Selectivities at infinite dilution of xylene isomers in ionic liquids

Selectivities at infinite dilution of xylene isomers in ionic liquids

Accepted Manuscript Title: Selectivities at infinite dilution of xylene isomers in ionic liquids Author: Li-Sheng Wang Xue-Yuan Wang PII: DOI: Referen...

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Accepted Manuscript Title: Selectivities at infinite dilution of xylene isomers in ionic liquids Author: Li-Sheng Wang Xue-Yuan Wang PII: DOI: Reference:

S0378-3812(14)00236-2 http://dx.doi.org/doi:10.1016/j.fluid.2014.04.016 FLUID 10077

To appear in:

Fluid Phase Equilibria

Received date: Revised date: Accepted date:

12-11-2013 12-4-2014 16-4-2014

Please cite this article as: L.-S. Wang, X.-Y. Wang, Selectivities at infinite dilution of xylene isomers in ionic liquids, Fluid Phase Equilibria (2014), http://dx.doi.org/10.1016/j.fluid.2014.04.016 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

*Revised Manuscript

Selectivities at infinite dilution of xylene isomers in ionic liquids

Li-Sheng Wang,* Xue-Yuan Wang School of Chemical Engineering & the Environment, Beijing Institute of Technology, Beijing 100081, China

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Abstract: A database on activity coefficients of organic solutes at infinite dilution in ILs was collected from literature sources. The activity coefficient model with the combinatorial term

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represented by the Kikic et al. was used as a modification to Flory’s equation. The activity coefficients had been used to correlate the solubility parameter of ionic liquids. The obtained

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solubility parameters of ionic liquids had been further correlated based on a concept of the group contribution method. Through the analysis of the database and the prediction results of

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selectivities at infinite dilution of xylene isomers, we showed that higher selectivity can be

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achieved by using ILs as working solvents for separation of xylene isomer mixtures.

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1. Introduction

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Keywords: activity coefficient, ionic liquid, selectivity, xylene isomers.

In the petrochemical industry, the separation of xylene isomers is of significant importance for production of chemicals such as terephthalic, phthalic, and isophthalic acids. Because of the close boiling points of these isomers, it is impractical to separate them by distillation. Processes

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based on zeolitic adsorption have been developed. Room temperature ionic liquids (ILs) can be designed to special task and have been applied as replacement for conventional toxic, flammable and volatile organic solvents in the development of new separation process.1-4 The common organic solvents are remarkable similar in a relatively narrow liquidus region. They are all relatively volatile and easily becoming emissions into the atmosphere at the process conditions. The emissions of VOC have been linked to global climate change and human illness. It is the aim of chemical engineers to reduce the emissions of VOCs, and to find a new class of “green” solvents. In the direction of developing an efficient and environmentally benign chemical process, many scientists have concentrated their 1

Page 1 of 36

research activities using ILs as green solvents, because not only ILs have essentially no vapor pressure, and they do not evaporate, and so they cannot lead to fugitive emissions, but also they act much like good organic solvents, dissolving both polar and nonpolar species. An important example is the innovative application of ILs as working solvents in supported liquid membrane (SILM) for the separation gas mixtures conducted by vapor pervaporization.5 In the SILM

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technology, an ionic liquid can be impregnated in the pore in polymer support or hollow fiber module, the capability of ILs to separate solutes mixtures depends on the selectivity of the

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solutes in ILs.

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The major driving force for selective separation of xylene isomer gas mixture by SILM is the solubility difference between these isomers in ionic liquid. Selectivity (Sij) can be calculated from the ratio of solubilities of the two solutes in one solvent. We have experimental

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demonstrated that even though these xylene isomers have close boiling points, their solubilities in an ionic liquid can be evidently different.6 A separation factor, selectivity of the solutes at

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infinite dilution in an ionic liquid, can be calculated from the ratio of activity coefficients at infinite dilution (Sij∞, defined according to the equation: Sij∞ =γis∞/γjs∞, where subscript s denotes

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solvent).

Activity coefficients at infinite dilution of different organic solutes in ILs can be determined

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with an ionic liquid as the stationary phase using gas-liquid chromatography.7,8 In this work, we continue our research to establish a database of activity coefficient at infinite dilution of organic solutes in ILs from the open literatures.9 It is clear to find out from this database that how the

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change of cations and anions affects the γi∞ and Sij∞ values. Based on the database, an activity coefficient model for regular solutions has been applied and developed. The objective of this paper is to predict the solubility parameter for the activity coefficient model for the ILs and to predict the selectivities when the activity coefficient data for xylene isomers/other solutes are not available. Through the analysis of the database and the predicted Sij∞ values and taking the advantage of ionic liquids as designable solvents, we will discuss the possibility for the further application of ILs in SILM technology for xylene isomer separation.

2

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2. Classification of ILs and database

To correlate the activity coefficients with a wide range representation of organic solutes and ILs, we need to build a database. Cations and anions were separated and then numbered by an ID code respectively. In our previously paper we published a database of activity coefficients of

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organic solutes at infinite dilution in ILs from literature sources.9 In this work, the database have

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been extended to include most of the recently published data of ionic liquids (as listed in Appendix) and from which 50 kinds of cations and 29 kinds of anions can be extracted and they

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were listed in Table 1, as well as their abbreviations, chemical names, formulas, and molecular

3.1. Correlation with Flory’s equation

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3. Correlation of activity coefficients

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weights.

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The activity coefficients at infinite dilution of different solutes in a given solvent can be used to estimate solubility parameters of the solvents when the solubility parameters of these

ce pt

solutes are known. This method provides a basis for the correlation of the activity coefficients at infinite dilution of solutes in ILs. The activity coefficient model can be represented by a two-term equation in which the combinatorial term can be represented by the Kikic et al. 10

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modification to Flory’s equation, and the residual term is given by the regular solution theory:

ln  i  ln  icomb  ln  ires

ln  icomb  ln(ri / rs )2/ 3  1  (ri / rs )2/ 3 ln  ires  (vi / RT )( i   s )2

(1) (2) (3)

Where ri and rs are the van der Waals volumes of solute and solvent, respectively; vi is the solute molar volume; δi and δs are solubility parameters of solute and solvent, respectively. The solubility parameter of ILs can be correlated from the experimental γ∞ data. A residual function Y can be rearranged from Eq. 3 according to literature11

3

Page 3 of 36

Yi  

ln  ires  i 2 2 s 2   i  s vi RT RT RT

(4)

This equation shows that there is a linear relation between Yi and the solute solubility parameter δi for a given solvent and temperature T. The value of the solvent (i.e., ionic liquid) solubility parameter δs can be obtained from the slope of this line. The values of experimental γ∞

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were taken from the database. The values of ln γ∞comb were calculated by Eq. 2. According to Eq.

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1, with the ln  i known (by experimental data), the value of ln  ires can be calculated, and finally the values of Yi for different solutes in an ionic liquid were calculated according to Eq. 4.

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Information on vi, δi, and ri were obtained from the literature.12 The van der Waals volumes of ILs were calculated by group contribution method.13 The dependence between Yi and δi (δi =

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δsolute) can thus be plotted for different solutes with a specified ionic liquid and high accuracy of the linear correlation which was displayed by Fig. 1. The solubility parameters (δs) of 26 ionic

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liquids calculated by this procedure were published in our previously paper.9 More solubility parameters of 33 ionic liquids obtained in this work were listed in Table 2 (the data sources for the correlation were listed in Table A1 in Appendix). Some of the results of van der Waals

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volumes of ionic liquids were listed in Table 3.

3.2. Group contribution of the solubility parameters

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From the idea that the total cohesive energy of a molecule is the sum of the individual cohesive energies (molar attraction constants) associated with each constituent group on the molecule, the solubility parameters of ionic liquids can be determined based on a group

Ac

contribution method.14 This method also assumes that molar attraction constants are considered constant regardless of the surrounding chemical environment. The following expression can be used to calculate the solubility parameter δs of an ionic liquid:

s 

F j

vs

j

(5)

In Eq. 5, subscript s represents the solvent, j represents each substitute chemical group, F is the molar attraction constant of chemical group j, and vs is the molar volume of the solvent. With the solubility parameters of the ionic liquid known, F can be obtained for the sub-group j. The classification of the structure of an ionic liquid is shown with 1-R1-3-R2-imidazolium 4

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tetrafluoroborate as example, as shown in Fig. 2, in which the cationic imidazolium ring and tetrafluoroborate cation are defined together as one neutral group (ionic functional group, IFG), while the substitute R1 and R2 on the ring can be separated into methyl, methylene, etc. Molar attraction constants of several organic functional groups relevant to this study were taken from literature.15 Values for the IFG of ILs classified according to Fig. 2 were estimated from the

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values of solubility parameter using group contribution method, and the results of the FIFG values

cr

were summarized in Table 4.

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4. Selectivities of xylene isomers in ILs: results and discussions

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4.1. The results of analysis for the selectivity from the experimental data

In petrochemical industry, the development of production technology of terephthalic,

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phthalic, and isophthalic acids are mainly limited by the separation technology of xylene isomers. Up to now, the researches for the separation of para-xylene from its bulkier meta- and orthoisomers by zeolite membrances via vapor permeation were successful,16,17 and satisfactory

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permselectivities were obtained. However, from a point of view of petrochemical production, the results for the separation of meta-xylene from its para- and ortho- isomer mixtures were not

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successful by using the same technique because the limit by the kinetic diameter.18 In a SILM apparatus, the separation factor depends on the difference in solubilities of the isomers in ionic liquid, but not on the boiling points. Therefore, the isomer mixture can be

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theoretical separated by using SILM technology. Using the database and the group contribution activity coefficient model developed in this work, we can analyze the structure-property relationship for ILs, especially for the effect of molecular structure on the selectivity of the xylene isomers in the ionic liquid. The results of analysis for the selectivity from the experimental data19-35 of activity coefficients at infinite dilution of xylene isomers in ionic liquids calculated in this work were o

listed in Table 5. Because the kinetic diameters of both meta- and ortho- xylene equal to 6.8 A , it seems not possible to separate them with a zeolite membrance. From Table 5, it can be seen that the highest selectivity is obtained by using [MAOOMIM]Br to separate meta-xylene (1) and 5

Page 5 of 36

ortho-xylene (2), the result is S12 =2.070. Compared with the results of [C8MIM]Cl in Table 5, the introduction of an ester group improves selectivity greatly. 4.2. The prediction results: effect of alkyl chain of cations of ILs on the selectivity The γi∞ value and selectivity can also be calculated using the group contribution activity

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coefficient model correlated in this work. To explore the effect of carbon number in alkyl chain of cations on the selectivity, we calculated the solubility parameters, activity coefficients based

cr

on the group contribution activity coefficient model, and the results of solubility parameters for ionic liquids ([CnAOOMIM][Br], [CnMIM][CH3SO3], [CnMIM][SCN] and [CnMPYR][SCN])

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were listed in Table 6.

Table 7 lists the prediction results at 313.15 K for the selectivity of [RAOOMIM][Br] for

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meta- and ortho- xylene, in which the R represents alkyl chain. With the increase of alkyl chain length, the selectivity decreases.

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Table 8 lists the prediction results of selectivity of para-xylene /ortho-xylene in ionic liquids. From Table 8 it can be seen that the selectivity of para-xylene /ortho-xylene in different

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type of ionic liquids can be increased with the reduction of carbon number in alkyl chain (the Cn groups) of cations.

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Fig. 3 shows the selectivity of the meta-xylene (1)/ortho-xylene (2), and para-xylene(1) /ortho-xylene (2) in ionic liquids [MAOOCnMIM][TCB]. From Fig. 3 it can be seen that the selectivity of meta-xylene/ortho-xylene and para-xylene/ortho-xylene in ionic liquids [MAOCnMIM] [TCB] can be increased with the reduction of carbon number in alkyl chain (the

Ac

Cn groups) of cations. Satisfactory results of [MAOOC1MIM][TCB] obtained at 333.15 K were 1.802 and 2.548, respectively. From the results of Tables 6 – 8 and Fig.3, it can be summarized that with the increase of alkyl chain length of cation of ionic liquids, their selectivity for xylene isomers will decrease. It is reasonable because the homogeneous of two different ionic liquids will be increased with the increase of alkyl chain of cations. 4.3. Prediction results: effect of anions of ILs on the selectivity Table 9 lists the predicted selectivities S12∞ of aromatic (1)/aromatic (2) hydrocarbon at infinite

dilution

in

the

ionic

liquids

when

the

cation

[MAOOMIM] 6

Page 6 of 36

(1-methacryloyloxyhexyl-1-methylimidazolium) combines with eight different anions, i.e., [NTf2], [SCN], [NO3], [MDEGSO4], [TCB], [MeSO4], [OSO4], [(CH3)2PO4].

From Table 9, it can be seen that the selectivity in ionic liquids can be changed by the choice of anions. In addition, it can be seen that the highest selectivity ( S12 =1.377) was obtained

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by using [TCB], the result was not better than the result ( S12 =2.070) by using [MAOOMIM]Br (as listed in Table 5) to separate meta-xylene (1) and ortho-xylene (2). Pal et al. demonstrated the

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blue-shifting measurement from FTIR for the cation [C4mim] with different anions in ethylene glycol.36 They indicated that very weaker interactions between [C4mim]+ and Br  ,which were

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even weaker than interactions between [C8OSO3]  and [C4mim]+. The magnitude of interaction for these ionic liquids with xylenes is more for [TCB]  as compared to Br  anion,

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it implies that weaker interaction between ionic liquid and xylene isomers will be more sensitive for the selectivity.

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Satisfactory selectivities were obtained for [MAOOMIM][TCB], the results with comparison for different mixtures were: for meta-xylene (1) /ortho-xylene (2), S12 =1.377; for

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para-xylene (1)/ortho-xylene (2), S12 =1.690) and for para-xylene (1)/ meta-xylene (2),

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S12 =1.227. The above results showed that it is possible to use only one ionic liquid as working solvent to separate these three isomers.

4.4. Uncertainty of the prediction results

Equation 4 provides a way to calculate the solubility parameter of an ionic liquid from the

Ac

slope of the equation based on the activity coefficient data at infinite dilution. The solubility parameter can also be computed from the intercept of

Eq. 4. In our previously

paper (literature: Feng et al.,21 see Table 5 of Feng el al.), we compared the solubility parameter

 of an ionic liquid when values of  were correlated from the slope, or from the intercept. We calculated the values of  at different temperatures, the results indicated that  would approach a constant in the range of temperature studied. The average value of  at different temperatures was more close to the results from slope, than from the intercept. To correlate the solubility parameters, the average uncertainty for the activity coefficients based on the linear relation of Eq. 4 were less than 5%. The results calculated from the group 7

Page 7 of 36

contribution (Eq. 5) for the solubility parameter were compared with the values directly from the slope. The uncertainty is within 2%. Moreover, the prediction results of selectivities based the obtained solubility parameters of this work and the activity coefficient model (Eq. 1) were compared with the results of selectivity data directly derived from the experimental data, and the

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results were satisfactory. Average deviations were less than 5%.

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5. Conclusion

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The activity coefficients at infinite dilution of xylene in ionic liquids can be used to study their selectivity. The establishment of the database will promote the application of ionic liquids

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in the design of separation process. In this work, we established a database and found that ILs showed good selectivity for these separation problems. The activity coefficients can be

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represented by the regular solution theory. In this paper, the activity coefficients at infinite dilution data of different organic solutes in a given solvent have been used to estimate the solubility parameter of ionic liquids. The solubility parameters of ionic liquids have been

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correlated based on a concept of group contribution. This paper shows that based on the designable nature of ILs, there is a significant potential for exploiting how the variation of

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substitute, cation and anion influences the solubility of the xylene isomers in ILs. A traditional measurement method for the activity coefficient of solutes at infinite dilutions with an ionic liquid as the stationary phase using GLC and a classical thermodynamic model can be used to

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analyze this possibility. By a combination of ILs with supported liquid membrane technology, the restriction from thermodynamic and dynamic diameter can be eliminated. The effectiveness of SILM process relies on the permeabilities of the solutes in the liquid membrane as well. Most probably, there are some differences in diffusivities between different xylene isomers in an ionic liquid. In this case, the selectivity of ionic liquid for the isomers will be strengthened. Further work should be done in this area, to measure the molecular diffusion and viscosity of the xylene isomers with ionic liquids. The results of this paper provide a basis for the selection of ionic liquids towards this purpose. *To whom correspondence should be addressed. E-mail: [email protected] 8

Page 8 of 36

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cr

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ed

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[11] G.M. Foco, S.B. Bottini, N. Quezada, J.C. Fuente, C.J. Peters, J. Chem. Eng. Data, 51 (2006)

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[14] T.K. Carlisle, J.E. Bara, R.D. Noble, C.J. Gabriel, D.L. Gin, Ind. Eng. Chem. Res., 47 (2008) 7005-7012.

[15] J. Brandrup, E.H. Immergut, E.A.Grulke, Polymer handbook, 4th ed., Wiley, New York, 1999. [16] G. Xomeritakis, Z. Lai, M. Tsapatsis, Ind. Eng. Chem. Res., 40 (2001) 544-552. [17] T.Y.Yan, Ind. Eng. Chem. Res., 28 (1989) 572-576. o

o

[18] Kinetic diameter para-xylene = 5.8 A ; kinetic diameter meta- and ortho- xylene = 6.8 A . [19] F. Mutelet, J.N. Jaubert, M. Rogalski, J. Phys. Chem. B., 112 (2008) 3773-3785. 9

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[20] F. Mutelet, V. Butet, J. N. Jaubert, Ind. Eng. Chem. Res., 44 (2005) 4120-4127. [21] Y.X. Feng, L.S. Wang, Y. Li, J. Chem. Eng. Data, 56 (2011) 2730-2736. [22] K. Jiang, L.S. Wang, X.X. Wang, Ind. Eng. Chem. Res., 51 (2012) 12479-12487. [23] L.N. Ma, W.R Ji, J.B. Ji, J. Chem. Eng. Chin. Univ., 22 (2008) 547-552. [24] U. Domanska, M. Krolikowski, J. Chem.Thermodyn., 54 (2012) 20-27.

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cr

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[48] Y. Li, L.S. Wang, M.Y. Li, J. Chem. Eng. Data, 56 (2011) 1704-1708. [49] A. Bondi, Physical Properties of Molecular Crystals, Liquids and Glasses. New York: Wiley, 1968.

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cr

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Appendix Table A1

11

Page 11 of 36

Table 1 Cations and anions of the ionic liquids included in the database. ID

Abbreviation

Name

M/g·mol −1

Formula

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Anions Cl

chloride

Cl

2

Br

bromide

Br

3

BF4

tetrafluoroborate

BF4

86.80

4

PF6

hexafluorophosphate

PF6

144.96

5

TfO

trifluoromethanesulfonate

CF3SO3

149.07

6

NTf2

bis(trifluoromethylsulfonyl)imide

8

ESO4

9

OSO4

M0SO4

11

E0SO4

12

TOS

M

an

us

79.90

O F3C S O

280.16

O

N S CF3 O

CH3SO4

111.10

ethylsulfate

C2H5SO4

125.12

octylsulfate

C8H17SO4

209.28

methoxyethylsulfate

Ac

10

methylsulfate

ed

MeSO4

ce pt

7

35.45

cr

1

CH3O C2H5SO4

ethoxyethylsulfate

156.16

170.16 C2H5O C2H5SO4

tosylate

171.20 SO3H

13

MDEGSO4

diethyleneglycolmonomethylethersulfate

O O

O SO3

199.20

12

Page 12 of 36

14

(CH3)2PO4

dimethylphosphate

125.04 O H 3C O P O CH3 O

15

FAP

tris(pentafluoroethyl) trifluorophosphate

F

F C2F5

445.01 C2F 5

P

F

NO3

nitrate

NO3

62.00

17

N(CN)2

dicyanamide

C2N3

66.04

18

CF3COO

trifluoroacetate

C2F3O2

19

SCN

thiocyanate

SCN

20

CoBr4

tetrabromidocobaltate(ii)

CoBr4

21

FeCl4

tetrachloridoferrate(iii)

22

(C8H17)2PO2

bis- (2,4,4-trimethylpentyl) -phosphinate

TCB

DBP 26

27

cr

us

378.55

an M

dibutylphosphate

diethylphosphate

Ac

DEP

methanesulfonate

ce pt

25

58.08

197.66

289.41

O C8 H17

C8 H17

P

O

tetracyanoborate

24 CH3SO3

113.02

FeCl4

ed

23

ip t

16

SbF6

hexafluoroantimonate

TS

thiosalicylate

114.88 B(CN)4 95.1 CH3SO3 209.21

O C4 H9

O

P

O

C4H9

O

153.1

O C 2H 5 O P O C 2H 5 O

235.75 SbF6

28

153.18

HS O O

29

O

BOB

bis(oxalato)borate

O B O O O

O

122.85

O

O

31

C1MIM

1-methyl-3-methylimidazolium

97.14

N

N

13

Page 13 of 36

32

33

34

C2MIM

C4MIM

C6MIM

1-ethyl-3-methylimidazolium

N

N

N

N

111.15

C2H5

1-butyl-3-methylimidazolium

139.21

C4H9

1-hexyl-3-methylimidazolium

167.27

N NC H 6 13 C8MIM

1-octyl-3-methylimidazolium

195.33

N

N C10MIM

1-decyl-3-methylimidazolium

223.38

N

N C16MIM

1-hexadecyl-3-methylimidazolium

307.54

N

N

38

M4B-PY

C10H21

us

37

C8H17

cr

36

ip t

35

4-methyl-n-butylpyridinium

C16H33 150.24

42

43

44

45

46

HydEMIM

BMPYR

HMPYR

OMPYR

PPeMIM

PPeOIM

M

C6H13

C6H13

P

139.22 N

N C H 3 7

1-(2-hydroxyethyl)-3-methylimidazolium

127.16

N

N C H OH 2 4

1-butyl-1-methyl-pyrrolidinium

142.25 C4H9

N

1-hexyl-1-methyl-pyrrolidinium N

C6H13

1-octyl-1-methyl-pyrrolidinium N

198.37

N

1-propenyl-3-octylimidazolium

221.36

N

1-propenyl-3-decylimidazolium

249.41 C10H21

PPeDoIM

170.31

123.18 N

N

48

C8H17

1-propenyl-3-methylimidazolium

C8H17 PPeDeIM

483.86

C6H13

N 47

C14H29

1-propyl-2,3-dimethylimidazolium

ed

41

PDMIM

trihexyl(tetradecyl)-phosphonium

ce pt

40

THTD-P

Ac

39

an

N C4H9

N

1-propenyl-3-dodecylimidazolium

277.47 N C12H25

N

14

Page 14 of 36

49

PBAMIM

1-propyl boronicacid-3-methylimidazolium

141.00

(HO)2BC3H6 50

PBAOIM

N

N

1-propyl boronicacid-3-octylimidazolium

239.18 N

N

C8H17

(HO)2BC3H6

51

PBADeIM

1-propyl boronicacid-3-decylimidazolium

267.24

N

N

C10H21

(HO)2BC3H6

PBADoIM

1-propyl boronicacid-3-dodecylimidazolium

N

N

C12H25

(HO)2BC3H6

MAOOMIM

1-methacryloyloxyhexyl-1-methylimidazolium

251.39

N

N

(CH2)6O

cr

53

295.29

ip t

52

O

54

AOOMIM

1-acryloyloxypropyl-1-methylimidazolium

197.21

58

59

60

61

DMEIM

1,2-dimethyl-3- ethyl-imidazolium

C2PY

Me3BuN

P

C4H9

C4H9

80.11 NH+

128.22

N

N

C2H5 108.16

N+

C2H5

136.21 N+ C H 4 9

n-amylpyridinium

150.24 N+

triethylsulphonium

63

C6H13OCH2MIM

1-hexyloxymethyl-3-methyl-imidazolium

117.23 N+

C4H9

Et3S

119.25

197.30

N (C6H13OCH2)2IM

N

CH2OC6H13

1,3-dihexyloxymethylimidazolium

381.53

C6H13OH2C

(OC1)2IM

C5H11

trimethyl-butylammonium

Et3S

65

217.35

n-butylpyridinium

62

64

O

n-ethylpyridinium

C4PY

C5PY

an

pyridinium

M

PY

(CH2)3O

C4H9

ed

57

tributylmethylphosphonium

N

ce pt

56

TBMeP

Ac

55

us

N

N N CH OC H 2 6 13

1,3-dimethoxyimidazolium

129.14 N

N

OCH3

H3CO

15

Page 15 of 36

66

C2OC1MIM

1-(methylethylether)-3-methylimidazolium C2H5OH2C

67

C2OHMIM

N

N

1-ethanol-3-methylimidazolium

141.19

127.16 N

N

HOC2H4

68

C3CNMIM

1-(3-cyanopropyl)-3-methylimidazolium

N

NCC3H6 OMA

C8H17

trioctylmethylammonium

148.19

368.70

ip t

69

N

N

C8H17

C8H17

70

BMPY

1-butyl 4-methyl-pyridinium

150.23

P1,4,4,4

tri-iso-butylmethylphosphonium

CH(CH3) 2

us

71

cr

N C4H9

P

217.35

CH(CH3) 2

CH(CH3) 2

72

PMPIP

1-propyl-1-methylpiperidinium

an

73

1-(2-methoxyethyl)-1-methylpyrrolidinium

COC2mMOR

4-(2-methoxyethyl)-4-methylmorpholinium

COC2mPIP

1-(2-methoxyethyl)-1-methypiperidinium

N-C3OHPY

1-(3-hydroxypropyl)pyridinium

M

COC2mPYR 74

ed

75

77 N1,1,2,2OH 78

79

ethyl(2-hydroxyethyl)dimethyl-ammonium

N-octylisoquinolinium

Ac

C8iQuin

ce pt

76

C6iQuin

N-hexylisoquinolinium

BMPIP

1-butyl-1-methyl-piperidinium

N

128.23

C3H7

N

140.2 (CH2)2OCH3

160.23 H3CO(H2C) 2

N

O

158.26

N

(CH2)2OCH3

138.19

N (CH2 )3OH 118.2

C2H5

N

C2H4 OH

N

257.41 (CH2)7CH3

N

229.36 (CH2)5CH3

80

156.29 N

C4H9

16

Page 16 of 36

Table 2 Solubility parameters (δs) of ionic liquids used in Eq. 3. δs /MPa1/2

[C16MIM][BF4] [DMEIM][NTf2]

298.15 298.15

19.94 26.36

[Me3BuN][NTf2] [C6MIM][NTf2] [BMPY][NTf2] [THTDP][NTf2] [TBMeP][MeSO4] [P,1,4,4,4][TOS] [C8MIM][MDEGSO4] [C2MIM][DEP] [C4MIM][SCN] [PY][EOSO4] [C6MIM][TfO] [C2MIM][TCB] [C4PY][NTf2] [C5PY][NTf2] [HMPYR][NTf2]

298.15

Ac

[BMPY][TfO]

[C2MIM][NO3] [C4MIM][NO3] [C0C2mMOR][NTf2] [N1,1,2,2OH][DEP] [COC2MMOR][FAP] [N-C3OHPY][NTf2] [C4MIM]BOB [C6MIM]BOB

21.60 21.10 21.82 19.46 20.58 26.99 24.69 22.12 26.30 21.98 22.39 22.12 21.01 21.18 13.35

cr us

an

M ed

ce pt

[OMPYR][NTf2] [PMPIP][NTf2] [Me3BuN][BF4] [C2MIM][FAP] [C8MIM][Cl] [AOOMIM][Br] [C2MIM][TfO]

298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 298.15 303.15 303.15 303.15

ip t

T/K

Ionic Liquid

303.15

14.31

308.15 308.15 313.15 313.15 313.15 313.15 308.15 323.15 303.15 328.15 323.15 328.15 328.15 328.15 328.15

21.55 20.14 20.10 27.46 27.97 24.53 23.04 25.24 26.68 22.03 28.96 19.68 23.13 21.31 21.57

17

Page 17 of 36

Table 3 The van der Waals volumes (rs ) of ionic liquids estimated according to literature49 used in Eq. 2. rs/ cm3mol-1

Ils

172.83 183.06 193.29 203.52

cr

ip t

[C2AOOMIM][Br] [C3AOOMIM][Br] [C4AOOMIM][Br] [C5AOOMIM][Br]

an ed

ce pt

73.24 86.91 97.14 107.37 117.60 127.83 20.43 34.10 44.33 54.56 64.79 75.02

Ac

[MPYR][SCN] [C1MPYR][SCN] [C2MPYR][SCN] [C3MPYR][SCN] [C4MPYR][SCN] [C5MPYR][SCN]

M

[MIM][SCN] [C1MIM][SCN] [C2MIM][SCN] [C3MIM][SCN] [C4MIM][SCN] [C5MIM][SCN]

85.41 99.08 109.31 119.54 129.77 140.00

us

[MIM][CH3SO3] [C1MIM][CH3SO3] [C2MIM][CH3SO3] [C3MIM][CH3SO3] [C4MIM][CH3SO3] [C5MIM][CH3SO3]

18

Page 18 of 36

Table 4 Estimated molar attraction constants of ionic functional group (IFG) by group contribution used

ip t

in Eq. 5.

FIFG MPa1/2cm3mol-1 6068.46 3100.65 3381.58 5378.46 5353.57 3882.65 4850.02 4273.49 4345.99 3905.39 4324.72 5629.20 4907.05 5379.25 4262.82 6074.24 1523.04 2789.11 4135.24 5249.28 5319.13 2724.19 6674.45 3654.73 2354.88 3947.19 3425.66 3651.77 3798.81 3850.76

us an M ed ce pt

Ac

[IM][Br] [IM][BF4] [IM][PF6] [IM][NTf2] [PY][NTf2] [IM][(CH3)2PO4] [IM][ESO4] [IM][MOSO4] [IM][MeSO4] [PYR][TfO] [IM][TfO] [IM][MDEGSO4] [IM][NTf2] [IM][NTf2] [S][NTf2] [IM][OSO4] [N][BF4] [PYR][NTf2] [N][NTf2] [P][NTf2] [PIP][NTf2] [P][MeSO4] [P][TOS] [IM][(C2F5)3PF3] [IM][NO3] [IM][TCB] [IM][SCN] [PY][SCN] [PYR][SCN] [IM][CH3SO3]

cr

ILs

19

Page 19 of 36

Table 5

Ionic Liquid

o-xylene

[MAOOMIM][Br]

m-xylene

o-xylene

[C8MIM][Cl]

p-xylene

ce pt

Ac

p-xylene

p-xylene [C2MIM][N(CN)2]

1.351

1.162

p-xylene m-xylene

1.257

0.740

20

0.860

21

1.066 0.938 0.885

22

1.038 0.963 0.795

1.173

19

an 0.807

1.173

o-xylene

19

0.929

0.853

1.130

Ref

1.077

1.239

o-xylene m-xylene

0.688

1.455

o-xylene

m-xylene

[HMIM][NO3]

1.732

ed

m-xylene

0.577

M

m-xylene

[C4MIM][NO3]

2.070

o-xylene

[AOOMIM][Br]

p-xylene

us

o-xylene

m-xylene 0.483

cr

experimental data of activity coefficients.

ip t

Selectivities S12∞ (Sij∞ =γis∞/γjs∞) of ionic liquids for xylene isomers at infinite dilution from

0.852

23

0.933 1.072

20

Page 20 of 36

m-Xylene p-Xylene [C4MIM][TOS]

p-xylene

1.308

1.005

1.000

0.855

0.860

1.170 1.162

0.994 0.901

1.110 1.062

m-xylene

[N1,1,2,2OH][DEP]

o-xylene

ce pt

m-xylene p-xylene

1.191

p-xylene

p-xylene o-xylene

1.072

0.839

28

1.070 0.952

29

1.048 0.954 0.872

1.147 1.096

27

0.935

1.102

o-xylene m-xylene

0.898

0.908

1.051

0.950

0.933

1.113

o-xylene

m-xylene

Ac

1.052

ed

p-xylene

1.128

26

0.957 0.886

o-xylene

0.942 1.045

M

[C2MIM][DEP]

25

us

p-xylene

24

1.006

o-xylene m-xylene

[C2MIM][TCB]

0.765 0.995

an

[P1,4,4,4][TOS]

[BMPYR][TCB]

0.769 1.000

o-xylene m-xylene

[C4MIM][DBP]

1.000 1.301

ip t

o-Xylene

cr

[C2MIM][CH3SO3]

0.913

30

1.047 0.955 0.851

0.899

31

21

Page 21 of 36

1.174

p-xylene

1.112

p-xylene

0.899

1.097

0.986 0.853

p-Xylene

1.140

o-xylene

ed

[C4MIM][SCN]

m-xylene

ce pt

p-xylene

Ac

1.194

p-xylene

p-xylene

0.986

0.838

34

0.940 0.835

35

1.055 0.948 0.791

1.265 1.208

33

1.064

1.263

o-xylene m-xylene

0.787

0.792

1.197

0.877

1.014

1.271

o-xylene

m-xylene

0.978 0.890

1.124

33

1.022

1.146

o-Xylene m-Xylene

cr

1.172

M

[C6MIM][BOB]

0.872

us

p-xylene

32

1.015

o-xylene m-xylene

0.912

1.113

an

[C4MIM][BOB]

[BMPYR][SCN]

0.947

o-xylene m-xylene

[BMPY][SCN]

1.056

ip t

[DMIM][TCB]

m-xylene

0.828

35

1.047 0.956

22

Page 22 of 36

ip t cr us an M

Table 6

ed

Predicted solubility parameters (δs) of ionic liquids [CnAOOMIM][Br], [CnMIM][CH3SO3], [CnMIM][SCN] and [CnMPYR][SCN] used in Eq. 3.

ce pt

ILs

δs /MPa1/2 31.04 30.11 29.23 28.38

[MIM][CH3SO3] [C1MIM][CH3SO3] [C3MIM][CH3SO3] [C4MIM][CH3SO3] [C5MIM][CH3SO3]

31.00 29.57 27.52 26.58 25.67

[MIM][SCN] [C1MIM][SCN] [C2MIM][SCN] [C3MIM][SCN] [C5MIM][SCN]

31.54 29.59 28.16 26.86 24.55

Ac

[C2AOOMIM][Br] [C3AOOMIM][Br] [C4AOOMIM][Br] [C5AOOMIM][Br]

23

Page 23 of 36

30.24 28.39 27.05 25.82 23.59

M

an

us

cr

ip t

[MPYR][SCN] [C1MPYR][SCN] [C2MPYR][SCN] [C3MPYR][SCN] [C5MPYR][SCN]

Table 7

ILs

ce pt

[AOOMIM][Br]

ed

Predicted selectivites S12∞ of m/o-xylene at infinite dilution in ionic liquids. Selectivity of m/o-xylene in ILs 1.732

2.070

[C2AOOMIM][Br]

1.774

[C3AOOMIM][Br]

1.686

[C4AOOMIM][Br]

1.608

[C5AOOMIM][Br]

1.539

Ac

[MAOOMIM][Br]*

*from experimental data

24

Page 24 of 36

ip t cr us an M ed ce pt

Table 8

Predicted selectivites (S12∞) of p/o-xylene at infinite dilution in ionic liquids. Selectivity of p/o-xylene in ILs

Ac

ILs

[MIM][CH3SO3] [C1MIM][CH3SO3] [C2MIM][CH3SO3]* [C3MIM][CH3SO3] [C4MIM][CH3SO3] [C5MIM][CH3SO3]

2.386 2.133 1.308 1.828 1.706 1.600

[MIM][SCN] [C1MIM][SCN] [C2MIM][SCN] [C3MIM][SCN] [C4MIM][SCN]* [C5MIM][SCN]

2.386 2.133 1.828 1.706 1.194 1.600 25

Page 25 of 36

[MPYR][SCN] [C1MPYR][SCN] [C2MPYR][SCN] [C3MPYR][SCN] [C4MPYR][SCN]* [C5MPYR][SCN]

2.246 1.949 1.766 1.617 1.208 1.390

Table 9

ce pt

ed

M

an

us

cr

ip t

*from experimental data

Selectivity (S12∞) of m/o, p/o-xylene in [MAOOMIM]-type ILs: predicted results for the effect of anion.

Ac

Ionic Liquid

[MAOOMIM][NTf2] 363.15K [MAOOMIM][SCN] 363.15K [MAOOMIM][NO3] 363.15K

[MAOOMIM][MDEGSO4]

S12∞

o-xylene o-xylene m-xylene p-xylene o-xylene m-xylene p-xylene o-xylene m-xylene p-xylene o-xylene

1.113 1.203 1.090 1.163 0.993 0.994

m-xylene 0.898 1.081 0.917 1.067 1.007 1.001 0.895

p-xylene 0.831 0.925 0.860 0.937 1.006 0.999 0.826 26

Page 26 of 36

m-xylene p-xylene o-xylene m-xylene p-xylene o-xylene m-xylene p-xylene o-xylene m-xylene p-xylene o-xylene m-xylene p-xylene

[MAOOMIM][MeSO4] 363.15K [MAOOMIM][OSO4] 333.15K

1.084 0.726

1.377 1.690

1.227 0.841

1.189 1.339

1.126 0.974

1.027 1.054 1.110 1.198

0.592 0.815 0.747 0.888 0.949 0.975

1.026 0.901

0.834 0.926

1.080

ed

M

an

us

[MAOOMIM][(CH3)2PO4] 333.15K

0.923

ip t

[MAOOMIM][TCB] 333.15K

1.118 1.211

cr

363.15K

Table A1

ce pt

Experimental data and literatures used in this work to derive the solubility parameters of ionic liquids with their identification defined in Table 1. Ref.

33-19 70-19 42-19 32-24 73-6 76-6 74-15 75-6 74-6 78-6 42-15 42-23 36-23

34 35 35 24 37 38 39 40 41 42 30 32 25

Ac

ID

27

Page 27 of 36

ip t

43 23 22 29 28 44 45 46 47 48 27 27 33 33

Ac

ce pt

ed

M

an

us

cr

33-12 75-15 32-17 34-16 33-25 77-26 39-6 33-27 69-28 39-3 36-3 32-26 33-29 34-29

Figure Captions 28

Page 28 of 36

Fig. 1. Residual function Y versus solute solubility parameters δi of ionic liquids Fig. 2. The classification of the structure of an ionic liquid.

Ac

ce pt

ed

M

an

us

cr

ip t

Fig. 3. Selectivity of m(1)/o(2) and p(1)/o(2) xylene in ionic liquids [MAOOCnMIM][TCB].

29

Page 29 of 36

cyclohexane methylcyclohexane 1-hexene cyclohexene benzene toluene acetone methanol ethanol 1-propanol Isopropyl alcohol

Yi

0.25 0.20 0.15

A

cr

0.30

0.10 0.05 18

0.30

1-hexene 1-hexyne benzene toluene ethylbenzene

Yi

0.20

0.15

ce pt

0.10

22

i

24

26

0.05

Ac

14

0.30 0.28 0.26 0.24

16

28

18

20

30

B

thiophene pyridine methanol ethanol tertbutyl alcohol THF 1,4-dioxane acetone acetonitrile

ed

0.25

20

an

16

M

14

us

0.35

ip t

0.40

22

24

26

28

30

i

R-methylstyrene thiophene pyridine methanol ethanol 1-propanol

C

Yi

0.22

2-butanol tertbutyl alcohol methyl propanoate methyl butanoate 1,4-dioxane acetone acetonitrile styrene

0.20 0.18 0.16 0.14 0.12 0.10 16

18

20

22

24

26

28

30

i

30

Page 30 of 36

0.35

0.25

methanol ethanol 1-propanol 1-butanol thiophene THF 1,4-dioxane acetone 2-pentanone

Yi

0.20

0.15

0.10

0.05 14

16

18

20

22

24

26

28

30

us

cr

i

ip t

D

cycloheptane 1-hexene cyclohexene 1-heptyne benzene toluene ethylbenzene

0.30

n-hexane cyclohexane methylcyclohexane 1-hexene 1-hexyne benzene toluene ethylbenzene methanol ethanol 1-propanol

0.25

Yi

0.20

M

0.15

E

an

0.30

0.10

0.05 14

16

18

20

22

24

26

28

30

ce pt

ed

i

n-hexane cyclohexane methylcyclohexane 1-hexene 1-heptyne benzene toluene ethylbenzene methanol ethanol 1-propanol

0.30

0.25

Yi

0.20

Ac

0.15

F

0.10

0.05 14

16

18

20

22

24

26

28

30

i

31

Page 31 of 36

G

n-pentane n-decane cyclopentane 1-pentene 1-octene 1-pentyne benzene p-xylene methanol THF thiophene

0.35

0.30

0.25

Yi

0.20

0.15

0.10

ip t

0.05

0.00 14

16

18

20

22

24

26

28

30

H

0.20

an

n-pentane n-octane cyclopentane cycloheptane 1-hexene 1-heptyne benzene methanol

0.25

Yi

us

0.35

0.30

0.15

18

20

22

i

24

26

28

n-pentane n-hexane n-heptane n-nonane n-decane cyclohexane methylcyclohexane 2,2,4-trimethylpentane cyclohexene styrene benzene toluene

30

I

ce pt

0.12

16

ed

14

M

0.10

0.05

cr

i

Yi

0.10

0.08

0.06

Ac

0.04

14

15

16

i

17

18

19

20

32

Page 32 of 36

n-hexane n-heptane n-decane cyclohexane cycloheptane 1-hexene 1-hexyne benzene toluene ethylbenzene methanol ethanol thiophene THF

0.30

0.25

Yi

0.20

0.15

0.10

J

0.05

0.00 14

16

18

20

22

24

26

28

30

cr

i

ip t

0.35

us

Fig. 1. Residual function Y versus solute solubility parameters δi of ionic liquids. A: [N1,1,2,2OH][DEP]; B: [COC2mMOR][NTf2]; C: [COC2MMOR][FAP]; D: [N-C3OHPY][NTf2]; E: [C4MIM][BOB]; F: [C6MIM][BOB]; G: [P,1,4,4,4][TOS]; H:

Ac

ce pt

ed

M

an

[C8MIM][MDEGSO4]; I: [C2MIM][DEP]; J: [C4MIM][SCN]

33

Page 33 of 36

IF

N

R2

BF4-

ip t

N

cr

R1

Ac

ce pt

ed

M

an

us

Fig. 2. The classification of the structure of an ionic liquid.

34

Page 34 of 36

2.6

m/0 p/o

2.5 2.4

ip t

2.3 2.2 2.1

S12

 2.0 1.9 1.8

cr

1.7 1.6 1.5

1.3 1

2

3

4

n

5

us

1.4 6

Ac

ce pt

ed

M

an

Fig. 3. Selectivity of m(1)/o(2) and p(1)/o(2) xylene in ionic liquids [MAOOCnMIM][TCB].

35

Page 35 of 36

1. We collect a database on activity coefficients of organic solutes at infinite dilution in ionic liquids.

ip t

2. We model activity coefficients to correlate the solubility parameter of ionic liquids.

Ac ce p

te

d

M

an

us

cr

3. Higher selectivity is achieved when using ionic liquids to separate xylene isomers.

Page 36 of 36