<!DOCTYPE article
PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.4 20190208//EN"
       "JATS-journalpublishing1.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" article-type="research-article" dtd-version="1.4" xml:lang="en">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">Science Evolution</journal-id>
   <journal-title-group>
    <journal-title xml:lang="en">Science Evolution</journal-title>
    <trans-title-group xml:lang="ru">
     <trans-title>Science Evolution</trans-title>
    </trans-title-group>
   </journal-title-group>
   <issn publication-format="print">2500-4239</issn>
   <issn publication-format="online">2500-1418</issn>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="publisher-id">25662</article-id>
   <article-id pub-id-type="doi">10.21603/2500-1418-2017-2-1-33-39</article-id>
   <article-categories>
    <subj-group subj-group-type="toc-heading" xml:lang="ru">
     <subject>CHEMICAL SCIENCES</subject>
    </subj-group>
    <subj-group subj-group-type="toc-heading" xml:lang="en">
     <subject>CHEMICAL SCIENCES</subject>
    </subj-group>
    <subj-group>
     <subject>CHEMICAL SCIENCES</subject>
    </subj-group>
   </article-categories>
   <title-group>
    <article-title xml:lang="en">PHASE EQUILIBRIUM IN SYSTEMS BASED ON ALIPHATIC BEBZENE HYDROCARBONS</article-title>
    <trans-title-group xml:lang="ru">
     <trans-title>PHASE EQUILIBRIUM IN SYSTEMS BASED ON ALIPHATIC BEBZENE HYDROCARBONS</trans-title>
    </trans-title-group>
   </title-group>
   <contrib-group content-type="authors">
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Denisov</surname>
       <given-names>Viktor Ya</given-names>
      </name>
      <name xml:lang="en">
       <surname>Denisov</surname>
       <given-names>Viktor Ya</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-1"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Esina</surname>
       <given-names>Zoya N</given-names>
      </name>
      <name xml:lang="en">
       <surname>Esina</surname>
       <given-names>Zoya N</given-names>
      </name>
     </name-alternatives>
     <email>ezn2@rambler.ru</email>
     <xref ref-type="aff" rid="aff-2"/>
    </contrib>
    <contrib contrib-type="author">
     <name-alternatives>
      <name xml:lang="ru">
       <surname>Korchuganova</surname>
       <given-names>Margarita R</given-names>
      </name>
      <name xml:lang="en">
       <surname>Korchuganova</surname>
       <given-names>Margarita R</given-names>
      </name>
     </name-alternatives>
     <xref ref-type="aff" rid="aff-3"/>
    </contrib>
   </contrib-group>
   <aff-alternatives id="aff-1">
    <aff>
     <institution xml:lang="ru">Kemerovo State University</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Kemerovo State University</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-2">
    <aff>
     <institution xml:lang="ru">Kemerovo State University</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">Kemerovo State University</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <aff-alternatives id="aff-3">
    <aff>
     <institution xml:lang="ru">MBNOU “City Classical Lyceum”</institution>
     <country>ru</country>
    </aff>
    <aff>
     <institution xml:lang="en">MBNOU “City Classical Lyceum”</institution>
     <country>ru</country>
    </aff>
   </aff-alternatives>
   <volume>2</volume>
   <issue>1</issue>
   <fpage>33</fpage>
   <lpage>39</lpage>
   <self-uri xlink:href="https://science-evolution.kemsu.ru/en/nauka/article/25662/view">https://science-evolution.kemsu.ru/en/nauka/article/25662/view</self-uri>
   <abstract xml:lang="ru">
    <p>The optimization of planning and realization of extraction and extractive distillation demand an in-depth qualitative and quantitative study of phase equilibria between aliphatic benzene hydrocarbons and solvents. In the chemical industry it is important to consider the properties of aliphatic benzene hydrocarbons when producing synthetic rubbers, plastics, synthetic fibers, explosive, aniline-ink and pharmaceutical substances. The results of study of physical and chemical properties of aliphatic benzene hydrocarbons can be applied in the automotive and aviation industry. The thermodynamic properties of fuel and mixtures should be studied to assistance a wider use of renewable types of fuel for motor transport. It is necessary to make a connection between the quality of fuel and the productivity of the engine. Aliphatic benzene hydrocarbons have high octane numbers therefore their presence in gasolines is quite desirable. On the other hand, their existence in diesel fuels impairs the fuel combustion process. Model PCEAS (Phase Chart Eutectic and Azeotropic Systems) allows to calculate activity coefficients and the liquid-solid and liquid-vapor equilibrium with a constant pressure on the basis of the Gibbs free energy minimization method, and also the parameters of eutectic and azeotropic points in the systems on the basis of aliphatic benzene hydrocarbons (benzene and monoalkylbenzenes with the normal alkyl chain) has been provided.</p>
   </abstract>
   <trans-abstract xml:lang="en">
    <p>The optimization of planning and realization of extraction and extractive distillation demand an in-depth qualitative and quantitative study of phase equilibria between aliphatic benzene hydrocarbons and solvents. In the chemical industry it is important to consider the properties of aliphatic benzene hydrocarbons when producing synthetic rubbers, plastics, synthetic fibers, explosive, aniline-ink and pharmaceutical substances. The results of study of physical and chemical properties of aliphatic benzene hydrocarbons can be applied in the automotive and aviation industry. The thermodynamic properties of fuel and mixtures should be studied to assistance a wider use of renewable types of fuel for motor transport. It is necessary to make a connection between the quality of fuel and the productivity of the engine. Aliphatic benzene hydrocarbons have high octane numbers therefore their presence in gasolines is quite desirable. On the other hand, their existence in diesel fuels impairs the fuel combustion process. Model PCEAS (Phase Chart Eutectic and Azeotropic Systems) allows to calculate activity coefficients and the liquid-solid and liquid-vapor equilibrium with a constant pressure on the basis of the Gibbs free energy minimization method, and also the parameters of eutectic and azeotropic points in the systems on the basis of aliphatic benzene hydrocarbons (benzene and monoalkylbenzenes with the normal alkyl chain) has been provided.</p>
   </trans-abstract>
   <kwd-group xml:lang="ru">
    <kwd>Aliphatic benzene hydrocarbons</kwd>
    <kwd>enthalpy and melting temperature</kwd>
    <kwd>enthalpy of vaporization and boiling point</kwd>
    <kwd>phase transitions liquid-solid</kwd>
    <kwd>liquid-vapor</kwd>
   </kwd-group>
   <kwd-group xml:lang="en">
    <kwd>Aliphatic benzene hydrocarbons</kwd>
    <kwd>enthalpy and melting temperature</kwd>
    <kwd>enthalpy of vaporization and boiling point</kwd>
    <kwd>phase transitions liquid-solid</kwd>
    <kwd>liquid-vapor</kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <p>Science Evolution, 2017, vol. 2, no. 138Table 5. Eutectic and azeotropic parameters in the water - aromatic hydrocarbon (benzene and monoalkylbenzenes with the normal alkyl chain) systemSystemx1eut , weight, calc.teut , °С, calc.ΔHeut , J/molek1/k2x1az , weight, calc.taz , °С, calc.ΔHaz ,J/moleτ1/τ2x1az , weight, exp. [20]taz ,°С, exp. [20]Water-Benzene 0.260 (0.604) -43.88 7560 9/8 0.090 (0.299) 68.51 33727 4.5/4 (0.296) 69.25Water-Toluene 0.047 (0.200) -103.59 6497 2/7 0.192 (0.549) 83.65 37447 1/3.5 0.202 85.00Water-Ethylbenzene 0.043 (0.210) -101.50 8494 4/15 0.310 (0.726) 91.09 39272 2/7.5 0.303 92.00Water-Propylbenzene 0.034 (0.190) -105.44 8055 2/9 0.255 (0.696) 89.95 35108 1/4.5 - -Note: The composition of the rst component in an eutectic or in an azeotrope in mole fractions is specied in brackets. For water and aromatic hydrocarbons a scheme of association in vapor which provides τ1 = k1/2, τ2 = k2/2 is taken.CONCLUSIONS AND RECOMMENDATIONSIn the PCEAS (Phase Chart Eutectic and Azeotropic Systems) program developed by the authors [13-15] the input data are the melting enthalpy and vaporization enthalpy, and also the melting point and the boiling point of pure components. The association parameter in liquid k1/k2 is determined as a result of application of the thermodynamic correlation process. For n-alcanols, n-alkanes, water and aromatic hydrocarbons (benzene and monoalkylbenzenes with the normal alkyl chain) a scheme of association in vapor which provides that τ1 = k1/2, τ2 = k2/2 is taken. The data on the solvatation parameter and parameters of association in the liquid and vapor phases are used to describe the liquid-vapor phase equilibrium. The provided PCEAS model can be used to calculate the liquid-solid and liquid-vapor equilibrium charts of the binary systems on the basis of aromatic hydrocarbons (benzene and monoalkylbenzenes with the normal alkyl chain).REFERENCES1. Moreau A., Segovia J.J., Rubio J., and Martín M.C. Thermodynamics properties, VLE and H-E, of the systems 2-pentanol and cyclohexane or methylbenzene for contributing to the knowledge of new biofuels. Fluid Phase Equilibria, 2016, vol. 409, pp. 92-97. DOI: 10.1016/j.uid.2015.09.035.2. Moreau A., Martín M.C., Chamorro C.R., and Segovia J.J. Thermodynamic characterization of second generation biofuels: Vapour-liquid equilibria and excess enthalpies of the binary mixtures 1-pentanol and cyclohexane or toluene. Fluid Phase Equilibria, 2012, vol. 317, pp. 127-131. DOI: 10.1016/j.uid.2012.01.007.3. Pequenín A., Asensi J.C., and Gomis V. Vapor-liquid-liquid equilibrium and vapor-liquid equilibrium for the quaternary system water-ethanol-cyclohexane-toluene and the ternary system water-cyclohexane-toluene. Isobaric experimental determination at 101.3 kPa. Fluid Phase Equilibria, 2011, vol. 309, iss. 1, pp. 62-67. DOI: 10.1016/j.uid.2011.06.033.4. Fendu E.M., Nicolae M., and Oprea F. Vapour-liquid equilibrium for tripropylene glycol + aromatic hydrocarbons binary systems: Measurements and modeling. Fluid Phase Equilibria, 2016, vol. 425, pp. 188-195. DOI: 10.1016/j.uid.2016.05.032.5. Rodrigues Mesquita F.M., Pinheiro R.S., Sant’Ana H.B. and Santiago-Aguiar R.S. Removal of aromatic hydrocarbons from hydrocarbon mixture using glycols at 303.15 K and 333.15 K and atmospheric pressure: experimental and calculated data by NRTL and UNIQUAC models. Fluid Phase Equilibria, 2015, vol. 387, pp. 135-142. DOI: 10.1016/j.uid.2014.12.027.6. Reid R.C., Prausnitz J.M., and Sherwood T.K. Svoystva gazov i zhidkostey [The Properties of Gases and Liquids]. New York: McGraw-Hill Education, 1977.7. Zerova N.S. Khimicheskaya entsiklopediya [Chemical encyclopedia]. Moscow: Great Russian encyclopedia Publ., 1995.8. Nikol’skiy B.P. Spravochnik khimika [A chemist’s reference book]. Leningrad: Chimiya Publ., 1966. 1072 p.9. Dreisbach P.P. Physical properties of chemical compounds. Advances in Chemistry, 1961, vol. 22, pp. 1955-1959.10. Esina Z.N. and Korchuganova M.R. Temperatura plavleniya i temperatura kipeniya organicheskikh komponentov [Melting and boiling temperatures of organic components]. Izvestiya vuzov. Khimiya i khimicheskie tekhnologii [News of institutes of higher education. Chemistry and chemical technology], 2015, vol. 58., iss. 4, pp. 26-29.11. Esina Z.N. and Korchuganova M.R. Predicting the enthalpies of melting and vaporization for pure components. Russian Journal of Physical Chemistry, 2014, vol. 88, iss. 12, pp. 1893-1899. DOI: 10.7868/S0044453714120073.12. Filippov L.P. Prognozirovanie teplozicheskikh svoystv zhidkostey i gazov [Predicting Thermal Physical Properties of Liquids and Gases]. Moscow: Energoatomizdat Publ., 1988. 168 p.13. Korchuganova M.R., Esina Z.N., and Murashkin V.V. Vozmozhnosti modeli PCEAS dlya rascheta fazovykh ravnovesiy zhidkost’-tverdoe i zhidkost’-par pri postoyannom davlenii [Opportunities of PCEAS model for calculation of phase equilibria liquid-solid and liquid-vapor at constant pressure]. Izvestiya vuzov. Seriya: Khimiya i khimicheskaya tekhnologiya [News of institutes of higher education. Series: Chemistry and chemical technology], 2014, vol. 57, no. 1, pp. 43-46.14. Esina Z.N., Murashkin V.V., and Korchuganova M.R. Fazovaya diagramma Evtekticheskaya i azeotropnaya sistema (PCEAS) [Phase Chart Eutectic and Azeotropic System (PCEAS)]. State registration certicate of an application software, no. 2012618394, 2012.15. Esina Z.N., Murashkin V.V., and Korchuganova M.R. Fazovaya diagramma Evtekticheskaya i azeotropnaya sistema (PCEAS) [Phase Chart Eutectic and Azeotropic System (PCEAS)]. State registration certicate of an application software, no. 2012620983, 2012.16. Gibbs J.V. Termodinamika. Statisticheskaya mekhanika [Thermodinamics. Statistical mechanics]. Moscow: Nauka Publ., 1982. 584 p. Science Evolution, 2017, vol. 2, no. 13917. Esina Z.N., Korchuganov M.R., and Murashkin V.V. Matematicheskoe modelirovanie fazovogo perekhoda zhidkost’-tverdoe [Mathematical simulation of phase change uid - solid]. Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel’naya tekhnika i informatika [Bulletin of the Tomsk state university. Management, computer facilities and informatics], 2011, no. 3 (16), pp 13-23.18. Esina Z.N. Matematicheskoe modelirovanie fazovykh perekhodov v real’nykh rastvorakh: Monograya [Mathematical modeling of phase transitions in real solutions: Monograph]. Kemerovo: Kemerovo state university Publ., 2011. 228 p.19. Kogan V.B. Geterogennye ravnovesiya [The heterogeneous equilibria]. Leningrad: Chimiya Publ., 1968. 432 p.20. Ogorodnikov S.K., Lesteva T.M., and Kogan V.B. Azeotropnye smesi. Spravochnik [Azeotropic mixtures. Reference book]. Leningrad: Chimiya Publ, 1971. 849 p.Viktor Ya. DenisovDr.Sci.(Chem.), Professor of Department of Organic and Physical Chemistry, Kemerovo State University, Kemerovo, Russian Federation. Zoya N. EsinaCand.Sci.(Eng.), Senior Researcher, Kemerovo State University, Kemerovo, Russian Federation. Margarita R. KorchuganovaTeacher MBNOU “City Classical Lyceum”</p>
 </body>
 <back>
  <ref-list>
   <ref id="B1">
    <label>1.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">1. Moreau A., Segovia J.J., Rubio J., and Martín M.C. Thermodynamics properties, VLE and H-E, of the systems 2-pentanol and cyclohexane or methylbenzene for contributing to the knowledge of new biofuels. Fluid Phase Equilibria, 2016, vol. 409, pp. 92-97. DOI: 10.1016/j.fluid.2015.09.035.</mixed-citation>
     <mixed-citation xml:lang="en">1. Moreau A., Segovia J.J., Rubio J., and Martín M.C. Thermodynamics properties, VLE and H-E, of the systems 2-pentanol and cyclohexane or methylbenzene for contributing to the knowledge of new biofuels. Fluid Phase Equilibria, 2016, vol. 409, pp. 92-97. DOI: 10.1016/j.fluid.2015.09.035.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B2">
    <label>2.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">2. Moreau A., Martín M.C., Chamorro C.R., and Segovia J.J. Thermodynamic characterization of second generation biofuels: Vapour-liquid equilibria and excess enthalpies of the binary mixtures 1-pentanol and cyclohexane or toluene. Fluid Phase Equilibria, 2012, vol. 317, pp. 127-131. DOI: 10.1016/j.fluid.2012.01.007.</mixed-citation>
     <mixed-citation xml:lang="en">2. Moreau A., Martín M.C., Chamorro C.R., and Segovia J.J. Thermodynamic characterization of second generation biofuels: Vapour-liquid equilibria and excess enthalpies of the binary mixtures 1-pentanol and cyclohexane or toluene. Fluid Phase Equilibria, 2012, vol. 317, pp. 127-131. DOI: 10.1016/j.fluid.2012.01.007.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B3">
    <label>3.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">3. Pequenín A., Asensi J.C., and Gomis V. Vapor-liquid-liquid equilibrium and vapor-liquid equilibrium for the quaternary system water-ethanol-cyclohexane-toluene and the ternary system water-cyclohexane-toluene. Isobaric experimental determination at 101.3 kPa. Fluid Phase Equilibria, 2011, vol. 309, iss. 1, pp. 62-67. DOI: 10.1016/j.fluid.2011.06.033.</mixed-citation>
     <mixed-citation xml:lang="en">3. Pequenín A., Asensi J.C., and Gomis V. Vapor-liquid-liquid equilibrium and vapor-liquid equilibrium for the quaternary system water-ethanol-cyclohexane-toluene and the ternary system water-cyclohexane-toluene. Isobaric experimental determination at 101.3 kPa. Fluid Phase Equilibria, 2011, vol. 309, iss. 1, pp. 62-67. DOI: 10.1016/j.fluid.2011.06.033.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B4">
    <label>4.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">4. Fendu E.M., Nicolae M., and Oprea F. Vapour-liquid equilibrium for tripropylene glycol + aromatic hydrocarbons binary systems: Measurements and modeling. Fluid Phase Equilibria, 2016, vol. 425, pp. 188-195. DOI: 10.1016/j.fluid.2016.05.032.</mixed-citation>
     <mixed-citation xml:lang="en">4. Fendu E.M., Nicolae M., and Oprea F. Vapour-liquid equilibrium for tripropylene glycol + aromatic hydrocarbons binary systems: Measurements and modeling. Fluid Phase Equilibria, 2016, vol. 425, pp. 188-195. DOI: 10.1016/j.fluid.2016.05.032.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B5">
    <label>5.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">5. Rodrigues Mesquita F.M., Pinheiro R.S., Sant’Ana H.B. and Santiago-Aguiar R.S. Removal of aromatic hydrocarbons from hydrocarbon mixture using glycols at 303.15 K and 333.15 K and atmospheric pressure: experimental and calculated data by NRTL and UNIQUAC models. Fluid Phase Equilibria, 2015, vol. 387, pp. 135-142. DOI: 10.1016/j.fluid.2014.12.027.</mixed-citation>
     <mixed-citation xml:lang="en">5. Rodrigues Mesquita F.M., Pinheiro R.S., Sant’Ana H.B. and Santiago-Aguiar R.S. Removal of aromatic hydrocarbons from hydrocarbon mixture using glycols at 303.15 K and 333.15 K and atmospheric pressure: experimental and calculated data by NRTL and UNIQUAC models. Fluid Phase Equilibria, 2015, vol. 387, pp. 135-142. DOI: 10.1016/j.fluid.2014.12.027.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B6">
    <label>6.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">6. Reid R.C., Prausnitz J.M., and Sherwood T.K. Svoystva gazov i zhidkostey [The Properties of Gases and Liquids]. New York: McGraw-Hill Education, 1977.</mixed-citation>
     <mixed-citation xml:lang="en">6. Reid R.C., Prausnitz J.M., and Sherwood T.K. Svoystva gazov i zhidkostey [The Properties of Gases and Liquids]. New York: McGraw-Hill Education, 1977.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B7">
    <label>7.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">7. Zefirova N.S. Khimicheskaya entsiklopediya [Chemical encyclopedia]. Moscow: Great Russian encyclopedia Publ., 1995.</mixed-citation>
     <mixed-citation xml:lang="en">7. Zefirova N.S. Khimicheskaya entsiklopediya [Chemical encyclopedia]. Moscow: Great Russian encyclopedia Publ., 1995.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B8">
    <label>8.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">8. Nikol’skiy B.P. Spravochnik khimika [A chemist’s reference book]. Leningrad: Chimiya Publ., 1966. 1072 p.</mixed-citation>
     <mixed-citation xml:lang="en">8. Nikol’skiy B.P. Spravochnik khimika [A chemist’s reference book]. Leningrad: Chimiya Publ., 1966. 1072 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B9">
    <label>9.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">9. Dreisbach P.P. Physical properties of chemical compounds. Advances in Chemistry, 1961, vol. 22, pp. 1955-1959.</mixed-citation>
     <mixed-citation xml:lang="en">9. Dreisbach P.P. Physical properties of chemical compounds. Advances in Chemistry, 1961, vol. 22, pp. 1955-1959.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B10">
    <label>10.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">10. Esina Z.N. and Korchuganova M.R. Temperatura plavleniya i temperatura kipeniya organicheskikh komponentov [Melting and boiling temperatures of organic components]. Izvestiya vuzov. Khimiya i khimicheskie tekhnologii [News of institutes of higher education. Chemistry and chemical technology], 2015, vol. 58., iss. 4, pp. 26-29.</mixed-citation>
     <mixed-citation xml:lang="en">10. Esina Z.N. and Korchuganova M.R. Temperatura plavleniya i temperatura kipeniya organicheskikh komponentov [Melting and boiling temperatures of organic components]. Izvestiya vuzov. Khimiya i khimicheskie tekhnologii [News of institutes of higher education. Chemistry and chemical technology], 2015, vol. 58., iss. 4, pp. 26-29.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B11">
    <label>11.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">11. Esina Z.N. and Korchuganova M.R. Predicting the enthalpies of melting and vaporization for pure components. Russian Journal of Physical Chemistry, 2014, vol. 88, iss. 12, pp. 1893-1899. DOI: 10.7868/S0044453714120073.</mixed-citation>
     <mixed-citation xml:lang="en">11. Esina Z.N. and Korchuganova M.R. Predicting the enthalpies of melting and vaporization for pure components. Russian Journal of Physical Chemistry, 2014, vol. 88, iss. 12, pp. 1893-1899. DOI: 10.7868/S0044453714120073.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B12">
    <label>12.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">12. Filippov L.P. Prognozirovanie teplofizicheskikh svoystv zhidkostey i gazov [Predicting Thermal Physical Properties of Liquids and Gases]. Moscow: Energoatomizdat Publ., 1988. 168 p.</mixed-citation>
     <mixed-citation xml:lang="en">12. Filippov L.P. Prognozirovanie teplofizicheskikh svoystv zhidkostey i gazov [Predicting Thermal Physical Properties of Liquids and Gases]. Moscow: Energoatomizdat Publ., 1988. 168 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B13">
    <label>13.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">13. Korchuganova M.R., Esina Z.N., and Murashkin V.V. Vozmozhnosti modeli PCEAS dlya rascheta fazovykh ravnovesiy zhidkost’-tverdoe i zhidkost’-par pri postoyannom davlenii [Opportunities of PCEAS model for calculation of phase equilibria liquid-solid and liquid-vapor at constant pressure]. Izvestiya vuzov. Seriya: Khimiya i khimicheskaya tekhnologiya [News of institutes of higher education. Series: Chemistry and chemical technology], 2014, vol. 57, no. 1, pp. 43-46.</mixed-citation>
     <mixed-citation xml:lang="en">13. Korchuganova M.R., Esina Z.N., and Murashkin V.V. Vozmozhnosti modeli PCEAS dlya rascheta fazovykh ravnovesiy zhidkost’-tverdoe i zhidkost’-par pri postoyannom davlenii [Opportunities of PCEAS model for calculation of phase equilibria liquid-solid and liquid-vapor at constant pressure]. Izvestiya vuzov. Seriya: Khimiya i khimicheskaya tekhnologiya [News of institutes of higher education. Series: Chemistry and chemical technology], 2014, vol. 57, no. 1, pp. 43-46.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B14">
    <label>14.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">14. Esina Z.N., Murashkin V.V., and Korchuganova M.R. Fazovaya diagramma Evtekticheskaya i azeotropnaya sistema (PCEAS) [Phase Chart Eutectic and Azeotropic System (PCEAS)]. State registration certificate of an application software, no. 2012618394, 2012.</mixed-citation>
     <mixed-citation xml:lang="en">14. Esina Z.N., Murashkin V.V., and Korchuganova M.R. Fazovaya diagramma Evtekticheskaya i azeotropnaya sistema (PCEAS) [Phase Chart Eutectic and Azeotropic System (PCEAS)]. State registration certificate of an application software, no. 2012618394, 2012.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B15">
    <label>15.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">15. Esina Z.N., Murashkin V.V., and Korchuganova M.R. Fazovaya diagramma Evtekticheskaya i azeotropnaya sistema (PCEAS) [Phase Chart Eutectic and Azeotropic System (PCEAS)]. State registration certificate of an application software, no. 2012620983, 2012.</mixed-citation>
     <mixed-citation xml:lang="en">15. Esina Z.N., Murashkin V.V., and Korchuganova M.R. Fazovaya diagramma Evtekticheskaya i azeotropnaya sistema (PCEAS) [Phase Chart Eutectic and Azeotropic System (PCEAS)]. State registration certificate of an application software, no. 2012620983, 2012.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B16">
    <label>16.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">16. Gibbs J.V. Termodinamika. Statisticheskaya mekhanika [Thermodinamics. Statistical mechanics]. Moscow: Nauka Publ., 1982. 584 p.</mixed-citation>
     <mixed-citation xml:lang="en">16. Gibbs J.V. Termodinamika. Statisticheskaya mekhanika [Thermodinamics. Statistical mechanics]. Moscow: Nauka Publ., 1982. 584 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B17">
    <label>17.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">17. Esina Z.N., Korchuganov M.R., and Murashkin V.V. Matematicheskoe modelirovanie fazovogo perekhoda zhidkost’-tverdoe [Mathematical simulation of phase change fluid - solid]. Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel’naya tekhnika i informatika [Bulletin of the Tomsk state university. Management, computer facilities and informatics], 2011, no. 3 (16), pp 13-23.</mixed-citation>
     <mixed-citation xml:lang="en">17. Esina Z.N., Korchuganov M.R., and Murashkin V.V. Matematicheskoe modelirovanie fazovogo perekhoda zhidkost’-tverdoe [Mathematical simulation of phase change fluid - solid]. Vestnik Tomskogo gosudarstvennogo universiteta. Upravlenie, vychislitel’naya tekhnika i informatika [Bulletin of the Tomsk state university. Management, computer facilities and informatics], 2011, no. 3 (16), pp 13-23.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B18">
    <label>18.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">18. Esina Z.N. Matematicheskoe modelirovanie fazovykh perekhodov v real’nykh rastvorakh: Monografiya [Mathematical modeling of phase transitions in real solutions: Monograph]. Kemerovo: Kemerovo state university Publ., 2011. 228 p.</mixed-citation>
     <mixed-citation xml:lang="en">18. Esina Z.N. Matematicheskoe modelirovanie fazovykh perekhodov v real’nykh rastvorakh: Monografiya [Mathematical modeling of phase transitions in real solutions: Monograph]. Kemerovo: Kemerovo state university Publ., 2011. 228 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B19">
    <label>19.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">19. Kogan V.B. Geterogennye ravnovesiya [The heterogeneous equilibria]. Leningrad: Chimiya Publ., 1968. 432 p.</mixed-citation>
     <mixed-citation xml:lang="en">19. Kogan V.B. Geterogennye ravnovesiya [The heterogeneous equilibria]. Leningrad: Chimiya Publ., 1968. 432 p.</mixed-citation>
    </citation-alternatives>
   </ref>
   <ref id="B20">
    <label>20.</label>
    <citation-alternatives>
     <mixed-citation xml:lang="ru">20. Ogorodnikov S.K., Lesteva T.M., and Kogan V.B. Azeotropnye smesi. Spravochnik [Azeotropic mixtures. Reference book]. Leningrad: Chimiya Publ, 1971. 849 p.</mixed-citation>
     <mixed-citation xml:lang="en">20. Ogorodnikov S.K., Lesteva T.M., and Kogan V.B. Azeotropnye smesi. Spravochnik [Azeotropic mixtures. Reference book]. Leningrad: Chimiya Publ, 1971. 849 p.</mixed-citation>
    </citation-alternatives>
   </ref>
  </ref-list>
 </back>
</article>
