Isopiestic Determination of the Osmotic and Activity Coefficients of the {yNa(2)HPO(4) + (1-y)K2HPO4}(aq) System at T=298.15 K
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2016
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Isopiestic measurements have been made for aqueous mixtures of Na2HPO4 and K2HPO4 at T = (298.15 +/- 0.01) K, at Na2HPO4 ionic strength fractions y = (0.2023, 0.4060, 0.6027, 0.8007, and 1), using KCl(aq) as the reference standard solution. The resulting 48 molality-based osmotic coefficients for the ternary mixtures were modeled with an extended form of Pitzer's ion-interaction model, with the usual Pitzer mixing terms and also with Scatchard's neutral-electrolyte model mixing terms, along with the Clegg-Pitzer-Brimblecombe equations based on the mole-fraction-composition scale. There are no previously published isopiestic measurements for this ternary system. Model parameters for Na2HPO4(aq) at T = 298.15 K were also evaluated using the present isopiestic results (12 values) along with three other sets of osmotic coefficients from isopiestic measurements taken from the published literature, and all four sets of osmotic coefficients are in good agreement; model parameters for K2HPO4(a...q) are already available from our earlier work: (PopoviAc et al. in J Solution Chem 40:907-920, 2011). For this ternary system, only one mixing parameter is needed for each of the three models because the ionic strength dependences of the osmotic coefficients of Na2HPO4(aq) and K2HPO4(aq) are very similar, as expected from their very similar chemistry, with the two variants of the extended Pitzer model giving slightly better representations of the experimental results than the Clegg-Pitzer-Brimblecombe model. Maximum differences in calculated values of mean molality-based activity coefficients for these three models are a dagger gamma (+/-)(Na2HPO4) aecurrency sign0.004 and a dagger gamma (+/-)(K2HPO4) aecurrency sign0.008 for ionic strengths I (m) aecurrency sign 2.0 mol center dot kg(-1), with the largest differences occurring for the trace and near-trace activity coefficients of one solute in a solution of the other solute at higher ionic strengths and solutions rich in K2HPO4 at intermediate ionic strengths. These new results complement our earlier investigations of aqueous common-cation mixtures of K2HPO4 with KCl, KBr, KNO3 and K2SO4.
Кључне речи:
Aqueous solutions / Isopiestic measurements / Na2HPO4 / K2HPO4 / Osmotic coefficients / Activity coefficientsИзвор:
Journal of Solution Chemistry, 2016, 45, 9, 1261-1287Издавач:
- Springer/Plenum Publishers, New York
Финансирање / пројекти:
- Нови индустријски и еколошки аспекти примене хемијске термодинамике на унапређење хемијских процеса са вишефазним и вишекомпонентним системима (RS-MESTD-Basic Research (BR or ON)-172063)
DOI: 10.1007/s10953-015-0429-7
ISSN: 0095-9782
WoS: 000385151300002
Scopus: 2-s2.0-84954483001
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Институција/група
Tehnološko-metalurški fakultetTY - JOUR AU - Popović, Daniela AU - Miladinović, Jelena AU - Rard, Joseph A. AU - Miladinović, Zoran P. AU - Grujić, Snežana PY - 2016 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/3362 AB - Isopiestic measurements have been made for aqueous mixtures of Na2HPO4 and K2HPO4 at T = (298.15 +/- 0.01) K, at Na2HPO4 ionic strength fractions y = (0.2023, 0.4060, 0.6027, 0.8007, and 1), using KCl(aq) as the reference standard solution. The resulting 48 molality-based osmotic coefficients for the ternary mixtures were modeled with an extended form of Pitzer's ion-interaction model, with the usual Pitzer mixing terms and also with Scatchard's neutral-electrolyte model mixing terms, along with the Clegg-Pitzer-Brimblecombe equations based on the mole-fraction-composition scale. There are no previously published isopiestic measurements for this ternary system. Model parameters for Na2HPO4(aq) at T = 298.15 K were also evaluated using the present isopiestic results (12 values) along with three other sets of osmotic coefficients from isopiestic measurements taken from the published literature, and all four sets of osmotic coefficients are in good agreement; model parameters for K2HPO4(aq) are already available from our earlier work: (PopoviAc et al. in J Solution Chem 40:907-920, 2011). For this ternary system, only one mixing parameter is needed for each of the three models because the ionic strength dependences of the osmotic coefficients of Na2HPO4(aq) and K2HPO4(aq) are very similar, as expected from their very similar chemistry, with the two variants of the extended Pitzer model giving slightly better representations of the experimental results than the Clegg-Pitzer-Brimblecombe model. Maximum differences in calculated values of mean molality-based activity coefficients for these three models are a dagger gamma (+/-)(Na2HPO4) aecurrency sign0.004 and a dagger gamma (+/-)(K2HPO4) aecurrency sign0.008 for ionic strengths I (m) aecurrency sign 2.0 mol center dot kg(-1), with the largest differences occurring for the trace and near-trace activity coefficients of one solute in a solution of the other solute at higher ionic strengths and solutions rich in K2HPO4 at intermediate ionic strengths. These new results complement our earlier investigations of aqueous common-cation mixtures of K2HPO4 with KCl, KBr, KNO3 and K2SO4. PB - Springer/Plenum Publishers, New York T2 - Journal of Solution Chemistry T1 - Isopiestic Determination of the Osmotic and Activity Coefficients of the {yNa(2)HPO(4) + (1-y)K2HPO4}(aq) System at T=298.15 K EP - 1287 IS - 9 SP - 1261 VL - 45 DO - 10.1007/s10953-015-0429-7 ER -
@article{ author = "Popović, Daniela and Miladinović, Jelena and Rard, Joseph A. and Miladinović, Zoran P. and Grujić, Snežana", year = "2016", abstract = "Isopiestic measurements have been made for aqueous mixtures of Na2HPO4 and K2HPO4 at T = (298.15 +/- 0.01) K, at Na2HPO4 ionic strength fractions y = (0.2023, 0.4060, 0.6027, 0.8007, and 1), using KCl(aq) as the reference standard solution. The resulting 48 molality-based osmotic coefficients for the ternary mixtures were modeled with an extended form of Pitzer's ion-interaction model, with the usual Pitzer mixing terms and also with Scatchard's neutral-electrolyte model mixing terms, along with the Clegg-Pitzer-Brimblecombe equations based on the mole-fraction-composition scale. There are no previously published isopiestic measurements for this ternary system. Model parameters for Na2HPO4(aq) at T = 298.15 K were also evaluated using the present isopiestic results (12 values) along with three other sets of osmotic coefficients from isopiestic measurements taken from the published literature, and all four sets of osmotic coefficients are in good agreement; model parameters for K2HPO4(aq) are already available from our earlier work: (PopoviAc et al. in J Solution Chem 40:907-920, 2011). For this ternary system, only one mixing parameter is needed for each of the three models because the ionic strength dependences of the osmotic coefficients of Na2HPO4(aq) and K2HPO4(aq) are very similar, as expected from their very similar chemistry, with the two variants of the extended Pitzer model giving slightly better representations of the experimental results than the Clegg-Pitzer-Brimblecombe model. Maximum differences in calculated values of mean molality-based activity coefficients for these three models are a dagger gamma (+/-)(Na2HPO4) aecurrency sign0.004 and a dagger gamma (+/-)(K2HPO4) aecurrency sign0.008 for ionic strengths I (m) aecurrency sign 2.0 mol center dot kg(-1), with the largest differences occurring for the trace and near-trace activity coefficients of one solute in a solution of the other solute at higher ionic strengths and solutions rich in K2HPO4 at intermediate ionic strengths. These new results complement our earlier investigations of aqueous common-cation mixtures of K2HPO4 with KCl, KBr, KNO3 and K2SO4.", publisher = "Springer/Plenum Publishers, New York", journal = "Journal of Solution Chemistry", title = "Isopiestic Determination of the Osmotic and Activity Coefficients of the {yNa(2)HPO(4) + (1-y)K2HPO4}(aq) System at T=298.15 K", pages = "1287-1261", number = "9", volume = "45", doi = "10.1007/s10953-015-0429-7" }
Popović, D., Miladinović, J., Rard, J. A., Miladinović, Z. P.,& Grujić, S.. (2016). Isopiestic Determination of the Osmotic and Activity Coefficients of the {yNa(2)HPO(4) + (1-y)K2HPO4}(aq) System at T=298.15 K. in Journal of Solution Chemistry Springer/Plenum Publishers, New York., 45(9), 1261-1287. https://doi.org/10.1007/s10953-015-0429-7
Popović D, Miladinović J, Rard JA, Miladinović ZP, Grujić S. Isopiestic Determination of the Osmotic and Activity Coefficients of the {yNa(2)HPO(4) + (1-y)K2HPO4}(aq) System at T=298.15 K. in Journal of Solution Chemistry. 2016;45(9):1261-1287. doi:10.1007/s10953-015-0429-7 .
Popović, Daniela, Miladinović, Jelena, Rard, Joseph A., Miladinović, Zoran P., Grujić, Snežana, "Isopiestic Determination of the Osmotic and Activity Coefficients of the {yNa(2)HPO(4) + (1-y)K2HPO4}(aq) System at T=298.15 K" in Journal of Solution Chemistry, 45, no. 9 (2016):1261-1287, https://doi.org/10.1007/s10953-015-0429-7 . .