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

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Abstract

The pressure dependences of the osmotic and activity coefficients of lithium nitrate (LiNO3) in ethanol at 298.15 K up to 40 MPa and 3.0 mol·kg−1 have been estimated from literature volumetric data on LiNO3 solutions in ethanol using the Pitzer ion-interaction or virial coefficient approach. In particular, the volumetric Pitzer ion-interaction parameters (\(\beta_{{{\text{MX}}}}^{{\left( 0 \right){\text{V}}}}\), \(\beta_{{{\text{MX}}}}^{{\left( 1 \right){\text{V}}}}\), and \(C_{{{\text{MX}}}}^{{\text{V}}}\)) have been evaluated from a mathematical fit of literature apparent molar volume data to the appropriate Pitzer equation. These were then expressed as polynomials in pressure, which were used to calculate the change in the osmotic and activity coefficients in going from an initial pressure of p1 to a final pressure of p2. These pressure dependences have subsequently been coupled with the osmotic and activity coefficient values of ethanolic LiNO3 solutions at atmospheric pressure obtained from the literature to yield a comprehensive set of osmotic and activity coefficients for LiNO3 solutions in ethanol at 298.15 K, pressures of 5, 10, 15, 20, 25, 30, 35, and 40 MPa, and molalities to 3.0 mol·kg−1. The approximation as to the pressure dependence of the dielectric constant of ethanol estimated using the isothermal compressibilities has been tested for pressures above 0.1 MPa. The results demonstrate that this approximation becomes poorer with the increase in pressure as far as ethanol is concerned.

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Acknowledgements

The authors thank the Department of Chemistry, Presidency University, Kolkata, India, to provide the computational facilities.

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  1. Department of Chemistry, Presidency University, Kolkata, 700 073, India

    Somnath Pramanik & Bijan Das

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  1. Somnath Pramanik
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Conceptualization: BD; Methodology: SP; Formal analysis and investigation: SP; Writing—original draft preparation: SP; Writing—review and editing: BD; Funding acquisition: BD; Resources: BD; Supervision: BD.

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Correspondence to Bijan Das.

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Pramanik, S., Das, B. Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures. J Solution Chem 51, 1589–1602 (2022). https://doi.org/10.1007/s10953-022-01212-9

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