - 25)2. The values of the Pitzer parameters for NiBr2 were of the same order of magnitude as found for other bivalent bromides. (C) 2000 Elsevier Science B.V.",
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T1 - Thermodynamics of the HBr + NiBr2 + H2O system from 5°C to 55°C

AU - Roy, Rabindra N.

AU - Coffman, Nancy A.

AU - Bell, Melanie D.

AU - Roy, Lakshmi N.

AU - Pierrot, Denis

AU - Millero, Frank J

PY - 2000/5

Y1 - 2000/5

N2 - The emf of the following cell (A) without liquid junction was used to investigate the HBr + NiBr2 + H2O mixed electrolyte system. Pt,H2(g,1 atm)|HBr(m(A)),NiBr2(m(B))|AgBr,Ag. Measurements of the emf were performed for solutions at constant total ionic strengths of 0.05, 0.1, 0.25, 0.5, 1.0, 1.5 and 2.0 mol kg-1 at temperatures ranging from 5°C to 55°C, except for I = 2.0 mol kg-1, where measurements were only made at 25°C. The mean activity coefficients of HBr in the mixtures were calculated using the Nernst equation. The thermodynamic properties of unsymmetrical mixtures are interpreted in terms of the simpler Harned's rule, as well as the comprehensive Pitzer's ion-interaction approach including higher order electrostatic effects for electrolyte mixtures. The Harned interaction coefficients α(AB) and β(AB) were determined from the data on the HBr + NiBr2 mixture. Literature osmotic coefficient data at 25°C have been used to determine the pure electrolyte Pitzer parameters (β((0)), β((1)), and C(φ)) for NiBr2. The results were combined with the value of Θ(H,Ni) = 0.069 obtained from the HCl + NiCl2 + H2O system to determine Ψ(H,Ni,Br) = 0.06 from our emf data at 25°C. The effect of temperature (0-55°C) on the Pitzer parameters (β((0)), β((1)), and C(φ)) for HBr and NiBr2 was determined from the present emf measurements, assuming that the higher order electrical terms (Θ(H,Ni) and Ψ(H,Ni,Br)) were independent of temperature. They were fitted to a simple polynomial function of temperature (°C): β(H,Br)((0)) = 0.2085 + 8.55 x 10-4(t - 25) - 1.8 x 10-4(t - 25)2 β(H,Br)((1)) = 0.3477 + 18.0 x 10-4(t - 25) + 3.9 x 10-4(t - 25)2 C(H,Br)(φ) = 0.001517 - 7.10 x 10-4(t - 25) + 1.05 x 10-4(t - 25)2 and β(N,Br)((0)) = 0.4451 - 0.0307(t - 25) - 3.1 x 10-4(t - 25)2 β(N,Br)((1)) = 1.49 + 0.0855(t - 25) - 6.2 x 10-4(t - 25)2 C(Ni,Br)((φ)) = - 0.00626 + 0.029(t - 25) + 8.45 x 10-4(t - 25)2. The values of the Pitzer parameters for NiBr2 were of the same order of magnitude as found for other bivalent bromides. (C) 2000 Elsevier Science B.V.

AB - The emf of the following cell (A) without liquid junction was used to investigate the HBr + NiBr2 + H2O mixed electrolyte system. Pt,H2(g,1 atm)|HBr(m(A)),NiBr2(m(B))|AgBr,Ag. Measurements of the emf were performed for solutions at constant total ionic strengths of 0.05, 0.1, 0.25, 0.5, 1.0, 1.5 and 2.0 mol kg-1 at temperatures ranging from 5°C to 55°C, except for I = 2.0 mol kg-1, where measurements were only made at 25°C. The mean activity coefficients of HBr in the mixtures were calculated using the Nernst equation. The thermodynamic properties of unsymmetrical mixtures are interpreted in terms of the simpler Harned's rule, as well as the comprehensive Pitzer's ion-interaction approach including higher order electrostatic effects for electrolyte mixtures. The Harned interaction coefficients α(AB) and β(AB) were determined from the data on the HBr + NiBr2 mixture. Literature osmotic coefficient data at 25°C have been used to determine the pure electrolyte Pitzer parameters (β((0)), β((1)), and C(φ)) for NiBr2. The results were combined with the value of Θ(H,Ni) = 0.069 obtained from the HCl + NiCl2 + H2O system to determine Ψ(H,Ni,Br) = 0.06 from our emf data at 25°C. The effect of temperature (0-55°C) on the Pitzer parameters (β((0)), β((1)), and C(φ)) for HBr and NiBr2 was determined from the present emf measurements, assuming that the higher order electrical terms (Θ(H,Ni) and Ψ(H,Ni,Br)) were independent of temperature. They were fitted to a simple polynomial function of temperature (°C): β(H,Br)((0)) = 0.2085 + 8.55 x 10-4(t - 25) - 1.8 x 10-4(t - 25)2 β(H,Br)((1)) = 0.3477 + 18.0 x 10-4(t - 25) + 3.9 x 10-4(t - 25)2 C(H,Br)(φ) = 0.001517 - 7.10 x 10-4(t - 25) + 1.05 x 10-4(t - 25)2 and β(N,Br)((0)) = 0.4451 - 0.0307(t - 25) - 3.1 x 10-4(t - 25)2 β(N,Br)((1)) = 1.49 + 0.0855(t - 25) - 6.2 x 10-4(t - 25)2 C(Ni,Br)((φ)) = - 0.00626 + 0.029(t - 25) + 8.45 x 10-4(t - 25)2. The values of the Pitzer parameters for NiBr2 were of the same order of magnitude as found for other bivalent bromides. (C) 2000 Elsevier Science B.V.

KW - Harned's rule

KW - HBr + NiBr + HO system

KW - Nernst equation

KW - Pitzer parameters

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