Activity Coefficients of Organic Solutes at Infinite Dilution in Ionic

Aug 19, 2011 - Timothy W. Stephens , Vicky Chou , Amanda N. Quay , Connie Shen , Nishu Dabadge , Amy Tian , Matthew Loera , Bria Willis , Anastasia ...
2 downloads 0 Views 997KB Size
ARTICLE pubs.acs.org/IECR

Activity Coefficients of Organic Solutes at Infinite Dilution in Ionic Liquids. 1. 1-Hexyl-3-Methylimidazolium Hexafluorophosphate and 1-Octyl-3-Methylimidazolium Hexafluorophosphate and Their Application to Alkane/Aromatic and Aromatic/Aromatic Hydrocarbon Separation Yi Li, Li-Sheng Wang,* Yun-Xia Feng, and Chun-Yuan Zhang School of Chemical Engineering and the Environment, Beijing Institute of Technology, Beijing 100081, People’s Republic of China

bS Supporting Information ABSTRACT: Activity coefficients at infinite dilution, γ∞ i,3, for organic solutes (alkanes, alkenes, alkyl benzenes, alcohols, chloromethanes, acetonitrile, ethyl acetate, dioxane, tetrahydrofuran, and acetone) in 1-hexyl-3-methylimidazolium hexafluorophosphate [HMIM][PF6] and 1-octyl-3-methylimidazolium hexafluorophosphate [OMIM][PF6] have been determined using gasliquid chromatography at temperatures from 303.15 to 363.15 K with the ionic liquids as the stationary phase. The partial molar excess enthalpies at infinite dilution of the ionic liquids were calculated for the solutes from the temperature dependence of the experimental activity coefficients at infinite dilution. The solubility parameters of ionic liquids were also determined by the regular solution theory. The selectivities of various ionic liquids for the alkane/aromatic hydrocarbon and aromatic/aromatic were summarized from literature and calculated from γ∞ i,3.

’ INTRODUCTION Ionic liquids (ILs) have been studied intensively in recent years. The capability of ILs to separate organic mixtures is of great importance for the development of separation processes. Activity coefficient is a fundamental thermodynamic quantity which can provide a convenient measure of solution nonideality, as well as provide information on the intermolecular energy between solvent and solute. Selectivity of the ILs with the organic solutes can be calculated from the activity coefficients at infinite dilution of solutes in ILs. The properties of ILs can be changed by varying the structure of the cations and anions such as alkyl rests and functional groups. As a designable green solvent, physicochemical and thermophysical properties of ILs have been studied systematically by various research groups in the past years. The activity coefficients at infinite dilution of solutes in ionic liquids with an alkyl carbon chain in the cations have been studied when the anion is [BF4].18 The change of the infinite dilution activity coefficients of hydrocarbons and alcohols, with the number of carbon atoms contained in the cation aliphatic chain, has been discussed. The results indicate that the γ∞ i,3 values decrease as the length of the IL alkyl chain increases.4 It is necessary to estimate the effect of changing alkyl chain when the anion is not [BF4]. The prediction using thermodynamic theory such as linear solvation energy relationship (LSER)9 and universal functional activity coefficient method (UNIFAC) is helpful when the correlation parameters are given. The correlation of parameters requires sufficient experiment data of different solutes to reach the smaller relative deviations. The γ∞ i,3 values of solutes in 1-alkyl-3-methylimidazolium hexafluorophosphate ([CnMIM][PF6]) ILs: [BMIM][PF6],1012 [HMIM][PF6],13 and [OMIM][PF6],14 have been r 2011 American Chemical Society

studied so far, and the solutes are only 17 and 24 when the IL is [HMIM][PF6] and [OMIM][PF6], respectively. This work is a continution of a study on the determination of activity coefficients γ∞ i,3 at infinite dilution of various solutes (i) by the gasliquid chromatographic method (GC) for ionic liquids 1-hexyl-3-methylimidazolium hexafluorophosphate ([HMIM][PF6]) and 1-octyl-3-methylimidazolium hexafluorophosphate ([OMIM][PF6]). In this work, the γ∞ i,3 values of solutes with more and different functional groups have been determined using GC method. The selectivities of various ionic liquids for the alkane/ aromatic and aromatic/aromatic will be summarized from literature and calculated from the γ∞ i,3 data, including the data measured in this work. Currently in the petrochemical industry sulfolane has been widely used as aromatic extraction solvent. However, the sulfolane should be replaced because of its volatility and flammability. The selectivity of sulfolane for the alkane/aromatic hydrocarbons needs to be improved. The goal of this work is to search the possibility of using ionic liquid to replace sulfolane as aromatic extraction solvent. The structureproperty relationship of ILs and the variations of the selectivity with the change of molecular structure of the ILs, such as cation and anion species, the chain length, and polarity of chain of the functional group, need to be systematically studied. The results will be helpful not only for the theoretical improvement but also for the process design of the chemical engineering community. Received: December 9, 2010 Accepted: August 19, 2011 Revised: June 29, 2011 Published: August 19, 2011 10755

dx.doi.org/10.1021/ie102458k | Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research

ARTICLE

Table 1. Experimental Activity Coefficients at Infinite Dilution of Organic Solutes in the Ionic Liquid [HMIM][PF6] as the Stationary Phase from 303.15 to 363.15 K T/ K = 303.15

T/K = 313.15

T/K = 323.15

T/K = 333.15

T/K = 343.15

T/K = 353.15

T/K = 363.15

nonane

93.092

77.042

62.683

53.293

48.407

42.662

37.883

methylcyclohexane cyclohexene

43.515 11.858

31.133 10.014

22.001 8.532

18.691 7.334

14.929 6.361

13.062 5.566

10.597 4.915

solute

styrene

2.146

2.100

2.057

2.017

1.976

1.948

1.916

ethylbenzene

4.400

4.199

3.957

3.813

3.669

3.518

3.380

o-xylene

4.093

3.876

3.686

3.533

3.385

3.236

3.113

m-xylene

5.089

4.796

4.424

4.185

3.928

3.746

3.604

p-xylene

4.682

4.409

4.171

3.953

3.752

3.618

3.426

1-propanol

2.479

2.411

2.340

2.282

2.228

2.183

2.133

1-pentanol 2-methylpropanol

4.380 3.423

4.080 3.285

3.824 3.164

3.592 3.051

3.411 2.934

3.213 2.858

3.056 2.772

2-butanol

4.148

4.041

3.942

3.852

3.771

3.695

3.623

acetonitrile

1.944

1.959

1.974

1.986

1.998

2.010

2.019

ethyl acetate

3.927

4.233

4.486

4.685

5.063

5.457

5.911

tetrahydrofuran

2.674

2.810

2.931

3.094

3.176

3.486

3.618

1,4-dioxane

2.254

2.334

2.412

2.504

2.605

2.717

2.840

dichloromethane

0.784

0.800

0.822

0.844

0.860

0.878

0.894

trichloromethane tetrachloromethane

0.528 4.582

0.565 4.908

0.620 5.304

0.672 5.723

0.710 6.289

0.775 6.902

0.837 7.637

’ EXPERIMENTAL SECTION Materials. The ionic liquids [HMIM][PF6] and [OMIM][PF6] were purchased from Shanghai Cheng Jie Chemical Co., Ltd. with a purity of 99.5%, according to manufacturer’s specifications with impurities, mass fractions of chlorine: w (Cl) < 5  104; water mass fractions analyzed by Karl Fischer analysis were less than 6  104. To confirm the purity of the ILs, the chemical shifts for the 1H NMR spectrum (parts per million, C3D6O) were determined and they appear as follows: [HMIM][PF6], δ: 9.07 (s, 1H, CHN), 7.737.66 (d, 2H, CHdCHN), 4.164.12 (t, 2H, CH2Me), 3.84 (s, 3H, CH3N), 1.791.74 (t, 2H, CH2N), 1.261.22 (m, 6H, (CH2)3), 0.870.84 (t, 3H, CH2CH3); [OMIM][PF6], δ: 9.07 (s, 1H, CH-N), 7.747.67 (d, 2H, CHdCH-N), 4.154.12 (t, 2H, CH2Me), 3.84 (s, 3H, CH3N), 1.801.76 (t, 2H, CH2N), 1.261.23 (m, 10H, (CH2)5), 0.860.84 (t, 3H, CH2CH3). The solutes provided by Beijing Chemical Reagents Company were all analytical reagents and were used without further purification. Dry helium was used as the carrier gas, and tetrahydrofuran was used as solvent to coat the ionic liquid onto the solid support, as the ILs could not dissolve well in alcohols. Chromosorb W/ AW-DMCS 100/120 mesh was used as solid support for the ionic liquid in the GC column. The purity of the ionic liquids was higher than 99%. Experimental Procedure. The GC method was used for the measurements of infinite dilution activity coefficients in ionic liquid. Helium was used as carrier gas. The retention time for the solute was obtained from the differences between the standard time and the detected time for solute. Coating the solid support material with the ionic liquid was performed by dispersing a certain portion of chromosorb in a solution of the ionic liquid in tetrahydrofuran followed by evaporation of the solvent using a rotating evaporator. The mass of the stationary phase was determined with a precision

of (0.0001 g. To avoid possible residual adsorption effects of the solutes on chromosorb, the amount of ionic liquid was 60% mass fraction related to the support material. The column was filled uniformly with the help of an ultrasound vibrator. Before experiment the column was conditioned by blowing carrier gas through at high flow rate at a high temperature (about 423 K) for about 24 h. The solute was injected as a liquid to the injector at temperature 443 K. The value of the dead time t G was determined with methane as the nonretainable pure component under the assumption that the effect of the solubility of methane in the ionic liquid was negligible. Each experiment was repeated at least twice at a given temperature to check the reproducibility. Retention times were generally reproducible within 0.011 min. The GC was equipped with a thermal conductivity detector (TCD). The flow rate was stabilized for at least 30 min before any measurement was made. The inlet column pressure was determined by inner manometer. Outlet pressure was kept equal to atmospheric pressure. To check the stability of the experimental condition, such as no occurrence of elution of the stationary phase by the helium stream, measurement of retention time was repeated every 60 h for hexane and benzene. No changes in the retention time were observed for the duration of 1 month. No measurements were taken for 1-pentanol at 303.15 K and 3-methylbutanol at (303.15, 313.15) K because of their long retention times. The measurements for other solutes were all carried out at temperatures from 303.15 to 363.15 K. Experimental Uncertainties. Retention time, dead time, column temperature, flow rate, input and output pressure, and the mass of the stationary phase all have experimental errors. The error limits of the flow rate U0 were estimated to be (0.5% at column temperature and (0.01% at the flow meter temperature. The error limits of the input pressure 10756

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research

ARTICLE

Table 2. Experimental Activity Coefficients at Infinite Dilution of Organic Solutes in the Ionic Liquid [OMIM][PF6] as the Stationary Phase from 303.15 to 363.15 K solute methylcyclohexane

T/K = 303.15

T/K = 313.15

T/K = 323.15

T/K = 333.15

T/K = 343.15

T/K = 353.15

T/K = 363.15

9.086

8.781

8.457

8.294

8.125

7.861

7.658

19.045 4.784

17.731 4.672

16.218 4.568

15.262 4.477

14.224 4.378

13.483 4.302

12.750 4.227

styrene

1.817

1.837

1.863

1.885

1.912

1.929

1.950

o-xylene

2.882

2.839

2.801

2.771

2.736

2.708

2.672

m-xylene

3.428

3.352

3.289

3.228

3.171

3.118

3.070

p-xylene

3.651

3.581

3.517

3.456

3.394

3.353

3.302

1-propanol

1.582

1.470

1.378

1.274

1.154

1.086

1.014

1-butanol

1.560

1.474

1.410

1.332

1.256

1.192

1.136

1.350 1.582

1.316 1.496

1.292 1.410

1.266 1.368

2,2,4-trimethylpentane cyclohexene

1-pentanol 2-propanol

1.886

1.768

1.382 1.670

2-methylpropanol

1.497

1.447

1.398

1.354

1.312

1.278

1.244

2-butanol

1.681

1.630

1.586

1.546

1.504

1.472

1.440

1.602

1.524

1.456

1.384

1.324

1.282

3-methylbutanol acetonitrile

0.761

0.773

0.787

0.801

0.818

0.835

0.854

ethyl acetate

1.883

1.908

1.935

1.982

2.026

2.077

2.131

acetone

1.117

1.137

1.153

1.171

1.187

1.202

1.217

tetrahydrofuran 1,4-dioxane

1.840 3.268

1.907 3.505

1.989 3.784

2.102 4.098

2.218 4.481

2.325 4.836

2.438 5.109

dichloromethane

0.663

0.685

0.707

0.729

0.751

0.771

0.791

trichloromethane

0.468

0.508

0.557

0.609

0.658

0.708

0.761

tetrachloromethane

2.340

2.456

2.604

2.725

2.861

2.978

3.094

Table 3. Coefficients of Equation 4, a and b, van der Waals Volumes of Solvent (ri), Solubility Parameters of Solute (δi), Activity E,∞ Derived from eq 5, and Coefficients at Infinite Dilution (γ∞ i at 298.15 K) of Solutes in [HMIM][PF6] Using eq 4, Values of Hi Standard Deviation σ solute i

a

ria/cm3 3 mol1

δia/(J 3 cm3)0.5

a

b/K

γ∞ i at 298.15 K

HE,∞ /kJ 3 mol1 i

σ

nonane

98.95

15.527

0.891

1635.92

99.055

13.602

0.0626

methylcyclohexane

70.46

16.27

4.606

2518.29

46.549

20.938

0.1280

cyclohexene

88.69

14.051

2.867

1619.04

12.977

13.462

0.0019

styrene

66.25

19.127

0.073

209.22

2.171

1.740

0.0035

ethylbenzene

69.74

18.043

0.103

480.19

4.516

3.993

0.0131

o-xylene m-xylene

70.66 70.66

18.453 18.09

0.238 0.636

499.23 690.71

4.205 5.371

4.151 5.743

0.0092 0.0275

p-xylene

70.66

17.838

0.323

565.51

4.828

4.702

0.0184

1-propanol

42.17

24.557

0.016

266.03

2.509

2.212

0.0033

1-pentanol

62.63

22.576

0.774

686.38

4.608

5.707

0.0231

2-methylpropanol

52.39

23.751

0.051

390.77

3.496

3.249

0.0066

2-butanol

52.39

22.63

0.604

247.06

4.205

2.054

0.0006

acetonitrile

28.37

24.094

0.896

70.12

1.937

0.583

0.0010

ethyl acetate tetrahydrofuran

52.77 44.62

18.346 19.129

3.755 2.804

726.96 555.59

3.731 2.561

6.044 4.619

0.0187 0.0262 0.0015

1,4-dioxane

44.62

20.163

2.190

420.8

2.178

3.499

dichloromethane

34.71

20.378

0.567

245.43

0.772

2.041

0.0048

trichloromethane

43.5

19.028

2.137

845.02

0.498

7.026

0.0240

tetrachloromethane

52.3

17.577

4.573

933.54

4.229

7.762

0.0077

Values obtained from literature.22

Pi and the output pressure Po were estimated to be (0.6% and (0.02%, respectively. The uncertainty of determining n3 was estimated to be (0.5%. The uncertainty of the cross

virial coefficient estimation was 25%. Based on the error propagation law, γ∞ i,3 was estimated to have a relative uncertainty within (5%. 10757

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research

ARTICLE

Table 4. Coefficients of Equation 4, a and b, van der Waals Volumes of Solvent (ri), Solubility Parameters of Solute (δi), Activity Coefficients E,∞ Derived from eq 5, and Standard Deviation σ at Infinite Dilution (γ∞ i at 298.15 K) of Solutes in [OMIM][PF6] Using eq 4, Values of Hi

a

γ∞ i at 298.15 K

ria/cm3 3 mol1

δia/(J 3 cm3)0.5

methylcyclohexane

70.46

16.27

1.199

305.00

9.222

2.536

0.0104

2,2,4-trimethylpentane cyclohexene

88.69 57.04

14.051 17.611

0.497 0.814

742.44 227.82

19.830 4.846

6.173 1.894

0.0125 0.0017

solute i

a

b/K

HE,∞ /kJ 3 mol1 i

σ

styrene

66.25

19.127

1.030

131.58

1.801

1.094

0.0026

o-xylene

70.66

18.453

0.609

136.28

2.904

1.133

0.0023

m-xylene

70.66

18.09

0.566

201.81

3.465

1.678

0.0008

p-xylene

70.66

17.838

0.686

184.59

3.688

1.535

0.0021

1-propanol

42.17

24.557

2.270

830.04

1.681

6.901

0.0282

1-butanol

52.4

23.289

1.481

586.17

1.624

4.874

0.0164

1-pentanol 2-propanol

62.63 62.62

22.576 21.671

0.541 1.347

279.50 600.50

1.493 1.949

2.324 4.993

0.0087 0.0476

2-methylpropanol

52.39

23.751

0.724

340.25

1.527

2.829

0.0039

2-butanol

52.39

22.63

0.419

285.33

1.707

2.372

0.0040

3-methylbutanol

62.62

22.322

1.177

516.43

1.741

4.294

0.0091

acetonitrile

28.37

24.094

0.417

211.02

0.748

1.754

0.0008 0.0071

ethyl acetate

52.77

18.346

1.378

229.19

1.839

1.906

acetone

39.04

19.774

0.626

156.06

1.108

1.298

0.0009

tetrahydrofuran 1,4-dioxane

44.62 44.62

19.129 20.163

2.339 3.962

528.94 846.45

1.759 3.074

4.398 7.038

0.0233 0.0318 0.0018

dichloromethane

34.71

20.378

0.660

324.99

0.651

2.702

trichloromethane

43.5

19.028

2.204

900.12

0.443

7.484

0.0086

tetrachloromethane

52.3

17.577

2.561

519.01

2.270

4.315

0.0063

Values are obtained from literature.22

Figure 1. Plot of ln γ∞ i of [HMIM][PF6] versus 1/T for the following solutes: 9, nonane; b, methylcyclohexane; 2, cyclohexene; 1, styrene; (, ethylbenzene; 0, o-xylene; O, m-xylene; Δ, p-xylene; — linear correlation.

’ THEORETICAL BASIS The equation proposed by Everett15 in 1965 and Cruickshank et al.16 in 1966 was used for obtaining the γ∞ i,3 for a volatile solute (i) in an involatile solvent (3) from GC results:   n3 RT B11  Vi0 0 2B12  Vi∞ Pi þ JPout ¼ ln ln γ∞ i, 3 0  VN Pi RT RT ð1Þ

Figure 2. Plot of ln γ∞ i of [HMIM][PF6] versus 1/T for the following solutes: 9, 1-propanol; b, 1-pentanol; 2, 2-methylpropanol; 1, 2-butanol; 0, acetonitrile; O, ethyl acetate; Δ, tetrahydrofuran; 3, 1,4dioxane; (, dichloromethane; ), trichloromethane;  , tetrachloromethane; — linear correlation.

where R (J 3 K1 3 mol1) is the gas constant, T (K) is the temperature, γ∞ i,3 is the activity coefficient of solute i at infinite dilution in the stationary phase 3, P0i (kPa) is the vapor pressure of the pure liquid solute i, and n3 is the number of moles of the stationary phase component on the column. The second and third terms in eq 1 are correction terms that arise from the nonideality of the mobile gaseous phase. B11 (cm3 3 mol1) is 10758

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research

ARTICLE

Figure 3. Plot of ln γ∞ i [OMIM][PF6] versus 1/T for the followin solutes: 9, methylcyclohexane; b, 2,2,4-trimethylpentane; 2, cyclohexene; 1, styrene; (, o-xylene; 0, m-xylene; O, p-xylene; Δ, dichloromethane; 3, trichloromethane;  , tetrachloromethane. — linear correlation.

Figure 5. Plot of ln γ∞ i of solutes in [CnMIM][PF6] as a function of carbon chain n: 9, cyclohexene; O, m-xylene; Δ, 1-propanol; 2, dichloromethane; 3, trichloromethane; 1, tetrachloromethane. The ln γ∞ i of solutes in [BMIM][PF6] are obtained from refs 1012.

Figure 4. Plot of ln γ∞ i [OMIM][PF6] versus 1/T for the following solutes: 9, 1-propanol; b, 1-butanol; 2, 1-pentanol; 1, 2-propanol; (, 2-methylpropanol; 0, 2-butanol; O, 3-methylbutanol; Δ acetonitrile; 3, ethyl acetate; ), acetone;  , tetrahydrofuran; +, 1,4-dioxane; — linear correlation.

Figure 6. Residual function Y for [HMIM][PF6] and [OMIM][PF6] versus solute solubility parameters δi. Regression line: Y = 18.145 δi  221057 for [HMIM][PF6] and Y = 17.631 δi  208693 for [OMIM][PF6]. 9, for Y versus δi of [OMIM][PF6]; b, for Y versus δi of [HMIM][PF6].

3

1

the second virial coefficient of the solute, B12 (cm 3 mol ) is the cross second virial coefficient of the solute (1) with the carrier gas (2), V0i (cm3 3 mol1) is the liquid molar volume of 3 1 pure solute, and V∞ i (cm 3 mol ) is the partial molar volume of the solute in the ionic liquid at infinite dilution. VN (cm3 3 mol1) is the standardized retention volume defined by " # Tcol Pw0 1 VN ¼ JU0 ðtr  tG Þ ð2Þ Tf Pout where tr (min) is the retention time, tG (min) is the dead time, U0 (mL 3 min1) is the flow rate, measured by a soap bubble flow meter, Tcol (K) is the column temperature, Tf (K) is the flow meter temperature, P0w (kPa) is the vapor pressure

of water at Tf (K), and Pout (kPa) is the pressure at the column outlet. The pressure correction term J appearing in eq 1 and eq 2 is given by20 #  " 3 ðPin =Pout Þ2  1 J ¼ ð3Þ 2 ðPin =Pout Þ3  1 where Pin and Pout are the inlet and outlet pressures of the GC column, respectively. The data for calculating the correction terms have been obtained in the following way. For all solutes, values of P0i were calculated from the Antoine equation, with Antoine constants given by Boublik et al.17 Molar volumes of solutes V0i were estimated using experimental values of their densities; partial molar volumes of solute at infinite dilution V∞ i were assumed to be equal to V0i . The third term of eq 1 is much less 10759

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research

ARTICLE

than the first and second terms, the γ∞ i,3 calculated from the partial molar volume is similar to the assumed V∞ i . Values of B11 and B12 were estimated based on the equations suitable for nonpolar liquids by Tsonopolous’ method18 with an uncertainty of < (10 cm3 3 mol1. The critical parameters needed for the calculations were available from the literature.18 The mixed critical properties Pcij, Tcij, Vcij, and Zcij and mixed acentric factor ωij were calculated by using equations given in the literature.18,19 The outlet pressure Pout was kept equal to the atmospheric pressure. The results of γ∞ i,3 were correlated with temperature by the following equation ln γ∞ i, 3 ¼ a þ

b ðT=KÞ

ð4Þ

) was The partial molar excess enthalpy at infinite dilution (HE,∞ i calculated from GibbsHelmholtz equation ∂ln γ∞ H E, ∞ i, 3 ¼ i ∂ð1=TÞ R

where the partial derivatives of ln γ∞ i with respect to 1/T were obtained from the slope of a straight line derived from eq 4. The selectivities, S∞ ij can be calculated from the equation given by ∞ ∞ S∞ ij ¼ γi3 =γj3

δs  104/(J 3 m3)1/2 a this work

ref 4

ref 24

ref 25

[EMIM][Tf2N]

1.93

2.75

[BMIM][Tf2N]

2.09

2.65

[HMIM][Tf2N] [BMIM][BF4]

2.43

[HMIM][BF4]

2.33

[OMIM][BF4] [BMIM][PF6]

2.25

[HMIM][PF6]

2.44

[OMIM][PF6]

2.37

1.95

2.52

2.48

2.65

2.66 2.27

2.66 2.95

ref 26

ref 27 2.27

2.13 2.06

2.66 2.51

2.53

ð6Þ

The activity coefficients at infinite dilution can be represented ) can be by a two-term eq 7: the combinatorial term (ln γ∞comb i represented by the modification21 to Flory’s equation, the ) is given by the regular solution theory: residual term (ln γ∞res i

Table 5. Solubility Parameters of the Ionic Liquids

IL

ð5Þ

∞comb ln γ∞ þ ln γ∞res i ¼ ln γi i

ð7Þ

¼ ln½ðri =rs Þ2=3  þ 1  ðri =rs Þ2=3 ln γ∞comb i

ð8Þ

¼ ðvi =RTÞðδi  δs Þ2 ln γ∞res i

ð9Þ

3

1

where ri (cm 3 mol ) is the van der Waals volumes of solute; rs (cm3 3 mol1) is the van der Waals volumes of solvent; vi (cm3 3 mol1) is the solute molar volume; δi (J 3 cm3)0.5 and δs (J 3 cm3)0.5 are the solubility parameters of solute and solvent, respectively. Information on vi, δi, and ri was obtained from the literature.22 The van der Waals volumes of ILs were calculated by group contribution method.23 A residual function Y can be rearranged from eq 9:4

Values are at 25 °C, except those estimated in refs 25 and27, which are at 30 °C.

Yi ¼ 

a

ln γ∞res δi 2 2δs δs 2 i ¼ δi  þ vi RT RT RT

ð10Þ

Table 6. Selected Ionic Liquids Used in the Calculations for Alkane/Aromatic and Aromatic (1)/Aromatic (2) Hydrocarbon Separation Problems ionic liquid

abbreviation

ref

1-ethyl-3-methylimidazolium tetrafluoroborate

[EMIM] [BF4]

1-butyl-3-methylimidazolium tetrafluoroborate

[BMIM][BF4]

33 34

1-hexadecyl-3-methylimidazolium tetrafluoroborate

[C16MIM] [BF4]

35

1-ethyl-3-methylimidazolium trifluoromethanesulfonate

[EMIM] [TfO]

36

1-butyl-3-methylimidazolium trifluoromethanesulfonate

[BMIM] [TfO]

37

1-hexyl-3-methylimidazolium trifluoromethanesulfonate

[HMIM] [TfO]

38

1-methyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide

[MMIM] [NTf2]

39

1-ethyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide 1-butyl-3-methylimidazolium bis(trifluoromethylsulfonyl)imide

[EMIM] [NTf2] [BMIM] [NTf2]

39 39 40

n-ethylpyridinium bis(trifluoromethylsulfonyl)imide

[EPY] [NTf2]

1-methyl-3-methylimidazolium methylsulfate

[MMIM] [MeSO4]

40

1-ethyl-3-methylimidazolium methylsulfate

[EMIM] [MeSO4]

39

1-ethyl-3-methylimidazolium ethylsulfate

[EMIM] [ESO4]

39

1-methyl-3-methylimidazolium methoxyethylsulfate

[MMIM] [MASO4]

40

1-methyl-3-methylimidazolium dimethylphosphate

[MMIM] [(CH3)2PO4]

40

1-propyl-2,3-dimethylimidazolium tetrafluoroborate 1-(2-hydroxyethyl)-3-methylimidazolium tetrafluoroborate

[PDMIM][BF4] [HydEMIM][BF4]

28 29 30

1-butyl-3-methylimidazolium trifluoromethanesulfonate

[BMIM][CF3SO3]

1-(methyl)acryloyloxyalkyl-3-methylimidazolium bromide

[MAOOMIM]Br

31

1-hexyl-3-methylimidazolium hexafluorophosphate

[HMIM][PF6]

this work

1-octyl-3-methylimidazolium hexafluorophosphate

[OMIM][PF6]

this work

10760

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research

ARTICLE

Table 7. Selectivities S∞ 12 of Alkanes (1)/Aromatic (2) Hydrocarbon for Ionic Liquids and Sulfolane at T = 323.15 K S∞ 12

ionic liquid

(2) benzene

toluene

ethylbenzene

o-xylene

m-xylene

p-xylene

n-pentane

38.58

22.52

10.80

15.34

11.80

12.49

n-hexane

59.88

34.95

16.76

23.81

18.32

19.39

n-heptane n-octane

98.56 152.13

57.52 88.79

27.58 42.57

39.19 60.48

30.15 46.53

31.91 49.26

(1) [PDMIM][BF4]a

[HydEMIM][BF4]b

[BMIM][CF3SO3]c,

[HMIM][PF6]d [OMIM][PF6]d sulfolanee

a

n-nonane

192.86

112.56

53.97

76.68

58.99

62.45

n-decane

1212.94

707.91

339.43

482.24

371.01

392.74

cyclohexane

26.67

15.57

7.46

10.60

8.16

8.64

methylcyclo- hexane

43.00

25.10

12.03

17.10

13.15

13.92

2,2,4-trimethylpentane

106.76

62.31

29.87

42.44

32.65

34.57

n-heptane

131.51

67.48

30.67

43.14

33.69

35.24

n-octane n-nonane

63.10 63.99

32.38 32.84

14.72 14.93

20.70 20.99

16.17 16.39

16.91 17.15

cyclohexane

53.65

27.53

12.52

17.60

13.75

14.38

methylcyclo- hexane

46.32

23.77

10.80

15.20

11.87

12.41

2,2,4-trimethyl-pentane

80.34

41.23

18.74

26.36

20.58

21.53

cyclopentane

12.89

8.65

5.54

6.59

5.59

5.77

cyclohexane

19.94

13.38

8.57

10.19

8.64

8.93

cycloheptane

27.42

18.40

11.78

14.02

11.88

12.28

cyclononane nonane

38.87 na

26.08 na

16.70 15.84

19.87 17.01

16.84 14.17

17.41 15.03

methylcyclo- hexane

na

na

5.56

5.97

4.97

5.28

methylcyclo- hexane

na

na

na

3.02

2.57

2.41

2,2,4-trimethylpentane

na

na

na

5.79

4.93

n-pentane

14.97

9.79

n-hexane

20.52

n-heptane

26.94

cyclohexane methylcyclo- hexane

12.52 17.36

4.61

6.50

na

na

na

13.41

8.90

na

na

na

17.61

11.69

na

na

na

8.18 11.35

5.43 7.53

na na

na na

na na

Ref 28. b Ref 29. c Ref 30 (328.15 K). d This work. e Ref 32; na: not analyzed.

The values of experimental γ∞ were obtained from this work, the values of ln γ∞comb were calculated by eq 8, the solubility parameters δi of different solutes are already known, then the values of Yi for each solvent were calculated by eq 10. Equation 10 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 solubility parameter δs can be obtained from the slope of this line.

’ RESULTS AND DISCUSSION The values of γ∞ i,3 of solutes in [HMIM][PF6] and [OMIM][PF6] obtained over a temperature range from 303.15 to 363.15 K are listed in Tables 1 and 2. The coefficients a and b, γ∞ i,3 at the standard condition (T = 298.15 K) calculated using eq 4, the standard deviation σ of the fitted equation, and values of HE,∞ i derived from eq 4 are listed in Tables 3 and 4. The plots of measured ln γ∞ i,3 vs 1/T values are given in Figures 1, 2, 3, and 4. The γ∞ i,3 values for 1-pentanol and 3-methylbutanol were not measured at the temperature 303.15 K and 303.15, 313.15 K, respectively, because the retention times were far beyond the scope allowed by GC. Figure 5 shows the activity coefficients at infinite dilution of cyclohexene, m-xylene, 1-propanol,

dichloromethane, trichloromethane, and tetrachloromethane in [CnMIM]PF6 (n = 4, 6, 8) ionic liquids at 313.15 K. The γ∞ i,3 decreased with the increasing of carbon chain length on the was positive and increased with the chain length cations. HE,∞ i of the linear alkanes. The linear dependence between Yi and δi obtained from the γ∞ data on [HMIM][PF6] and [OMIM][PF6] is displayed in Figure 6. The solubility parameters of these two ILs calculated by this procedure, and the reported solubility parameters4,2427 of 1-alkyl-3-methylimidazolium bis[(trifluoromethyl)sulfonyl]imide [CnMIM][Tf2N] and 1-alkyl-3-methylimidazolium tetrafluoroborate [CnMIM][BF4], are listed in Table 5. Besides the solubility parameters reported by ref 24, the other data show that the value of solubility parameter will decrease with the carbon chain length on the cation with same anion. The selectivities of various ionic liquids and sulfolane for the alkane/aromatic hydrocarbon, and various ionic liquids for aromatic/aromatic are summarized from literature and calculated from the γ∞ i,3 data. The candidate ILs included 1-alkyl-3-methyllimidazolium tetrafluoroborate ([CnMIM][BF4]),3335 1-alkyl-3-methyllimidazolium trifluoromethanesulfonate ([CnMIM][TfO]),3638 1-alkyl-3-methyllimidazolium bis(trifluoromethylsulfonyl)imide ([C nMIM][NTf2]), 39 and 10761

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research

ARTICLE

Table 8. Selectivities S∞ 12 of Aromatic (1)/Aromatic (2) Hydrocarbon for Ionic Liquids at T = 323.15 K S∞ 12

ionic liquid

(2) (1) [MAOOMIM]Bra

[HydEMIM][BF4]b

[HMIM][PF6]c

[OMIM][PF6]c

a

benzene

benzene

toluene

ethylbenzene

0.457

o-xylene

m-xylene

p-xylene

0.193

0.279

0.210

na

0.422

0.613

0.461

na

1.447

1.089 0.756

na na

toluene

2.190

ethylbenzene o-xylene

5.190 3.581

2.370 1.632

0.691

m-xylene

4.762

2.170

0.918

1.323

0.513

0.233

0.328

0.256

0.268

0.455

0.639

0.499

0.522

1.406

1.099

1.149

0.781

0.817

benzene toluene

1.950

ethylbenzene

4.290

2.20

o-xylene

3.048

1.564

0.711

m-xylene

3.903

2.003

0.910

1.281

p-xylene ethylbenzene

3.732 na

1.915 na

0.870

1.224 1.074

o-xylene

na

na

0.932

m-xylene

na

na

1.118

1.200

p-xylene

na

na

1.054

1.132

o-xylene

na

na

na

m-xylene

na

na

na

1.174

p-xylene

na

na

na

1.256

na

1.046 0.956 0.894

0.949

0.833

0.884 1.061

0.943 0.852

0.796 0.935

1.069

Ref 31. b Ref 29. c This work; na: not analyzed.

1-alkyl-3-methyllimidazolium methylsulfate.40 Four ionic liquids: [PDMIM][BF4],28 [HydEMIM][BF4],29 [BMIM][CF3SO3],30 and [MAOOMIM]Br31 are found to have significant separation effect for the alkane/aromatic hydrocarbon and aromatic/ aromatic separation problems. They are listed in Table 6 together with the ionic liquids [HMIM][PF6 ] and [OMIM][PF6] investigated in this work. The selectivities of [CnMIM][BF4],3335 [CnMIM][TfO],38 and [CnMIM][NTf2]39 for the alkane/aromatic hydrocarbon mixtures separation show that the selectivity increases with increasing of number of organic groups on the cation. The values of selectivities decrease with increasing number of carbon atoms of aliphatic chain on cation for this separate problem. The comparison of [HMIM][PF6] and [OMIM][PF6] in Table 7 confirms this phenomenon. Table 7 shows that most of the investigated ionic liquids can be used as aromatic extraction solvents from alkane/aromatic hydrocarbon mixtures. The selectivities S∞ ij of [PDMIM][BF4] (with three organic groups on the cation) are higher than other ILs (with two organic groups on the cation). All ionic liquids listed in Table 7 show good separation ability, [PDMIM][BF4] and [HydEMIM][BF4] are much better than the experimental selectivities of sulfolane.32 Table 8 shows the selectivities S∞ 12 of ionic liquids for aromatic/aromatic hydrocarbon mixtures. The results of selectivity by using [HMIM][PF6] and [OMIM][PF6] to separate mxylene (1) and o-xylene (2), the results of S∞ 12 are slightly different from 1.200 to 1.174, and for p-xylene (1) and o-xylene (2) the results of S∞ 12 are different from 1.132 to 1.256. Compared with the [BMIM][BF4],34 by increasing the polarity of chain on cation, for example using [HydEMIM][BF4] to separate the mixture of xylenes, higher selectivities are obtained. The result of selectivity for the mixture of m-xylene (1) and o-xylene (2) is ∞ S∞ 12 = 1.281 and for p-xylene (1) and o-xylene (2) is S12 = 1.224.

From Table 8, it can be seen that [MAOOMIM]Br has the highest selectivity only for separation of m-xylene (1) and oxylene (2), for which the result is S∞ 12 = 1.323. For the comparison of type of anions, the IL with [BF4] will be better than that with [PF6] for the same kind of cations. This is probably because the hydrophobic properties of [PF6] are higher than [BF4]. Currently the experimental data are not enough; more activity coefficient data at infinite dilution for different ionic liquids are required to improve the understanding on the structures of ILs and their selectivity.

’ CONCLUSIONS Activity coefficients at infinite dilution of selected organic solutes in two ionic liquids [HMIM][PF6] and [OMIM][PF6] have been measured at the temperature range from 303.15 to 363.15 K. From the results of measurements for the two ILs, the γ∞ i,3 value decreases with increasing of carbon chain length on the cations. The partial molar excess enthalpies at infinite dilution of the ionic liquids were calculated for the solutes from the temperature dependence of the experimental activity coefficients was positive and increased at infinite dilution. The value of HE,∞ i with the chain length of the linear alkanes. The solubility parameters of ionic liquids were also determined by the regular solution theory. Solubility parameters decrease with the carbon chain length on the cation of ionic liquid with same anion. The selectivities of various ionic liquids for the alkane/aromatic and aromatic/aromatic were summarized from literature and calculated from γ∞ i,3 obtained in this study. The results show applicability of the ILs to separation processes, and the selectivity shows potential of ILs for application to petrochemical separation processes. Currently the experimental data are not enough, 10762

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research more activity coefficient data at infinite dilution for different ionic liquids as solvent must be measured toward this goal.

’ ASSOCIATED CONTENT

bS

Supporting Information. Additional data. This material is available free of charge via the Internet at http://pubs.acs.org.

’ AUTHOR INFORMATION Corresponding Author

*E-mail: [email protected]. Fax: +86-10-68911040. Tel: +86-10-68912660.

’ ACKNOWLEDGMENT Funding for this research was provided by the Beijing Institute of Technology. ’ NOMENCLATURE a = intercept of eq 4 b = slope of eq 4 B11 = second virial coefficient of pure solute B12 = cross virial coefficient of solute and carrier gas = heat of solution at infinite dilution for solute in ionic HE,∞ i liquid J = J factor n3 = amount of substance for ionic liquid P = pressure P0i = saturation pressure of solute P0w = saturation pressure of water at temperature of flow meter Pin = inlet pressure of the GC column Pout = outlet pressure of the GC column R = gas constant ri = van der Waals volume of solute rs = van der Waals volume of solvent S∞ 12 = selectivity at infinite dilution to separate component 1 and 2 tr = retention time tG = dead time Tf = flow meter temperature T = absolute temperature Tcol = column temperature U0 = flow rate vi = solute molar volume δi = solubility parameters of solute δs = solubility parameters of solvent VN = standardized retention volume V0i = liquid molar volume of pure solute Yi = residual function of solute i γ∞ i,3 = limiting activity coefficient of component i in stationary phase 3 ’ SUPERSCRIPTS ∞ = infinite dilution comb = combinatiorial term res = residual term ’ SUBSCRIPTS i, j = solutes s = solvents

ARTICLE

’ REFERENCES (1) Letcher, T. M.; Soko, B.; Reddy, P.; Deenadayalu, N. Determination of activity coefficients at infinite dilution of solutes in the ionic liquid 1-hexyl-3-methylimidazolium tetrafluoroborate using gasliquid chromatography at the temperatures 298.15 and 323.15 K. J. Chem. Eng. Data 2003, 48, 1587–1590. (2) Heintz, A.; Verevkin, S. P. Thermodynamic properties of mixtures containing ionic liquids. 6. Activity coefficients at infinite dilution of hydrocarbons, alcohols, esters, and aldehydes in 1-methyl-3-octyl-imidazolium tetrafluoroborate using gas-liquid chromatography. J. Chem. Eng. Data 2005, 50, 1515–1519. (3) Zhou, Q.; Wang, L. S. Activity coefficients at infinite dilution of alkanes, alkenes, and alkyl benzenes in 1-butyl-3-methylimidazolium tetrafluoroborate using gas-liquid chromatography. J. Chem. Eng. Data 2006, 51, 1698–1701. (4) Foco, G. M.; Bottini, S. B.; Quezada, N.; de la Fuente, J. C.; Peters, C. J. Activity coefficients at infinite dilution in 1-alkyl-3-methylimidazolium tetrafluoroborate ionic liquids. J. Chem. Eng. Data 2006, 51, 1088–1091. (5) Zhou, Q.; Wang, L. S.; Wu, J. S.; Li, M. Y. Activity coefficients at infinite dilution of polar solutes in 1-butyl-3-methylimidazolium tetrafluoroborate using gas-liquid chromatography. J. Chem. Eng. Data 2007, 52, 131–134. (6) Mutelet, F.; Jaubert, J. N. Measurement of activity coefficients at infinite dilution in 1-hexadecyl-3-methylimidazolium tetrafluoroborate ionic liquid. J. Chem. Thermodyn. 2007, 39, 1144–1150. (7) Ge, M. L.; Wang, L. S.; Wu, J. S.; Zhou, Q. Activity coefficients at infinite dilution of organic solutes in 1-ethyl-3-methylimidazolium tetrafluoroborate using gas-liquid chromatography. J. Chem. Eng. Data 2008, 53, 1970–1974. (8) Revelli, A. L.; Mutelet, F.; Turmine, M.; Solimando, R.; Jaubert, J. N. Activity coefficients at infinite dilution of organic compounds in 1-butyl-3-methylimidazolium tetrafluoroborate using inverse gas chromatography. J. Chem. Eng. Data 2009, 54, 90–101. (9) Sprunger, L. M.; Gibbs, J.; Proctor, A.; Acree, W. E., Jr.; Abraham, M. H.; Meng, Y.; Yao, C.; Anderson, J. L. Linear free energy relationship correlations for room temperature ionic liquids: Revised cation-specific and anion-specific equation coefficients for predictive applications covering a much larger area of chemical space. Ind. Eng. Chem. Res. 2009, 48, 4145–4154. (10) Mutelet, F.; Butet, V.; Jaubert, J. N. Application of inverse gas chromatography and regular solution theory for characterization of ionic liquids. Ind. Eng. Chem. Res. 2005, 44, 4120–4127. (11) Dobryakov, Y. G.; Tuma, D.; Maurer, G. Activity coefficients at infinite dilution of alkanols in the ionic liquids 1-butyl-3-methylimidazolium hexafluorophosphate, 1-butyl-3-methylimidazolium methyl sulfate, and 1-hexyl-3-methylimidazolium bis(trifluoromethylsulfonyl) amide using the dilutor technique. J. Chem. Eng. Data 2008, 53, 2154–2162. (12) Shimoyama, Y.; Hirayama, T.; Iwai, Y. Measurement of infinite dilution activity coefficients of alcohols, ketones, and aromatic hydrocarbons in 4-methyl-N-butylpyridinium tetrafluoroborate and 1-butyl-3methylimidazolium hexafluorophosphate by gas-liquid chromatography. J. Chem. Eng. Data 2008, 53, 2106–2111. (13) Letcher, T. M.; Soko, B.; Ramjugernath, D.; Deenadayalu, N.; Nevines, A.; Naicker, P. K. Activity coefficients at infinite dilution of organic solutes in 1-hexyl-3-methylimidazolium hexafluorophosphate from gasliquid chromatography. J. Chem. Eng. Data 2003, 48, 708–711. (14) Olivier, E.; Letcher, T. M.; Naidoo, P.; Ramjugernath, D. Activity coefficients at infinite dilution of organic solutes in the ionic liquid 1-octyl-3-methylimidazolium hexafluorophosphate using gasl iquid chromatography at T = (313.15, 323.15, and 333.15) K. J. Chem. Thermodyn. 2010, 42, 646–650. (15) Everett, D. H. Effect of gas imperfection on G.L.C. measurements: A refined method for determining activity coefficients and second virial coefficients. Trans. Faraday Soc. 1965, 61, 1637–1645. (16) Cruickshank, A. J. B.; Windsor, M. L.; Young, C. L. The use of gas-liquid chromatography to determine activity coefficients and second 10763

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764

Industrial & Engineering Chemistry Research virial coefficients of mixtures. I. Theory and verification of method of data analysis. Proc. R. Soc. London, Ser. A 1966, 295, 259–270. (17) Boublik, T.; Fried, V.; Hala, E. The Vapor Pressure of Pure Substances; Physical Science Data 17; 2nd ed.; Elsevier: Amsterdam, The Netherlands, 1984. (18) Reid, R. C.; Prausnitz, J. M.; Sherwood, T. K. The Properties of Gases and Liquids, 3rd ed.; McGraw-Hill Chemical Engineering Series: New York, 1977. (19) Prausnitz, J. M.; Lichtenthaler, R. N.; Azevedo, E. G. Molecular Thermodynamics of Fluid-Phase Equilibria, 2nd ed.; Prentice Hall: New York, 1986. (20) Grant, D. W. Gas-Liquid Chromatography; van Nostrand Reinhold: London, 1971. (21) Kikic, I.; Alessi, P.; Rasmussen, P.; Fredenslund, A. On the combinatorial part of the UNIFAC and UNIQUAC models. Can. J. Chem. Eng. 1980, 58, 253–258. (22) Yaws, C. L. Chemical Properties Handbook; McGraw-Hill Book Co: New York, 1999. (23) Bondi, A. Physical Properties of Molecular Crystals, Liquids and Glasses; Wiley, New York, 1968. (24) Moganty, S. S.; Baltus, R. E. Regular solution theory for low pressure carbon dioxide solubility in room temperature ionic liquids: Ionic liquid solubility parameter from activation energy of viscosity. Ind. Eng. Chem. Res. 2010, 49, 5846–5853. (25) Kilaru, P. K.; Scovazzo, P. Correlations of low-pressure carbon dioxide and hydrocarbon solubilities in imidazolium-, phosphonium-, and ammonium-based room-temperatuire ionic liquids. Part 2. Using activation energy of viscosity. Ind. Eng. Chem. Res. 2008, 47, 910–919. (26) Jin, H.; O’Hare, B.; Dong, J.; Arzhantsev, S.; Baker, G. A.; Wishart, J. F.; Benesi, A. J.; Maroncelli, M. Physical properties of ionic liquids consisting of the 1-butyl-3-methylimidazolium cation with various anions and the bis(trifluoromethylsulfonyl)imide anion with various cations. J. Phys. Chem. B 2008, 112, 81–92. (27) Kilaru, P. K.; Condemarin, P. A.; Scovazzo, P. Correlations of low pressure carbon dioxide and hydrocarbon solubilities in imidazolium-, phosphonium-, and ammonium-based room-temperature ionic liquids. Part 1. Using surface tension. Ind. Eng. Chem. Res. 2008, 47, 900–909. (28) Wang, M. H.; Wu, J. S.; Wang, L. S.; Li, M. Y. Activity coefficients at infinite dilution of alkanes, alkenes, and alkyl benzenes in 1-propyl-2,3-dimethylimidazolium tetrafluoroborate using gas liquid chromatography. J. Chem. Eng. Data 2007, 52, 1488–1491. (29) Zhang, Y.; Wang, L. S.; Li, Y. Activity coefficients at infinite dilution of alkanes, alkenes, and alkyl benzenes in 1-(2-hydroxyethyl)-3methylimidazolium tetrafluoroborate using gas liquid chromatography. J. Chem. Eng. Data 2009, 54, 2887–2890. (30) Domanska, U.; Marciniak, A. Activity coefficients at infinite dilution measurements for organic solutes and water in the ionic liquid 1-butyl-3-methylimidazolium trifluoromethanesulfonate. J. Phys. Chem, B 2008, 112, 11100–11105. (31) Mutelet, F.; Jaubert, J. N.; Rogalski, M.; Harmand, J.; Sindt, M.; Mieloszynski, J. L. Activity coefficients at infinite dilution of organic compounds in 1-(meth)acryloyloxyalkyl-3-methylimidazolium bromide using inverse gas chromatography. J. Phys. Chem, B 2008, 112, 3773–3785. (32) M€ollmann, C.; Gmehling, J. Measurement of activity coefficients at infinite dilution using gas-liquid chromatography. 5. Results for N-methylacetamide, N,N-dimethylacetamide, N,N-dibutylformamide, and sulfolane as stationary phases. J. Chem. Eng. Data 1997, 42, 35–40. (33) Ge, M.-L.; Wang, L.-S.; Wu, J.-S.; Zhou, Q. Activity Coefficients at Infinite Dilution of Organic Solutes in 1-Ethyl-3-methylimidazolium Tetrafluoroborate Using Gas-Liquid Chromatography. J. Chem. Eng. Data 2008, 53, 1970–1974. (34) Zhou, Q.; Wang, L.-S. Activity Coefficients at Infinite Dilution of Alkanes, Alkenes, and Alkyl Benzenes in 1-Butyl-3-methylimidazolium Tetrafluoroborate Using Gas-Liquid Chromatography. J. Chem. Eng. Data 2006, 51, 1698–1701.

ARTICLE

(35) Mutelet, F.; Jaubert, J.-N. Measurement of activity coefficients at infinite dilution in 1-hexadecyl-3-methylimidazolium tetrafluoroborate ionic liquid. J. Chem. Thermodyn. 2007, 39, 1144–1150. (36) Olivier, E.; Letcher, T. M.; Naidoo, P.; Ramjugernath, D. Activity coefficients at infinite dilution of organic solutes in the ionic liquid 1-ethyl-3-methylimidazolium trifluoromethanesulfonate using gasliquid chromatography at T = (313.15, 323.15, and 333.15) K. J. Chem. Thermodyn. 2010, 42, 78–83. (37) Letcher, T. M.; Soko, B.; Ramjugernath, D.; Deenadayalu, N.; Nevines, A.; Naicker, P. K. Activity Coefficients at Infinite Dilution of Organic Solutes in 1-Hexyl-3-methylimidazolium Hexafluorophosphate from GasLiquid Chromatography. J. Chem. Eng. Data 2003, 48, 708–711. (38) Letcher, T. M.; Reddy, P. Determination of activity coefficients at infinite dilution of organic solutes in the ionic liquid, trihexyl(tetradecyl)- phosphonium tris(pentafluoroethyl) trifluorophosphate, by gasliquid chromatography. Fluid Phase Equilib. 2005, 235, 11–17. (39) Letcher, T. M.; Marciniak, A.; Marciniak, M.; Doma nska, U. Activity coefficients at infinite dilution measurements for organic solutes in the ionic liquid 1-hexyl-3-methyl-imidazolium bis(trifluoromethylsulfonyl)-imide using G.L.C. at T = (298.15, 313.15, and 333.15) K. J. Chem. Thermodyn. 2005, 37, 1327–1331. (40) Letcher, T. M.; Reddy, P. Determination of activity coefficients at infinite dilution of organic solutes in the ionic liquid, tributylmethylphosphonium methylsulphate by gasliquid chromatography. Fluid Phase Equilib. 2007, 260, 23–28.

10764

dx.doi.org/10.1021/ie102458k |Ind. Eng. Chem. Res. 2011, 50, 10755–10764