http://www.chemistrymag.org/cji/2008/10a048pe.htm

Oct. 1, 2008  Vol.10 No.10 P.48 Copyright cij17logo.gif (917 bytes)


Measurement of liquidliquid equilibria for ternary mixtures with diethyl carbonate or methyl tert-butyl ether

Fu Min, Chen Yao, Hu Jinghua
(Department of Chemistry, Jinan University, Guangzhou, 510632,China)

Supported by Foundation of Ministry of Education (No.2002247), Foundation of Guangdong province (No.2003C33101) and Foundation of Jinan University (No.640071).

Abstract The experimental tie line data for five ternary mixtures of water + ethanol +diethyl carbonate, water + methanol +diethyl carbonate, water +diethyl carbonate + n-heptane, water + methyl tert-butyl ether + n-heptane, water + methyl tert-butyl ether + diethyl carbonate have been measured at temperature 298.15 K and ambient pressure. The experimental data were correlated by using a modified UNIQUAC model. Furthermore, the calculated results were compared with those obtained from an extended UNIQUAC model.
Keywords Liquid-liquid equilibria, Fuel additives, Ternary mixtures, Modified UNIQUAC and extended UNIQUAC models.

1. INTRODUCTION            
Presently, several fuel oxygenates are added to gasoline to enhance the octane number and reduce air pollution. Methyl tert-butyl ether (MTBE) is currently the primary oxygenated compound being used in lead-free gasoline. Diethyl carbonate (DEC) is recognized as an environmentally benign chemical because of its negligible ecotoxicity and low bioaccumulation and persistence. Its high oxygen content makes it a promising candidate to be used as an oxygenated fuel additive, which has been reported by many researchers [1-3]. Engine texts show that DEC reduces particulate emissions almost 50% when the engine is under load. Without load, particulate emissions are reduced by approximately 30% [4].
    To assess the effect of the additives in gasoline reformulation, we need a fundamental knowledge about multi-component phase equilibria of the mixtures containing these compounds. In this work, we report liquid-liquid equilibria (LLE) data for ternary mixtures of water + ethanol + DEC, water + methanol + DEC, water + DEC + n-heptane, water + MTBE + n-heptane, water + MTBE + DEC systems measured at 298.15 K. The experimental results were correlated by means of the extended and modified UNIQUAC models [5, 6] which include additional ternary parameters arising from multicomponent intermolecular interactions, in addition to the binary parameters. The vapor-liquid equilibria (VLE) data and mutual solubilities of the constituent binary mixtures have been available from the literatures [7-14], the mutual solubilities of water + DEC was measured in this work.

2. EXPERIMENTS
2.1 Materials
  
DEC was obtained from Alfa Aesar Company, with mass fraction of 0.990. MTBE was supplied by Tedia Company, Inc. with mass fraction of 0.998. Methanol and n-heptane were provided from Guangzhou Chemical Reagent Factory, with mass fraction of 0.995 and 0.997, respectively. Ethanol was supplied from Tianjin Chemical Reagent Factory, with mass fraction of 0.997. Water provided from Jinan University was distilled twice and had a mass fraction purity of 0.999. The g.c. analysis gave mass fractions purities of 0.991 for DEC, 0.997 for MTBE, 0.995 for methanol, 0.996 for n-heptane, and 0.996 for ethanol. All chemicals were used directly in this work.
2.2 Apparatus and Procedures
                                       
Ternary LLE measurements were carried out at the temperature (298.15 ± 0.01) K. The experimental apparatus was the same that reported in detail previously [15]. The mixtures were stirred by using a magnetic stirrer for 3 hours, and settled for 2 hours. It is sufficient to separate into two phases. The samples withdrawn from upper and lower phases were analyzed by a gas chromatography. The accuracy of the measurements was estimated within ±0.001 in mole fraction. Table 1 shows experimental LLE results for the mixtures of water + ethanol + DEC, water + methanol + DEC, water + DEC + n-heptane, water + MTBE + n-heptane, and water + MTBE + DEC.

Table 1 Equilibrium phase compositions in mole fraction (x) for the five ternary mixtures at 25ºC

organic phase

aqueous phase

x1

x2

x3

x1

x2

x3

x1 water + x2 ethanol + x3 DEC

0.0474

0.0000

0.9526

0.9978

0.0000

0.0022

0.0506

0.0874

0.8620

0.9491

0.0467

0.0042

0.0901

0.1502

0.7597

0.9123

0.0816

0.0061

0.1616

0.2242

0.6142

0.8695

0.1226

0.0079

0.2130

0.2846

0.5024

0.8275

0.1581

0.0144

0.2880

0.3345

0.3775

0.7865

0.1901

0.0234

0.3851

0.3521

0.2628

0.7258

0.2268

0.0474

x1 water + x2 methanol + x3 DEC

0.0474

0.0000

0.9526

0.9978

0.0000

0.0022

0.0629

0.0199

0.9172

0.9332

0.0624

0.0044

0.0852

0.0560

0.8588

0.8801

0.1135

0.0064

0.1023

0.0912

0.8065

0.8426

0.1503

0.0071

0.1230

0.1303

0.7467

0.7947

0.1952

0.0101

0.1403

0.1858

0.6739

0.7571

0.2241

0.0188

0.1750

0.2271

0.5979

0.7215

0.2523

0.0262

0.2038

0.2590

0.5372

0.6885

0.2728

0.0387

x1 water + x2 DEC + x3 n-heptane

0.0474

0.9526

0.0000

0.9978

0.0022

0.0000

0.0378

0.8715

0.0907

0.9989

0.0010

0.0001

0.0365

0.8271

0.1364

0.9993

0.0006

0.0001

0.0312

0.7955

0.1733

0.9995

0.0005

0.0000

0.0236

0.7394

0.2370

0.9996

0.0004

0.0000

0.0185

0.7014

0.2801

0.9998

0.0002

0.0000

0.0163

0.6425

0.3412

0.9998

0.0002

0.0000

0.0135

0.6069

0.3796

0.9999

0.0001

0.0000

0.0094

0.5456

0.4450

0.9999

0.0001

0.0000

0.0042

0.4811

0.5147

0.9999

0.0001

0.0000

0.0000

0.3976

0.6024

1.0000

0.0000

0.0000

0.0000

0.3174

0.6826

1.0000

0.0000

0.0000

0.0015

0.0000

0.9985

1.0000

0.0000

0.0000

x1 water + x2 MTBE + x3 n-heptane

0.0572

0.9428

0.0000

0.9909

0.0091

0.0000

0.0456

0.8464

0.1080

0.9931

0.0067

0.0002

0.0315

0.7844

0.1841

0.9938

0.0062

0.0000

0.0290

0.7277

0.2433

0.9948

0.0052

0.0000

0.0237

0.6842

0.2921

0.9950

0.0050

0.0000

0.0199

0.6424

0.3377

0.9951

0.0049

0.0000

0.0209

0.5992

0.3799

0.9956

0.0044

0.0000

0.0116

0.5325

0.4559

0.9957

0.0043

0.0000

0.0108

0.4803

0.5089

0.9967

0.0033

0.0000

0.0073

0.4108

0.5819

0.9969

0.0031

0.0000

0.0053

0.3782

0.6165

0.9972

0.0028

0.0000

0.0028

0.3155

0.6817

0.9975

0.0025

0.0000

0.0000

0.2719

0.7281

0.9982

0.0018

0.0000

0.0015

0.0000

0.9985

1.0000

0.0000

0.0000

x1 water + x2 MTBE + x3 DEC

0.0572

0.9428

0.0000

0.9909

0.0091

0.0000

0.0561

0.8629

0.0810

0.9915

0.0085

0.0000

0.0550

0.7738

0.1712

0.9921

0.0072

0.0007

0.0542

0.7255

0.2203

0.9929

0.0062

0.0009

0.0525

0.5853

0.3622

0.9937

0.0053

0.0010

0.0511

0.5165

0.4324

0.9943

0.0044

0.0013

0.0493

0.4270

0.5237

0.9945

0.0037

0.0018

0.0468

0.3634

0.5898

0.9946

0.0034

0.0020

0.0349

0.2981

0.6670

0.9948

0.0030

0.0022

0.0334

0.2050

0.7616

0.9943

0.0022

0.0035

0.0474

0.0000

0.9526

0.9978

0.0000

0.0022

3. CALCULATION PROCEDURE                                                            
The extended and modified UNIQUAC models which were described in the references 5 and 6, were used to correlate the experimental ternary LLE data.
    The binary energy parameters for the miscible mixtures were obtained from the VLE data reduction using the following thermodynamic equations by using the computer program [16]:
(1)
(2)
    where P, x, y, and
γ
are the total pressure, the liquid-phase mole fraction, the vapor-phase mole fraction, and the activity coefficient, respectively. The pure component vapor pressure, P5 , was calculated by using the Antoine equation. The liquid molar volume, VL, was obtained by a modified Rackett equation [17 ]. The fugacity coefficient, F, was calculated by the eq.(2). The pure and cross second virial coefficients, B, were estimated by the method of Hayden and O'Connell [18]. The binary energy parameters for the partially miscible mixtures were obtained by solving the following thermodynamic equations simultaneously.
(3)
and ( I, II = two liquid phases ) (4)
    Ternary parameters
τ231, τ312, and τ123 were obtained by fitting the two models to the ternary LLE data using a simplex method [19] by minimizing the objective function:
F= (5)
    where min denotes minimum values, i = 1 to 3 for ternary mixtures, j = 1, 2 (phases), k = 1, 2,
…,M (number of tie lines), M = 2ni, and x is the liquid-phase mole fraction.

4. CALCULATED RESULTS
Table 2 lists the binary energy parameters of the modified and extended UNIQUAC models for the constituent binary mixtures, along with the root-mean-square deviations between experimental and calculated values: sP for pressure,
sT  for temperature, sx for liquid-phase mole fraction, and sy for vapor-phase mole fraction. Good agreement between experimental results and those calculated by the models was obtained.
    Table 3 gives the ternary parameters and predicted and correlated results for the ternary mixtures by using the modified and extended UNIQUAC models, along with the root mean square deviation between the experimental and calculated tie-lines for the ternary mixtures. The correlated results obtained with the models by using binary and ternary parameters are better than the predicted ones with only binary parameters. Figure 1 compares respectively the experimental LLE data and calculated results of modified UNIQUAC model for the mixtures water + ethanol + DEC, water + methanol + DEC, water + DEC + n-heptane, water + MTBE + n-heptane, and water + MTBE + DEC. The figure shows good agreement between ternary experiment LLE results and correlated results. The models can give an accurate representation for the ternary LLE by including the ternary parameters in addition to the binary ones. The LLE calculated results obtained by the modified UNIQUAC model give better agreement with the experimental results than these obtained by extended UNIQUAC.

Table 2 The results of fitting both models to the binary phase equilibria data

Mixture

T/K

Model

a12/K

a21/K

σP/mmHg

σT/K

103σx

103σy

ethanol+DEC

351.73396.02

I
II

39.99
52.62

314.36
314.13

1.6
1.6

0.1
0.1

3.0
3.0

8.9
8.9

ethanol+water

298.15

I
II

212.17
157.12

46.98
37.08

0.1
0.1

0.0
0.0

1.5
0.9

6.0
4.8

methanol+DEC

337.98392.43

I
II

121.53
183.98

583.84
583.40

2.0
2.0

0.1
0.1

3.1
3.2

3.5
3.5

methanol+water

298.14

I
II

160.39
71.81

158.59
70.15

0.6
0.6

0.0
0.0

0.6
0.6

4.0
4.1

DEC+ n-heptane

371.49398.17

I
II

31.27
69.12

144.16
181.81

1.3
1.3

0.1
0.1

0.8
0.8

8.0
7.9

DEC+MTBE

298.15

I
II

153.95
147.46

298.64
332.01

1.7
1.7

0.0
0.0

0.4
0.4

6.0
6.0

MTBE+ n-heptane

326.45366.45

I
II

171.74
174.27

100.25
78.59

2.2
2.2

0.1
0.1

1.8
1.7

5.7
5.8

water+DEC

298.15

I
II

248.21
273.66

1177.6
961.41

water+n-heptane

298.15

I
II

1022.10
1839.60

1884.20
2135.50

water+MTBE

298.15

I
II

173.24
399.09

1196.10
1023.70

I, modified UNIQUAC model.
II, extended UNIQUAC model.

Table 3 The results of fitting both models to the ternary LLE data at 25ºC

Mixture

Na

Ternary parameters

Deviationsd

Ib

IIc

Ib

IIc

water + ethanol + DEC

7

t231 = 0.0233
t132 = 0.1227
t123 = 0.5686

t231= 0.6855
t132= 1.7172
t123 = 1.4479

0.78e
2.36f

1.11
2.80

water + methanol +DEC

8

t231 = 1.4775
t132 = 1.3433
t123 = 0.6417

t231 = 1.2812
t132 = 1.2728
t123 = 2.3477

0.65
2.27

1.36
6.08

water +DEC + n-heptane

13

t231 = 0.0333
t132 = 0.1576
t123 = 0.0175

t231 = 0.0230
t132 = 0.1452
t123 = 0.8741

0.26
0.49

0.85
1.31

water + MTBE + n-heptane

14

t231 = 0.0011
t132 = 0.0301
t123 = 0.1015

t231 = 0.0010
t132 = 0.9555
t123 = 0.0105

0.31
0.38

0.32
0.47

water + MTBE + DEC

11

t231 = 0.0096
t132 = 0.1058
t123 = 0.1039

t231 = 0.0636
t132 = 0.1367
t123 = 0.1299

0.32
0.37

0.74
1.05

a N, no. of tie-lines.
b I, modified UNIQUAC model.
c II, extended UNIQUAC model.
d Root-mean-square deviations (mol%).
e Correlated results using binary and ternary parameters.
f Predicted results using binary parameters alone.



Figure 1 Experimental and calculated LLE of five ternary mixtures at 25
ºC.
- - -, experimental tie line; ——, correlated by the modified UNIQUAC model.

5. CONCLUSIONS
The experimental tie line data were measured for five ternary systems of water + ethanol + DEC, water + methanol + DEC, water + DEC + n-heptane, water + MTBE + n-heptane, water + MTBE + DEC at 298.15 K. The correlated results using the modified UNIQUAC model for the experimental ternary LLE data are much better than those obtained from the extended UNIQUAC model.

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含碳酸二乙酯或甲基叔丁基醚的三元体系液液相平衡的测定
付敏,陈瑶,胡竟华
(暨南大学化学系,广州,510632)
国家教育部留学回国人员科研基金(No.2002247),广东省科技计划基金(No.2003C33101)和广州暨南大学科研基金(No.640071)。
摘要 在298.15K和常压下,测定了五个三元体系水+乙醇+碳酸二乙酯、水+甲醇+碳酸二乙酯、水+碳酸二乙酯+正庚烷、水+甲基叔丁基醚+正庚烷、水+甲基叔丁基醚+碳酸二乙酯的液液相平衡数据,并用modified UNIQUAC 模型关联了这些实验数据,计算结果进一步地与extended UNIQUAC模型的关联计算结果进行了比较。
关键词 液液平衡,燃油添加剂,三元混合物,modified UNIQUAC和extended UNIQUAC 模型

 

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