Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures
The pressure dependences of the osmotic and activity coefficients of lithium nitrate (LiNO 3 ) in ethanol at 298.15 K up to 40 MPa and 3.0 mol·kg −1 have been estimated from literature volumetric data on LiNO 3 solutions in ethanol using the Pitzer ion-interaction or virial coefficient approach. In...
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Veröffentlicht in: | Journal of solution chemistry 2022-12, Vol.51 (12), p.1589-1602 |
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description | The pressure dependences of the osmotic and activity coefficients of lithium nitrate (LiNO
3
) in ethanol at 298.15 K up to 40 MPa and 3.0 mol·kg
−1
have been estimated from literature volumetric data on LiNO
3
solutions in ethanol using the Pitzer ion-interaction or virial coefficient approach. In particular, the volumetric Pitzer ion-interaction parameters (
β
MX
0
V
,
β
MX
1
V
, and
C
MX
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
p
1
to a final pressure of
p
2
. These pressure dependences have subsequently been coupled with the osmotic and activity coefficient values of ethanolic LiNO
3
solutions at atmospheric pressure obtained from the literature to yield a comprehensive set of osmotic and activity coefficients for LiNO
3
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. |
doi_str_mv | 10.1007/s10953-022-01212-9 |
format | Article |
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3
) in ethanol at 298.15 K up to 40 MPa and 3.0 mol·kg
−1
have been estimated from literature volumetric data on LiNO
3
solutions in ethanol using the Pitzer ion-interaction or virial coefficient approach. In particular, the volumetric Pitzer ion-interaction parameters (
β
MX
0
V
,
β
MX
1
V
, and
C
MX
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
p
1
to a final pressure of
p
2
. These pressure dependences have subsequently been coupled with the osmotic and activity coefficient values of ethanolic LiNO
3
solutions at atmospheric pressure obtained from the literature to yield a comprehensive set of osmotic and activity coefficients for LiNO
3
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.</description><identifier>ISSN: 0095-9782</identifier><identifier>EISSN: 1572-8927</identifier><identifier>DOI: 10.1007/s10953-022-01212-9</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Activity coefficients ; Approximation ; Chemistry ; Chemistry and Materials Science ; Compressibility ; Condensed Matter Physics ; Ethanol ; Geochemistry ; Industrial Chemistry/Chemical Engineering ; Initial pressure ; Inorganic Chemistry ; Interaction parameters ; Lithium ; Mathematical analysis ; Molar volume ; Oceanography ; Physical Chemistry ; Polynomials ; Pressure dependence ; Temperature ; Virial coefficients</subject><ispartof>Journal of solution chemistry, 2022-12, Vol.51 (12), p.1589-1602</ispartof><rights>The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c249t-96b83146e7473b85ad6f38767eb36d0d00e4698766381c396d929214fbfb3cd23</citedby><cites>FETCH-LOGICAL-c249t-96b83146e7473b85ad6f38767eb36d0d00e4698766381c396d929214fbfb3cd23</cites><orcidid>0000-0003-4035-4359</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10953-022-01212-9$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10953-022-01212-9$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Pramanik, Somnath</creatorcontrib><creatorcontrib>Das, Bijan</creatorcontrib><title>Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures</title><title>Journal of solution chemistry</title><addtitle>J Solution Chem</addtitle><description>The pressure dependences of the osmotic and activity coefficients of lithium nitrate (LiNO
3
) in ethanol at 298.15 K up to 40 MPa and 3.0 mol·kg
−1
have been estimated from literature volumetric data on LiNO
3
solutions in ethanol using the Pitzer ion-interaction or virial coefficient approach. In particular, the volumetric Pitzer ion-interaction parameters (
β
MX
0
V
,
β
MX
1
V
, and
C
MX
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
p
1
to a final pressure of
p
2
. These pressure dependences have subsequently been coupled with the osmotic and activity coefficient values of ethanolic LiNO
3
solutions at atmospheric pressure obtained from the literature to yield a comprehensive set of osmotic and activity coefficients for LiNO
3
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.</description><subject>Activity coefficients</subject><subject>Approximation</subject><subject>Chemistry</subject><subject>Chemistry and Materials Science</subject><subject>Compressibility</subject><subject>Condensed Matter Physics</subject><subject>Ethanol</subject><subject>Geochemistry</subject><subject>Industrial Chemistry/Chemical Engineering</subject><subject>Initial pressure</subject><subject>Inorganic Chemistry</subject><subject>Interaction parameters</subject><subject>Lithium</subject><subject>Mathematical analysis</subject><subject>Molar volume</subject><subject>Oceanography</subject><subject>Physical Chemistry</subject><subject>Polynomials</subject><subject>Pressure dependence</subject><subject>Temperature</subject><subject>Virial coefficients</subject><issn>0095-9782</issn><issn>1572-8927</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMoWKt_wFPAczSZ7ObjWEq1QrEe2nPYj6RNaXdrkhX6741W8OZlhpl533fgQeie0UdGqXyKjOqSEwpAKAMGRF-gESslEKVBXqIRzXeipYJrdBPjjuZZ6WKEVst46JNvcNW1eNIk_-nTCU9765xvvO1SxL3DC5-2fjjgN59ClSz2HZ6lbdX1e7zuWhvw3G-2-D3YGIdcbtGVq_bR3v32MVo_z1bTOVksX16nkwVpoNCJaFErzgphZSF5rcqqFY4rKaStuWhpS6kthM4LwRVruBatBg2scLWredMCH6OHc-4x9B-Djcns-iF0-aUByYGCLlWZVXBWNaGPMVhnjsEfqnAyjJpveuZMz2R65oee0dnEz6aYxd3Ghr_of1xfLvtxMQ</recordid><startdate>20221201</startdate><enddate>20221201</enddate><creator>Pramanik, Somnath</creator><creator>Das, Bijan</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-4035-4359</orcidid></search><sort><creationdate>20221201</creationdate><title>Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures</title><author>Pramanik, Somnath ; Das, Bijan</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c249t-96b83146e7473b85ad6f38767eb36d0d00e4698766381c396d929214fbfb3cd23</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Activity coefficients</topic><topic>Approximation</topic><topic>Chemistry</topic><topic>Chemistry and Materials Science</topic><topic>Compressibility</topic><topic>Condensed Matter Physics</topic><topic>Ethanol</topic><topic>Geochemistry</topic><topic>Industrial Chemistry/Chemical Engineering</topic><topic>Initial pressure</topic><topic>Inorganic Chemistry</topic><topic>Interaction parameters</topic><topic>Lithium</topic><topic>Mathematical analysis</topic><topic>Molar volume</topic><topic>Oceanography</topic><topic>Physical Chemistry</topic><topic>Polynomials</topic><topic>Pressure dependence</topic><topic>Temperature</topic><topic>Virial coefficients</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Pramanik, Somnath</creatorcontrib><creatorcontrib>Das, Bijan</creatorcontrib><collection>CrossRef</collection><jtitle>Journal of solution chemistry</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Pramanik, Somnath</au><au>Das, Bijan</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures</atitle><jtitle>Journal of solution chemistry</jtitle><stitle>J Solution Chem</stitle><date>2022-12-01</date><risdate>2022</risdate><volume>51</volume><issue>12</issue><spage>1589</spage><epage>1602</epage><pages>1589-1602</pages><issn>0095-9782</issn><eissn>1572-8927</eissn><abstract>The pressure dependences of the osmotic and activity coefficients of lithium nitrate (LiNO
3
) in ethanol at 298.15 K up to 40 MPa and 3.0 mol·kg
−1
have been estimated from literature volumetric data on LiNO
3
solutions in ethanol using the Pitzer ion-interaction or virial coefficient approach. In particular, the volumetric Pitzer ion-interaction parameters (
β
MX
0
V
,
β
MX
1
V
, and
C
MX
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
p
1
to a final pressure of
p
2
. These pressure dependences have subsequently been coupled with the osmotic and activity coefficient values of ethanolic LiNO
3
solutions at atmospheric pressure obtained from the literature to yield a comprehensive set of osmotic and activity coefficients for LiNO
3
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.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10953-022-01212-9</doi><tpages>14</tpages><orcidid>https://orcid.org/0000-0003-4035-4359</orcidid></addata></record> |
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subjects | Activity coefficients Approximation Chemistry Chemistry and Materials Science Compressibility Condensed Matter Physics Ethanol Geochemistry Industrial Chemistry/Chemical Engineering Initial pressure Inorganic Chemistry Interaction parameters Lithium Mathematical analysis Molar volume Oceanography Physical Chemistry Polynomials Pressure dependence Temperature Virial coefficients |
title | Osmotic and Activity Coefficients of Lithium Nitrate in Ethanol Under High Pressures |
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