{"title":"丁醇异构体 + 邻苯二甲酸二乙酯二元混合物在 T = (293.15、303.15 和 313.15 K) 和大气压力 (0.082 MPa) 下的体积特性和折射率","authors":"Omer El-Amin Ahmed Adam","doi":"10.1016/j.jct.2024.107383","DOIUrl":null,"url":null,"abstract":"<div><p>The density (<em>ρ</em>), and refractive index (n<sub>D</sub>) of three binary mixtures containing 1-butanol, 2-butanol, and 2-methyl-2-propanol with diethyl phthalate (DEP) were studied over the whole range of composition at different temperatures from 293.15 to 313.15 K, and atmospheric pressure (0.082 MPa). Experimental data were used to calculate the excess molar volumes (<span><math><mrow><msubsup><mi>V</mi><mrow><mi>m</mi></mrow><mi>E</mi></msubsup></mrow></math></span>) and deviation in refractive indices (<span><math><mrow><mi>Δ</mi><msub><mi>n</mi><mi>D</mi></msub></mrow></math></span>). The experimental density values were used to calculate the partial molar volumes (<span><math><mrow><msub><mover><mrow><mi>V</mi></mrow><mrow><mo>¯</mo></mrow></mover><mrow><mi>m</mi><mo>,</mo><mi>i</mi></mrow></msub></mrow></math></span>), apparent molar volumes (<span><math><mrow><msub><mi>V</mi><mrow><mi>∅</mi><mo>,</mo><mi>i</mi></mrow></msub></mrow></math></span>), partial molar volumes at infinite dilution (<span><math><mrow><msubsup><mover><mrow><mi>V</mi></mrow><mrow><mo>¯</mo></mrow></mover><mrow><mi>m</mi><mo>,</mo><mi>i</mi></mrow><mi>∞</mi></msubsup></mrow></math></span>), and excess partial molar volumes (<span><math><mrow><msubsup><mover><mrow><mi>V</mi></mrow><mrow><mo>¯</mo></mrow></mover><mrow><mi>m</mi><mo>,</mo><mi>i</mi></mrow><mi>E</mi></msubsup></mrow></math></span>)<em>.</em> A Redlich-Kister type polynomial equation is used with the method of least-squares to set up a correlation between excess molar volumes and deviation in refractive indices, leading to the estimation of binary coefficients and standard errors. Theoretical refractive index values were calculated using seven relations, namely Arago–Biot (A–B), Dale–Gladstone (D–G), Lorentz–Lorenz (L–L), Heller (H), Weiner (W), Newton (Nw) and Eyring and John (E-J). This study examines how composition and temperature affect the variation of parameters in these mixtures, considering molecular interactions. Experimental data and results provide useful information for further thermodynamic studies of alcohol-ester mixtures.</p></div>","PeriodicalId":54867,"journal":{"name":"Journal of Chemical Thermodynamics","volume":"201 ","pages":"Article 107383"},"PeriodicalIF":2.2000,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Volumetric properties and refractive indices of butanol isomers + diethyl phthalate binary mixtures at T = (293.15, 303.15 and 313.15 K) and atmospheric pressure (0.082 MPa)\",\"authors\":\"Omer El-Amin Ahmed Adam\",\"doi\":\"10.1016/j.jct.2024.107383\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The density (<em>ρ</em>), and refractive index (n<sub>D</sub>) of three binary mixtures containing 1-butanol, 2-butanol, and 2-methyl-2-propanol with diethyl phthalate (DEP) were studied over the whole range of composition at different temperatures from 293.15 to 313.15 K, and atmospheric pressure (0.082 MPa). Experimental data were used to calculate the excess molar volumes (<span><math><mrow><msubsup><mi>V</mi><mrow><mi>m</mi></mrow><mi>E</mi></msubsup></mrow></math></span>) and deviation in refractive indices (<span><math><mrow><mi>Δ</mi><msub><mi>n</mi><mi>D</mi></msub></mrow></math></span>). The experimental density values were used to calculate the partial molar volumes (<span><math><mrow><msub><mover><mrow><mi>V</mi></mrow><mrow><mo>¯</mo></mrow></mover><mrow><mi>m</mi><mo>,</mo><mi>i</mi></mrow></msub></mrow></math></span>), apparent molar volumes (<span><math><mrow><msub><mi>V</mi><mrow><mi>∅</mi><mo>,</mo><mi>i</mi></mrow></msub></mrow></math></span>), partial molar volumes at infinite dilution (<span><math><mrow><msubsup><mover><mrow><mi>V</mi></mrow><mrow><mo>¯</mo></mrow></mover><mrow><mi>m</mi><mo>,</mo><mi>i</mi></mrow><mi>∞</mi></msubsup></mrow></math></span>), and excess partial molar volumes (<span><math><mrow><msubsup><mover><mrow><mi>V</mi></mrow><mrow><mo>¯</mo></mrow></mover><mrow><mi>m</mi><mo>,</mo><mi>i</mi></mrow><mi>E</mi></msubsup></mrow></math></span>)<em>.</em> A Redlich-Kister type polynomial equation is used with the method of least-squares to set up a correlation between excess molar volumes and deviation in refractive indices, leading to the estimation of binary coefficients and standard errors. Theoretical refractive index values were calculated using seven relations, namely Arago–Biot (A–B), Dale–Gladstone (D–G), Lorentz–Lorenz (L–L), Heller (H), Weiner (W), Newton (Nw) and Eyring and John (E-J). This study examines how composition and temperature affect the variation of parameters in these mixtures, considering molecular interactions. Experimental data and results provide useful information for further thermodynamic studies of alcohol-ester mixtures.</p></div>\",\"PeriodicalId\":54867,\"journal\":{\"name\":\"Journal of Chemical Thermodynamics\",\"volume\":\"201 \",\"pages\":\"Article 107383\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Chemical Thermodynamics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021961424001368\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"CHEMISTRY, PHYSICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Chemical Thermodynamics","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021961424001368","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
Volumetric properties and refractive indices of butanol isomers + diethyl phthalate binary mixtures at T = (293.15, 303.15 and 313.15 K) and atmospheric pressure (0.082 MPa)
The density (ρ), and refractive index (nD) of three binary mixtures containing 1-butanol, 2-butanol, and 2-methyl-2-propanol with diethyl phthalate (DEP) were studied over the whole range of composition at different temperatures from 293.15 to 313.15 K, and atmospheric pressure (0.082 MPa). Experimental data were used to calculate the excess molar volumes () and deviation in refractive indices (). The experimental density values were used to calculate the partial molar volumes (), apparent molar volumes (), partial molar volumes at infinite dilution (), and excess partial molar volumes (). A Redlich-Kister type polynomial equation is used with the method of least-squares to set up a correlation between excess molar volumes and deviation in refractive indices, leading to the estimation of binary coefficients and standard errors. Theoretical refractive index values were calculated using seven relations, namely Arago–Biot (A–B), Dale–Gladstone (D–G), Lorentz–Lorenz (L–L), Heller (H), Weiner (W), Newton (Nw) and Eyring and John (E-J). This study examines how composition and temperature affect the variation of parameters in these mixtures, considering molecular interactions. Experimental data and results provide useful information for further thermodynamic studies of alcohol-ester mixtures.
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