Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point
Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K....
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hu, Baichuan [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2009 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2009 |
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| Übergeordnetes Werk: |
Enthalten in: International journal of thermophysics - Springer US, 1980, 31(2009), 4-5 vom: 20. Sept., Seite 717-726 |
|---|---|
| Übergeordnetes Werk: |
volume:31 ; year:2009 ; number:4-5 ; day:20 ; month:09 ; pages:717-726 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10765-009-0647-6 |
|---|
| Katalog-ID: |
OLC2076472045 |
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| 245 | 1 | 0 | |a Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point |
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| 520 | |a Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. | ||
| 650 | 4 | |a Cobalt(II,III) oxide | |
| 650 | 4 | |a Critical phenomena | |
| 650 | 4 | |a Iron(III) oxide | |
| 650 | 4 | |a Isobutyric acid | |
| 650 | 4 | |a Solubility | |
| 650 | 4 | |a Water | |
| 700 | 1 | |a Baird, James K. |4 aut | |
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10.1007/s10765-009-0647-6 doi (DE-627)OLC2076472045 (DE-He213)s10765-009-0647-6-p DE-627 ger DE-627 rakwb eng 530 VZ Hu, Baichuan verfasserin aut Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2009 Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. Cobalt(II,III) oxide Critical phenomena Iron(III) oxide Isobutyric acid Solubility Water Baird, James K. aut Enthalten in International journal of thermophysics Springer US, 1980 31(2009), 4-5 vom: 20. Sept., Seite 717-726 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:31 year:2009 number:4-5 day:20 month:09 pages:717-726 https://doi.org/10.1007/s10765-009-0647-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_170 GBV_ILN_2050 GBV_ILN_4012 GBV_ILN_4700 AR 31 2009 4-5 20 09 717-726 |
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10.1007/s10765-009-0647-6 doi (DE-627)OLC2076472045 (DE-He213)s10765-009-0647-6-p DE-627 ger DE-627 rakwb eng 530 VZ Hu, Baichuan verfasserin aut Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2009 Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. Cobalt(II,III) oxide Critical phenomena Iron(III) oxide Isobutyric acid Solubility Water Baird, James K. aut Enthalten in International journal of thermophysics Springer US, 1980 31(2009), 4-5 vom: 20. Sept., Seite 717-726 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:31 year:2009 number:4-5 day:20 month:09 pages:717-726 https://doi.org/10.1007/s10765-009-0647-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_170 GBV_ILN_2050 GBV_ILN_4012 GBV_ILN_4700 AR 31 2009 4-5 20 09 717-726 |
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10.1007/s10765-009-0647-6 doi (DE-627)OLC2076472045 (DE-He213)s10765-009-0647-6-p DE-627 ger DE-627 rakwb eng 530 VZ Hu, Baichuan verfasserin aut Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2009 Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. Cobalt(II,III) oxide Critical phenomena Iron(III) oxide Isobutyric acid Solubility Water Baird, James K. aut Enthalten in International journal of thermophysics Springer US, 1980 31(2009), 4-5 vom: 20. Sept., Seite 717-726 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:31 year:2009 number:4-5 day:20 month:09 pages:717-726 https://doi.org/10.1007/s10765-009-0647-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_170 GBV_ILN_2050 GBV_ILN_4012 GBV_ILN_4700 AR 31 2009 4-5 20 09 717-726 |
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10.1007/s10765-009-0647-6 doi (DE-627)OLC2076472045 (DE-He213)s10765-009-0647-6-p DE-627 ger DE-627 rakwb eng 530 VZ Hu, Baichuan verfasserin aut Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2009 Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. Cobalt(II,III) oxide Critical phenomena Iron(III) oxide Isobutyric acid Solubility Water Baird, James K. aut Enthalten in International journal of thermophysics Springer US, 1980 31(2009), 4-5 vom: 20. Sept., Seite 717-726 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:31 year:2009 number:4-5 day:20 month:09 pages:717-726 https://doi.org/10.1007/s10765-009-0647-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_170 GBV_ILN_2050 GBV_ILN_4012 GBV_ILN_4700 AR 31 2009 4-5 20 09 717-726 |
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10.1007/s10765-009-0647-6 doi (DE-627)OLC2076472045 (DE-He213)s10765-009-0647-6-p DE-627 ger DE-627 rakwb eng 530 VZ Hu, Baichuan verfasserin aut Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point 2009 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2009 Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. Cobalt(II,III) oxide Critical phenomena Iron(III) oxide Isobutyric acid Solubility Water Baird, James K. aut Enthalten in International journal of thermophysics Springer US, 1980 31(2009), 4-5 vom: 20. Sept., Seite 717-726 (DE-627)130512540 (DE-600)764389-5 (DE-576)016085965 0195-928X nnns volume:31 year:2009 number:4-5 day:20 month:09 pages:717-726 https://doi.org/10.1007/s10765-009-0647-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY GBV_ILN_70 GBV_ILN_170 GBV_ILN_2050 GBV_ILN_4012 GBV_ILN_4700 AR 31 2009 4-5 20 09 717-726 |
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530 VZ Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point Cobalt(II,III) oxide Critical phenomena Iron(III) oxide Isobutyric acid Solubility Water |
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ddc 530 misc Cobalt(II,III) oxide misc Critical phenomena misc Iron(III) oxide misc Isobutyric acid misc Solubility misc Water |
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ddc 530 misc Cobalt(II,III) oxide misc Critical phenomena misc Iron(III) oxide misc Isobutyric acid misc Solubility misc Water |
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ddc 530 misc Cobalt(II,III) oxide misc Critical phenomena misc Iron(III) oxide misc Isobutyric acid misc Solubility misc Water |
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International journal of thermophysics |
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Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point |
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Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point |
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Hu, Baichuan |
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International journal of thermophysics |
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International journal of thermophysics |
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2009 |
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717 |
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Hu, Baichuan Baird, James K. |
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10.1007/s10765-009-0647-6 |
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530 |
| title_sort |
chemical equilibrium and critical phenomena: the solubilities of iron(iii) oxide and cobalt(ii,iii) oxide in isobutyric acid + water near the consolute point |
| title_auth |
Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point |
| abstract |
Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. © Springer Science+Business Media, LLC 2009 |
| abstractGer |
Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. © Springer Science+Business Media, LLC 2009 |
| abstract_unstemmed |
Abstract The solubilities of iron(III) oxide, formula $ Fe_{2} $$ O_{3} $, and cobalt(II,III) oxide, formula $ Co_{3} $$ O_{4} $, have been determined in the liquid mixture, isobutyric acid + water, along the critical isopleth at temperatures above the upper critical solution temperature near 299 K. When plotted in van’t Hoff form with ln s versus 1/T, the measurements of solubility, s, lie on a straight line for values of the temperature, T, in kelvin, which are sufficiently in excess of the critical solution temperature, Tc. The sign of the slope, (∂ ln s/∂(1/T)), indicates that in the case of both oxides, the dissolution reaction is endothermic. When the temperature is within 1K of Tc, however, the slope departs from its constant value and appears to diverge toward negative infinity. The principle of critical-point universality predicts that a divergence in (∂ ln s/∂(1/T)) is to be expected for T near Tc in those cases where the stoichiometry of the dissolution reaction involves both components of the solvent; moreover, the Gibbs–Helmholtz equation predicts that, if the heat of solution is endothermic, the sign of the divergence should be negative. Both of these predictions are confirmed by the solubilities of $ Fe_{2} $$ O_{3} $ and $ Co_{3} $$ O_{4} $ measured as a function of temperature along the critical isopleth of isobutyric acid + water. © Springer Science+Business Media, LLC 2009 |
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Chemical Equilibrium and Critical Phenomena: The Solubilities of Iron(III) Oxide and Cobalt(II,III) Oxide in Isobutyric Acid + Water Near the Consolute Point |
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