Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures

Pramanik, Somnath; Das, Bijan

doi:10.1007/s10953-022-01212-9

Cited by 5 publications

(4 citation statements)

References 31 publications

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“…These pressure-dependencies can be combined with the absolute values of osmotic and activity coefficients at 0.1 MPa to yield the values of these coefficients at high pressures. This later method has already been applied to obtain extensive arrays of activity and osmotic coefficients of aqueous Na2SO4, K2SO4, KF, and NaNO3 solutions as well as of an ethanolic solution of LiNO3 over wide ranges of solute molality, temperature, and pressure [5][6][7][8][9]. The results for aqueous ZnSO4 solutions obtained using the former approach proposed here in this research would be shown to agree very well with those computed on the basis of the method put forward by Rogers & Pitzer (1982) [4].…”

Section: Introductionsupporting

confidence: 61%

“…The method has been successfully applied earlier to estimate the osmotic and activity coefficients of a number of electrolyte solutions, namely Na2SO4, K2SO4, KF, and NaNO3 in aqueous solutions, and of LiNO3 in ethanolic solution [5][6][7][8][9]. It would, therefore, be interesting to compare the results of the present calculations based on the method proposed here on the system selected in this work with those obtained using the method of Rogers and Pitzer [4].…”

Section: Methods Of Calculationmentioning

confidence: 95%

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Thermodynamic Properties of Aqueous Zinc Sulfate Solutions under Super- ambient Conditions: A Novel Approach

Pramanik¹,

Das²

2022

Preprint

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A new method has been proposed to estimate the osmotic and activity coefficients of aqueous electrolyte solutions under super-ambient conditions on the basis of the Pitzer ion-interaction approach using the volumetric data. Following this method, a compact set of Pitzer ion-interaction parameters, βMX(0), βMX(1), βMX(2), and βMXϕ, valid within the temperature range from 293.15 to 373.15 K, and pressure range from 0.1 to 10 MPa have been obtained for aqueous ZnSO4 solutions. These parameters helped evaluate the osmotic and activity coefficients of this system to 3.0 mol∙kg− 1 within the temperature and pressure range mentioned above. The pressure dependences of osmotic and activity coefficients have also been estimated using the equations derived by Rogers and Pitzer (1982). The results obtained by the method proposed in this research agree very well with those calculated using Rogers & Pitzer approach. The advantage of the method proposed here is that it directly provides a compact set of Pitzer ion-interaction parameters required for describing the osmotic and activity coefficients, in contrast to the other method. This study also provided important information as to the ion-association behaviour of aqueous ZnSO4 solution with respect to temperature and pressure. Further, the apparent molar enthalpies have been estimated using appropriate temperature derivatives of the Pitzer ion-interaction parameters.

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Section: Introductionsupporting

confidence: 61%

Section: Methods Of Calculationmentioning

confidence: 95%

Thermodynamic Properties of Aqueous Zinc Sulfate Solutions under Super- ambient Conditions: A Novel Approach

Pramanik¹,

Das²

2022

Preprint

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“…Although such data are available at ambient temperature and pressure, − these are rather limited in the region of high temperature − and are completely absent above ambient pressure until date. This research therefore aims to develop a database for the osmotic coefficient, activity coefficient, and relative apparent partial molar enthalpy values of aqueous Li 2 SO 4 solutions as a function molality over wide ranges of temperature and pressure using the literature volumetric data on the basis of the Pitzer ion-interaction or virial coefficient approach. − We have applied this approach earlier successfully to estimate the osmotic coefficients and activity coefficients of Na 2 SO 4 , K 2 SO 4 , KF, NaNO 3 , and ZnSO 4 in aqueous media and of LiNO 3 in ethanol solutions under superambient conditions. − …”

Section: Introductionmentioning

confidence: 99%

Osmotic and Activity Coefficients of Aqueous Lithium Sulfate Solutions within the Temperature Range 293.15–498.15 K to 40 MPa

Pramanik,

Das

2024

J. Chem. Eng. Data

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Comprehensive equations for the thermodynamic properties of aqueous Li 2 SO 4 solutions applicable to high temperatures and pressures have been generated by using the literature data for the volumetric properties in conjunction with the osmotic/ activity coefficients at 0.1 MPa for temperatures up to 373.15 K and vapor saturation pressures above 373.15 K. The composition dependence has been represented by the equations of Pitzer, which combine a theoretical form and Debye−Huckel terms with empirically evaluated parameters for short-range interactions. In particular, the volume equations have been integrated to yield the osmotic and activity coefficients. The pressure derivatives of the Pitzer ion-interaction parameters of osmotic/activity coefficients provided the values of relative apparent molar enthalpies of this electrolyte solution. The set of equations generated here gives rise to osmotic coefficients, activity coefficients, and relative apparent molar enthalpies of aqueous Li 2 SO 4 solutions to 1.0 mol•kg −1 , 40 MPa, and 498.15 K. Analyses of the results provided important information regarding the ion-association behavior of the system under consideration.

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“…The modified model has been applied to determine the different thermodynamic properties of electrolyte solutions [14][15][16]. The generated parameters are fundamental to describe, understand, and project the behavior of associated multicomponent systems [17,18].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic Modeling of the Drowning-Out Crystallization Process for LiOH and CHLiO2

González,

Barrueto,

Jiménez

2024

Metals

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This study focuses on the thermodynamic modeling of the crystallization by the drowning process for two lithium salts: lithium hydroxide (LiOH) and lithium formate (CHLiO2). The modeling involves utilizing thermodynamic properties, such as the activity, osmotic, and solubility coefficients, within the ternary systems of LiOH + cosolvent + water and CHLiO2 + cosolvent + water, as well as their respective binary constituent systems. Ethanol is chosen as the cosolvent for both salts, facilitating a comparative analysis. Given the limited availability of thermodynamic data for lithium formate with different cosolvents, the study aims to address this gap. The modified Pitzer model was employed for the modeling process, where the parameters were successfully obtained for both systems, with a deviation of less than 1%. Additionally, the mass and energy balance for the drowning-out crystallization process of both salts was performed.

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Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures

Cited by 5 publications

References 31 publications

Thermodynamic Properties of Aqueous Zinc Sulfate Solutions under Super- ambient Conditions: A Novel Approach

Thermodynamic Properties of Aqueous Zinc Sulfate Solutions under Super- ambient Conditions: A Novel Approach

Osmotic and Activity Coefficients of Aqueous Lithium Sulfate Solutions within the Temperature Range 293.15–498.15 K to 40 MPa

Thermodynamic Modeling of the Drowning-Out Crystallization Process for LiOH and CHLiO2

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