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Article

Effect of Ionic Liquids on the Isobaric Vapor-Liquid Equilibrium Behavior of Acetone-Chloroform

1
School of Chemical Engineering, Dalian University of Technology, Dalian 116024, China
2
Chemical Machinery School, Dalian University of Technology, Dalian 116024, China
*
Author to whom correspondence should be addressed.
Appl. Sci. 2018, 8(9), 1519; https://doi.org/10.3390/app8091519
Submission received: 30 July 2018 / Revised: 21 August 2018 / Accepted: 22 August 2018 / Published: 1 September 2018
(This article belongs to the Special Issue Ionic Liquids for Green Chemical Technology)

Abstract

:
Isobaric vapor-liquid equilibrium (VLE) data of the ternary system acetone + chloroform + 1,3-dimethylimidazolium dimethylphosphate ([MMIM][DMP]) or 1-ethyl-3-methylimidazolium diethylphosphate ([EMIM][DEP]) were obtained at 101.3 kPa. Results indicated that the addition of [MMIM][DMP] or [EMIM][DEP] could eliminate the azeotropic point of the binary system of acetone + chloroform when the mole fraction of ionic liquids (ILs) was above 0.15. Besides, the experimental data could be well correlated by the nonrandom two-liquid (NRTL) model. The structures as well as interactions between molecular solvents (acetone, chloroform) and the ion pairs ([MMIM][DMP], [EMIM][DEP]) were studied by quantum chemical calculations. The result indicated that the interaction energies (ΔE) follow the order of ΔE(acetone + [EMIM][DEP]) > ΔE(acetone + [MMIM][DMP]) > ΔE(chloroform + [EMIM][DEP]) ≈ ΔE(chloroform + [MMIM][DMP]), and chloroform had stronger affinity to ionic liquids than acetone.

1. Introduction

Acetone and chloroform are extremely important solvents in the chemical industry, especially in the medical field. It is difficult for conventional distillation to separate them because acetone and chloroform attract each other, forming hydrogen bonds and producing a maximum-boiling azeotrope [1]. In various techniques of separating the azeotropic system, extractive distillation is commonly used in industry and a suitable entrainer is crucial to the process of separation [2,3]. Luyben [4] studied several solvents to separate the acetone—chloroform system and found that dimethyl sulfoxide was an appropriate extraction solvent.
Compared with traditional entrainers or inorganic salts, ILs have some characteristics, e.g., non-volatility, tunable solubility for many organic compounds, good stability, and so on [5]. In this study, [MMIM][DMP] and [EMIM][DEP] were applied to separate acetone + chloroform binary azeotropic system as entrainers. The VLE data for the ternary system containing [MMIM][DMP] or [EMIM][DEP] were measured at 101.3 kPa. Meanwhile, the NRTL model was utilized to correlate the VLE data.
In order to study the mechanism of ILs as entrainer, it is important to clarify the interactions between ILs and solvent molecules. Quantum chemical calculation is a means to study the interactions between ILs and solvent molecules [6,7,8]. In this work, after geometry optimization and frequency analysis calculations, the intermolecular energies were calculated with DFT, basis set superposition error (BSSE) correction, and zero-point energy (ZPE).

2. Materials and Methods

2.1. Chemicals

Acetone and chloroform were purchased from Beijing Chemical Reagents Company (Beijing, China). The mass fraction of acetone and chloroform were higher than 99.5% checked by gas chromatography. The ILs ([MMIM][DMP] and [EMIM][DEP]) were made in our laboratory and the mass fraction higher than 98.0% checked by 1H NMR. In order to remove the volatile impurities and water, the ILs were dried in a vacuum rotary evaporation (2 kPa, 393 K) for 48 h. The mass fraction of water in ILs was below 0.05% examined by Karl Fischer titration. In addition, the used ILs were recycled in the same way after experiments.

2.2. Apparatus and Procedure

The VLE data were measured by a modified Othmer still at 101.3 kPa. The detailed description of this apparatus can be found in reference paper [9]. The VLE experiments were analyzed by a gas chromatograph (GC7900, Techcomp, Shanghai, China) equipped with a GDX-102 column (2 m × 3 mm) under pressure (0.1 MPa) of the headspace sampler and a TCD detector for which the carrier gas is H2. The oven temperature, the injector temperature, and the detector temperature were 433.15 K, 453.15 K, and 463.15 K, respectively.
In order to quantify the amounts of acetone and chloroform, a calibration curve was obtained from a series of gravimetrically prepared standard solutions by an electronic balance with an uncertainty of 0.1 mg. The content of IL in the liquid phase was calculated by measuring the mass difference of the samples with and without IL. The VLE data were measured by GC only if the VLE temperature stayed constant for at least 30 min. Each sample was analyzed 3 times to eliminate the error. The maximum uncertainty of the mole fraction of acetone and chloroform is ±0.002. In the laboratory, the VLE pressure was measured by a mercury manometer with an uncertainty of 0.01 kPa. The VLE temperature was measured by a precisely calibrated thermometer with an uncertainty of 0.1 K. According to the method provided in the literature [10], the temperature of the boiling point under actual pressure was corrected to the temperature at standard pressure (101.3 kPa).

3. Results and Discussion

3.1. VLE Data

In order to check the reliability of the apparatus, the isobaric VLE data of acetone and chloroform were obtained at 101.3 kPa. The binary VLE data compared with literature [11] are given in Table A1 in Appendix B and Figure 1. It can be seen that the experimental data are consistent with those values in literature. Therefore, the apparatus is reliable for measuring the VLE data of the ILs-containing systems.
The VLE data for the ternary systems of acetone (1) + chloroform (2) + [MMIM][DMP] (3) and acetone (1) + chloroform (2) + [EMIM][DEP] (3) were obtained at 101.3 kPa, and the IL mole fraction was kept constant in each of the three series at x3 ≈ 0.100, 0.150, 0.200. Results are reported in Table A2 and Table A3 in Appendix B, where x3 is the mole fraction of IL in the liquid phase, x1′ is the mole fraction of acetone in the liquid phase without ILs, y1 is the mole fraction of acetone in the vapor phase, y1cal is corrected by NRTL, and T is the equilibrium temperature. The activity coefficients γi and the relative volatility of acetone to chloroform α12 are calculated as follows:
  γ i = P y i   x i P i S
  α 12 = γ 1 P 1 s γ 2 P 2 s
In Equations (1) and (2), γ1 and γ2 are the activity coefficient of acetone and chloroform respectively. xi and yi represent the mole fraction of component i in the liquid phase and vapor phase, respectively. P is the system pressure (101.3 kPa). PiS is the saturated vapor pressure of pure component i. In addition, PiS are calculated by Antoine equation and the parameters of Antoine equation can be obtained from literature [12].

3.2. Modeling Results

In 1968, Renon and Prausnitz [13] proposed the NRTL model, which was suggested by most authors to correlate the data of ternary VLE containing IL [14,15,16]. Thus, the experimental VLE data for acetone + chloroform and acetone + chloroform + ILs systems were also correlated by the NRTL model. The binary interaction parameters in the NRTL model were regressed by minimizing the function OF. The correlated results are listed in Table 1. The ARD (see Equation (4)) is the average relative deviation of the experimental and predicted mole fraction of acetone in the vapor phase.
  O F = 1 n ( ( 1 γ 1 c a l γ 1 e x p ) + ( 1 γ 2 c a l γ 2 e x p ) )
  A R D = 1 n n | 1 y 1 c a l y 1 e x p |
where n is the number of experimental data points.
According to the regressed parameters of NRTL model, the mole fraction of acetone in the vapor-phase was calculated. After the VLE data were measured and calculated, the yx′ diagrams for the ternary systems acetone + chloroform + [MMIM][DMP] and acetone + chloroform + [EMIM][DEP] are plotted in Figure 2 and Figure 3. Meanwhile, the relative volatilities of acetone to chloroform are plotted in Figure 4.
As shown in Figure 2, Figure 3 and Figure 4, with the increase of the ILs content, [MMIM][DMP] and [EMIM][DEP] produced more obvious salting-out effects for acetone and the salting-out effect followed the order: 20% > 15% > 10%. Meanwhile, [EMIM][DEP] shows better separation efficiency than [MMIM][DMP] for the acetone–chloroform azeotrope by comparing the volatilities of acetone and chloroform. Because the value of P1S/P2S has little change from 1.198 to 1.208 in the experiments, the increase of relative volatility could be attributed to the acute change of γ1 and γ2 with the addition of ILs. The activity coefficients of acetone and chloroform based on different mole fraction of ILs are shown in Figure 5 and Figure 6.
It is observed that with the increased content of ILs, the values of γ1 increased and γ2 decreased over the whole range of studies. Therefore, the effect contributes to the increase in the relative volatilities and removes the azeotropic point.

4. Quantum Chemical Calculations

In order to find the global minimum energy geometry, several initial configurations were optimized and their final energies were compared using the method of quantum chemical calculations. In this work, all initial configurations were optimized at the B3LYP/6-311++G** level with the Gaussian 09 software package [17].
After the geometry optimization, the intermolecular energies were calculated with DFT, basis set superposition error (BSSE) correction and zero-point energy (ZPE). In this way, the lowest energy geometry can be approximated as the global optimal geometry. The interaction energy was calculated via Equation (5)
  E ( AB ) = E ( AB ) E ( A ) E ( B ) + BSSE
where E(AB) is the energy of the A–B complex and in the case of this work is IL-acetone, IL-chloroform, or the cation–anion complex. The lowest energy geometries are shown in Appendix A, and the interaction energy of those geometries is shown in Table 2. In addition, we can judge whether hydrogen bonds are formed by means of literature [18].
By experiment, ΔE(acetone + chloroform) > ΔE(acetone + [MMIM][DMP]) > ΔE(chloroform + [MMIM][DMP]) > ΔE([MMIM]+ + [DMP]). As the most probable structures, the ΔE(acetone + [MMIM][DMP]) is weaker than the ΔE(chloroform + [MMIM][DMP]). Therefore, it is easier for the ILs to attract chloroform molecules and to have a salting-out effect on acetone. Moreover, because the ΔE(acetone + [EMIM][DEP]) > ΔE(acetone + [MMIM][DMP]) > ΔE(chloroform + [EMIM][DEP]) ≈ ΔE(chloroform + [MMIM][DMP]), [EMIM][DEP] shows higher extraction efficiency than [MMIM][DMP].

5. Conclusions

The VLE data for the two systems of acetone + chloroform containing [MMIM][DMP] or [EMIM][DEP] were measured at 101.3 kPa. Two ILs have remarkable separation efficiency on the binary acetone-chloroform azeotropic system and can break the azeotrope when the mole fraction of ILs is over 0.15. Compared with [MMIM][DMP], [EMIM][DEP] produces a more significant effect on the VLE of acetone and chloroform. By use of the NRTL model, the experimental data correlated well. Besides, the results of the quantum chemical calculations indicate that chloroform had stronger affinity with ionic liquids than acetone, which is in accordance with the experiment results.

Author Contributions

Data Curation, Q.G.; Funding Acquisition, Z.Z.; Methodology, Z.Z.; Investigation, Q.G. and P.J.; Writing—Original Draft Preparation, Q.G.; Project Administration, Z.Z. and X.Z.; Supervision, Z.Z.

Funding

This research was funded by National Natural Science Foundation of China under grant number No. 51376036.

Acknowledgments

The authors want to thanks prof. Luo Yi’s research group in Dalian University of Technology for helping us with the theoretical calculation in Gaussian 0.9 A.01.

Conflicts of Interest

The authors declare no conflict of interest.

Appendix A

The structures were optimized by quantum chemical calculations.
When the bond length of H···O is less than 2.72 Å and the bong angle of C-H···O, it is considered that the hydrogen bond is formed [18].
Figure A1. Acetone-chloroform; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; dotted line: hydrogen bond.
Figure A1. Acetone-chloroform; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; dotted line: hydrogen bond.
Applsci 08 01519 g0a1
Figure A2. [MMIM][DMP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Figure A2. [MMIM][DMP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Applsci 08 01519 g0a2
Figure A3. [EMIM][DEP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Figure A3. [EMIM][DEP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Applsci 08 01519 g0a3
Figure A4. Chloroform-[MMIM][DMP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Figure A4. Chloroform-[MMIM][DMP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Applsci 08 01519 g0a4
Figure A5. Chloroform-[EMIM][DEP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Figure A5. Chloroform-[EMIM][DEP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Applsci 08 01519 g0a5
Figure A6. Acetone-[MMIM][DMP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Figure A6. Acetone-[MMIM][DMP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Applsci 08 01519 g0a6
Figure A7. Acetone-[EMIM][DEP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Figure A7. Acetone-[EMIM][DEP]; red: oxygen atom; green: chlorine atom gray: carbon atom; white: hydrogen atom; blue: nitrogen atom; dotted line: hydrogen bond.
Applsci 08 01519 g0a7

Appendix B

Vapor-liquid equilibrium data of Figure 1, Figure 2 and Figure 3.
Table A1. Vapor-liquid equilibrium data for the acetone (1) + chloroform (2) system at 101.3 kPa.
Table A1. Vapor-liquid equilibrium data for the acetone (1) + chloroform (2) system at 101.3 kPa.
T/Kx1y1
335.7 0.102 0.067
336.9 0.202 0.160
337.6 0.301 0.280
337.6 0.396 0.401
336.9 0.494 0.544
335.9 0.587 0.660
334.5 0.679 0.765
332.5 0.786 0.866
331.0 0.893 0.945
Standard uncertainties u(x1) = u(y1) = 0.002, u(T) = 0.1 K.
Table A2. VLE data for the ternary system of acetone (1) + chloroform (2) + [MMIM][DMP] (3) at 101.3 kPa.
Table A2. VLE data for the ternary system of acetone (1) + chloroform (2) + [MMIM][DMP] (3) at 101.3 kPa.
x3T/Kx1y1expy1calα12
0.103337.390.1040.0980.1020.971
0.100338.670.2020.2110.2261.060
0.100339.310.2900.3390.3541.257
0.100338.930.3960.4850.5091.435
0.100338.230.4760.6100.6171.723
0.100336.510.5830.7320.7421.956
0.100334.70.6780.8310.8322.334
0.100332.580.7850.9100.9082.776
0.100330.970.8870.9600.9603.068
0.150338.80.1000.1090.1161.111
0.152340.210.1940.2420.2521.326
0.151340.450.2820.3820.3871.571
0.150339.840.3720.5130.5211.780
0.150338.340.4860.6650.6722.104
0.151336.650.5780.7730.7732.476
0.150334.780.6720.8520.8522.810
0.150332.750.7820.9210.9213.254
0.150330.940.8840.9680.9663.994
0.199342.070.1070.1530.1491.506
0.200343.070.1870.2790.2791.679
0.199343.160.2660.4180.4071.983
0.200341.340.3690.5750.5642.317
0.201339.60.4680.6970.6922.619
0.200337.610.5530.7910.7803.065
0.201335.230.6710.8740.8733.400
0.201333.060.7840.9300.9343.689
0.202331.040.8830.9700.9714.341
Standard uncertainties u(x1) = u(y1) = 0.002, u(T) = 0.1 K, ARD =1.8193%.
Table A3. VLE data for the ternary system of acetone (1) + chloroform (2) + [EMIM][DEP] (3) at 101.3 kPa.
Table A3. VLE data for the ternary system of acetone (1) + chloroform (2) + [EMIM][DEP] (3) at 101.3 kPa.
x3T/Kx1y1expy1calα12
0.100338.180.1000.0990.1050.989
0.100339.390.1950.2150.2301.128
0.100339.830.2870.3480.3651.325
0.100339.680.3760.4840.4951.563
0.100338.740.4770.6140.6341.746
0.100337.330.5730.7420.7462.143
0.100335.100.6790.8340.8432.382
0.101333.180.7880.9190.9173.031
0.100331.370.8970.9700.9683.665
0.150340.810.0970.1150.1241.216
0.150341.670.1920.2560.2671.443
0.150342.210.2690.3920.3891.756
0.150341.410.3650.5350.5361.998
0.150340.030.4560.6640.6582.354
0.149337.910.5670.7880.7792.837
0.150336.300.6630.8630.8593.198
0.150333.880.7810.9330.9293.920
0.150332.200.8770.9710.9684.726
0.199344.210.0930.1430.1441.626
0.199344.810.1780.2930.2901.913
0.200345.480.2510.4230.4142.186
0.200344.370.3450.5630.5622.443
0.200342.760.4300.6900.6752.946
0.205339.930.5560.8120.8093.446
0.200337.700.6640.8820.8843.783
0.199335.580.7660.9370.9364.525
0.198332.630.9080.9810.9825.201
Standard uncertainties u(x1) = u (y1) = 0.002, u(T) = 0.1 K, ARD =1.7948%.

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Figure 1. Isobaric vapor-liquid equilibrium (VLE) diagram for the system of acetone (1) + chloroform (2) at 101.3kPa. ■ Experimental value, ○ Literature value.
Figure 1. Isobaric vapor-liquid equilibrium (VLE) diagram for the system of acetone (1) + chloroform (2) at 101.3kPa. ■ Experimental value, ○ Literature value.
Applsci 08 01519 g001
Figure 2. Isobaric VLE diagram for the system of acetone (1) + chloroform (2) + [MMIM][DMP] (3) at 101.3 kPa: ■, x3 = 0; ▲, x3 = 0.10; ▼, x3 = 0.15; ●, x3 = 0.20; solid line, calculated using NRTL model.
Figure 2. Isobaric VLE diagram for the system of acetone (1) + chloroform (2) + [MMIM][DMP] (3) at 101.3 kPa: ■, x3 = 0; ▲, x3 = 0.10; ▼, x3 = 0.15; ●, x3 = 0.20; solid line, calculated using NRTL model.
Applsci 08 01519 g002
Figure 3. Isobaric VLE diagram for the system of acetone (1) + chloroform (2) + [EMIM][DEP] (3) at 101.3 kPa: ■, x3 = 0; ▲, x3 = 0.10; ▼, x3 = 0.15; ●, x3 = 0.20; solid line, calculated using NRTL model.
Figure 3. Isobaric VLE diagram for the system of acetone (1) + chloroform (2) + [EMIM][DEP] (3) at 101.3 kPa: ■, x3 = 0; ▲, x3 = 0.10; ▼, x3 = 0.15; ●, x3 = 0.20; solid line, calculated using NRTL model.
Applsci 08 01519 g003
Figure 4. Relative volatility of acetone (1) + chloroform (2) containing [MIM][DMP] or [EMIM][DEP] (3) at 101.32kPa. x([MMIM][DMP]), %: ■ 0; ▲ 10; ▼ 15; ● 20; x([EMIM][DEP]), %: ■ 0; △ 10; ▽ 15; ○ 20; Solid line, calculated using NRTL model.
Figure 4. Relative volatility of acetone (1) + chloroform (2) containing [MIM][DMP] or [EMIM][DEP] (3) at 101.32kPa. x([MMIM][DMP]), %: ■ 0; ▲ 10; ▼ 15; ● 20; x([EMIM][DEP]), %: ■ 0; △ 10; ▽ 15; ○ 20; Solid line, calculated using NRTL model.
Applsci 08 01519 g004
Figure 5. γ1(γ2)-x1′ diagram for ethyl acetone (1) + chloroform (2) + [MMIM][DMP] (3) at 101.32 kPa: ■ γ1-x1′, □ γ2-x1′, x3 = 0; ▲ γ1-x1, △ γ2-x1′, x3 = 0.10; ▼ γ1-x1′, ▽ γ2-x1′, x3 = 0.15; ● γ1-x1′, ○ γ2-x1′, x3 = 0.20; Solid line, calculated using NRTL model.
Figure 5. γ1(γ2)-x1′ diagram for ethyl acetone (1) + chloroform (2) + [MMIM][DMP] (3) at 101.32 kPa: ■ γ1-x1′, □ γ2-x1′, x3 = 0; ▲ γ1-x1, △ γ2-x1′, x3 = 0.10; ▼ γ1-x1′, ▽ γ2-x1′, x3 = 0.15; ● γ1-x1′, ○ γ2-x1′, x3 = 0.20; Solid line, calculated using NRTL model.
Applsci 08 01519 g005
Figure 6. γ1(γ2)-x1′ diagram for ethyl acetone (1) + chloroform (2) + [EMIM][DEP]( 3) at 101.32 kPa: ■ γ1-x1′, □ γ2-x1′, x3 = 0; ▲ γ1-x1,γ2-x1′, x3 = 0.10; ▼ γ1-x1′, ▽ γ2-x1′, x3 = 0.15; ● γ1-x1′, ○ γ2-x1′, x3 = 0.20; Solid line, calculated using NRTL model.
Figure 6. γ1(γ2)-x1′ diagram for ethyl acetone (1) + chloroform (2) + [EMIM][DEP]( 3) at 101.32 kPa: ■ γ1-x1′, □ γ2-x1′, x3 = 0; ▲ γ1-x1,γ2-x1′, x3 = 0.10; ▼ γ1-x1′, ▽ γ2-x1′, x3 = 0.15; ● γ1-x1′, ○ γ2-x1′, x3 = 0.20; Solid line, calculated using NRTL model.
Applsci 08 01519 g006
Table 1. Calculated Values of Binary Parameters Δgij and Δgji in the Nonrandom Two-Liquid (NRTL) Model.
Table 1. Calculated Values of Binary Parameters Δgij and Δgji in the Nonrandom Two-Liquid (NRTL) Model.
i Componentj ComponentαijΔgij/J·mol−1Δgji/J·mol−1
acetonechloroform0.399−198.209−11.766
acetone[MMIM][DMP]0.2171006.8022707.172
chloroform[MMIM][DMP]0.780117.77510.602
acetone[EMIM][DEP]0.0231547.298−725.432
chloroform[EMIM][DEP]0.200−298.873−407.809
Table 2. The value ΔE(AB) of interaction energy between ionic liquid and solvent. All energies are given in kJ·mol−1.
Table 2. The value ΔE(AB) of interaction energy between ionic liquid and solvent. All energies are given in kJ·mol−1.
ABΔE(AB)
acetonechloroform−14.290
[MMIM]+[DMP]−387.833
[EMIM]+[DEP]−381.524
acetone[MMIM][DMP]−24.519
acetone[EMIM][DEP]−14.892
chloroform[MMIM][DMP]−30.939
chloroform[EMIM][DEP]−30.421

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MDPI and ACS Style

Gao, Q.; Zhao, Z.; Jia, P.; Zhang, X. Effect of Ionic Liquids on the Isobaric Vapor-Liquid Equilibrium Behavior of Acetone-Chloroform. Appl. Sci. 2018, 8, 1519. https://doi.org/10.3390/app8091519

AMA Style

Gao Q, Zhao Z, Jia P, Zhang X. Effect of Ionic Liquids on the Isobaric Vapor-Liquid Equilibrium Behavior of Acetone-Chloroform. Applied Sciences. 2018; 8(9):1519. https://doi.org/10.3390/app8091519

Chicago/Turabian Style

Gao, Qinglin, Zongchang Zhao, Peng Jia, and Xiaodong Zhang. 2018. "Effect of Ionic Liquids on the Isobaric Vapor-Liquid Equilibrium Behavior of Acetone-Chloroform" Applied Sciences 8, no. 9: 1519. https://doi.org/10.3390/app8091519

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