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Thermophysical properties of binary mixtures of dimethylsulfoxide with 1-phenylethanone and 1,4-dimethylbenzene at various temperatures.

This research article reports the experimental results of the density, viscosity, refractive index, and speed of sound analysis of binary mixtures of dimethylsulfoxide (DMSO) + 1-phenylethanone (acetophenone) and + 1,4-dimethylbenzene (para-xylene) over the whole composition range at 313.15, 318.15, 323.15, and 328.15 K and at atmospheric pressure. The excess molar volumes ([V.sup.E]), viscosity deviations ([DELTA][eta]), excess Gibbs energy of activation ([G.sup.E]), deviations in isentropic compressibility ([K.sup.E.sub.S]), deviations in speed of sound ([u.sup.E]), and deviations in the molar refraction ([DELTA]R) were calculated from the experimental data. The computed quantities were fitted to the Redlich-Kister equation to derive the coefficients and estimate the standard error values. The viscosities have also been correlated with two, and three-parameter models, that is, Heric correlation, McAllister model, and Grunberg-Nissan correlation, respectively.

1. Introduction

This paper is a continuation of our ongoing research on the solution properties. Studies of the thermodynamic properties of binary mixtures play an important role in the fundamental understanding of different molecules and the interactions prevalent in them. In the present study, data on density, viscosity, refractive index, and speed of sound of binary mixtures of dimethylsulfoxide (DMSO) + 1-phenylethanone (acetophenone) and 1,4-Dimethylbenzene (para-xylene) at 313.15, 318.15, 323.15, and 328.15 K has been measured experimentally. From these results, the excess molar volumes, viscosity deviations, deviations in molar refraction, deviations in speed of sound, and isentropic compressibility have been derived. Dimethylsulfoxide is a versatile nonaqueous dipolar aprotic solvent having wide range of applications like in veterinary medicine, dermatology, microbiology, experimental immunology, and enzyme catalyzed reactions. It can easily pass through membranes, a quality which has been verified by numerous researchers. It has the ability to penetrate through living tissues without damaging them. Therefore an anesthetic or penicillin can be carried through the skin without using a needle which makes it paramount in medicinal field. Acetophenone is the simplest aromatic ketone organic compound. It can easily dissolve in water, but, since it is denser than water, it tends to sink. Its vapor is heavier than air and when inhaled in high concentrations it can be narcotic and also mild irritant to the eyes and skin. It is mostly used to create fragrances that smell like cherry, almond, strawberry, or other fruits. Acetophenone can also be found naturally occurring in fruits such as apple and banana. Para-xylene is an aromatic hydrocarbon based on benzene with two methyl substituents, opposite to each other. It is a colorless, flammable liquid and is insoluble in water. It is used as a thinner for paint and in paints and varnishes. The study of the thermodynamic properties of DMSO + 1-phenylethanone (acetophenone) and + 1,4-dimethylbenzene (para-xylene) mixtures is of interest mainly in industrial fields where solvent mixtures could be used as selective solvents for numerous reactions. In principle, interactions between the molecules can be established from the study of the deviations from ideal behavior of physical properties such as molar volume and isentropic compressibility. The negative or positive deviations from the ideal value depend on the type and the extent of the interactions between the unlike molecules, as well as on the composition and the temperature. The variation of the isentropic compressibility is analogous of that of the excess molar volume, whereas the change of the deviation in speed of sound tends to become the inverse [1]. Physical and transport properties of liquid mixtures also affect most separation procedures, such as liquid-liquid extraction, gas absorption, and distillation [2]. The mixture DMSO-p-xylene has been earlier reported twice in literature at different temperatures [1, 3].

2. Experimental Section

2.1. Materials. The chemicals used are of analytical reagent grade. Dimethylsulfoxide (DMSO) is from Riedel, Germany; 1-phenylethanone (acetophenone) and 1,4-dimethylbenzene (para-xylene) are from S-D Fine Chemicals, Mumbai. The chemicals were purified using standard procedure [4] and were stored over molecular sieves. The purity of the chemicals was verified by comparing density, viscosity, and refractive index with the known values reported in the literature as shown in Table 1. All the compositions were prepared by using SARTORIUS balance. The possible uncertainty in the mole fraction is estimated to be less than [+ or -]1 x [10.sup.-4].

2.2. Viscosity. Kinematic viscosities were measured by using a calibrated modified Ubbelohde viscometer [5]. The calibration of viscometer was done at each temperature in order to determine the constants A and B of the following equation:

v = [eta]/[rho] = At + B/t (1)

The viscometer was kept vertically in a transparent-walled water bath with a thermal stability of [+ or -]0.05 K for about 30 minutes to attain thermal equilibrium. Flow time was measured with an electronic stop watch with precision of [+ or -]0.01 s. The corresponding uncertainty in the kinematic viscosity is [+ or -]0.001 x [10.sup.-6] [m.sup.2] [s.sup.-1]. The efflux time was repeated at least three times for each composition and the average of these readings was taken. The temperature of the bath was maintained constant with the help of a circulating type cryostat (type MK70, MLW, Germany). The dynamic viscosities were found out after the DSA analysis, that is, by dividing the above found kinematic viscosity by density. The uncertainty in the values of dynamic viscosity is within [+ or -]0.003 mPa.s.

23. Density and Speed of Sound. Density and speed of sound were measured with the help of an ANTON PAAR density meter (DSA 5000). The accuracy in the measurement of density and speed of sound is [+ or -]0.000005 g [cm.sup.-3] and [+ or -]0.5 ms-, respectively. The density meter was calibrated by using triply distilled degassed water.

2.4. Refractive Index. Refractive indices were measured for sodium D-line by ABBE-3L refractometer having Bausch and Lomb lenses. The temperature was maintained constant with the help of water bath used for the viscosity measurement. A minimum of three independent readings were taken for each composition, and the average value was considered in all the calculations. Refractive index values are accurate up to [+ or -]0.0001 units.

3. Experimental Results and Correlations

At least three independent readings of all the physical property measurements of density ([rho]), viscosity ([eta]), refractive index ([n.sub.D]), and speed of sound (u) were taken for each composition and the averages of these experimental values are presented in Tables 2 and 3 for both systems. The experimentally determined values are used for the deviation calculations.

3.1. Excess Molar Volume. Density values are used to evaluate excess molar volume by the equation

[V.sup.E] = [x.sub.1] [M.sub.1] + [x.sub.2] [M.sub.2]/[rho]-[x.sub.1] [M.sub.1]/[[rho].sub.1]-[x.sub.2] [M.sub.2]/[[rho].sub.2], (2)

where [[rho].sub.1], [[rho].sub.2] are the densities of pure components and [rho] is the density of the mixture. [M.sub.1], [M.sub.2] are the molar mass of the two components and [x.sub.1], [x.sub.2] are the mole fraction of DMSO.

Excess Gibbs' free energy of activation has been also calculated using the viscosity and density of the mixture by the equation

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (3)

where R is a universal gas constant, T is the temperature of the mixture, and [eta] and [eta].sub.i] are the viscosities of the mixture and pure compound, respectively. V, [V.sub.i] refer to the molar volume of the mixture and pure components, respectively.

3.2. Viscosity Calculations. The deviation in viscosity is obtained by the following equation:

[DELTA][eta] = [eta] - [[eta].sub.1] [x.sub.1] - [[eta].sub.2] [x.sub.2], (4)

where [eta] is the viscosity of mixture and [[eta].sub.1], [[eta].sub.2] refer to the viscosities of pure components.

McAllister [6] model

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII]. (5)

Herric [6] correlation

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], (6)

and Grunberg-Nissan [7] equation

ln ([eta]) = [x.sub.1] ln ([[eta].sub.1]) + [x.sub.2] ln ([[eta].sub.2]) + [d.sub.12][x.sub.1][x.sub.2 ] (7)

have been fitted to viscosity data and it was found that both have the same standard errors at each temperature.

33. Isentropic Compressibility. The experimental results for the speed of sound of binary mixtures are listed in Tables 2 and 3. The isentropic compressibility was evaluated by using [K.sub.S] = [u.sup.-2][[rho].sup.-1] and the deviation in isentropic compressibility is calculated using the following equation:

[K.sup.E.sub.S] = [K.sub.S] - [K.sup.id.sub.S] , (8)

where [K.sup.id.sub.S] stands for isentropic compressibility for an ideal mixture calculated using Benson-Kiyohara model [8, 9]:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], (9)

where [a.sub.i] and [C.sub.p] are the thermal expansion coefficient and molar heat capacity of the ith components, respectively.

The deviation in speed of sound is given by

[DELTA]u = u - [x.sub.1][u.sub.1] - [x.sub.2] [u.sub.2]. (10)

3.4. Molar Refraction. Refractive indices have been used for the calculation of molar refraction ([R.sub.m]) that is obtained by using Lorentz-Lorenz equation [8].

Deviation in molar refraction ([DELTA]R) is calculated by the following equation:

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], (11)

where [n.sub.D] refers to the refractive index, [R.sub.m] is molar refraction of the mixture, [R.sub.i] is molar refraction of the ith component, and [PHI] is ideal state volume fraction.

All the deviations ([V.sup.E] , [DELTA]R, [DELTA][eta], [DELTA]u, and [K.sup.E.sub.S]) have been fitted to Redlich-Kister polynomial regression of the type

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (12)

to derive the constant [A.sub.i] using the method of the least square. Standard deviation for each case is calculated by

[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], (13)

where m is the number of data points and n is the number of coefficients. Derived parameters of the Redlich-Kister equation (12) and standard deviations (13) are presented in Tables 4 and 5.

4. Discussions

The excess molar volume from 313.15 to 328.15 K versus the mole fraction of both mixtures with respect to DMSO is shown in Figure 1. The molar volume of the mixtures and the viscosity data have been used for the calculation of Gibbs' free energy presented in Figure 5. The [V.sup.E] values decrease with increasing temperatures for the systems but are positive in case of DMSO-acetophenone mixture and negative for DMSO-p-xylene mixture. Treszczanowicz et al. [10] and Roux and Desnoyers [11] suggested that [V.sup.E] is the resultant contribution from several opposing effects. These effects can be primarily divided into three types, namely chemical, physical, and structural. A physical contribution, that is, specific interactions between the real species present in the mixture, contribute in negative terms to [V.sup.E]. The chemical or specific intermolecular interactions result in a volume decrease, and these include charge transfer type forces and other complex forming interactions. This effect also contributes in negative values to [V.sup.E]. The structural contributions are mostly negative and can arise from several effects, especially from changes of free volume and interstitial accommodation. In other words, structural contributions arising from geometrical fitting of one component into the other due to the differences in the free volume and molar volume between components lead to a negative contribution to [V.sup.E]. The viscosity and deviations are presented in Table 2 and plotted in Figure 2, respectively, for both systems. The viscosity deviations decrease with the increase in temperature for both systems. The negative [DELTA][eta] values are generally observed for systems where dispersion or weak dipole-dipole forces are primarily responsible for interaction between the component molecules. The viscosity data is also fitted to the two, and the three-parameter models, that is, Herric correlation, the McAllister model, and Grunberg-Nissan correlation, and the evaluated parameters are presented in Tables 6 and 7. The deviations in molar refraction for both systems are shown in Figure 3. The [DELTA]R values are positive for acetophenone system for the whole composition range which goes on increasing as the temperature of the solution increases. The [DELTA]R values are negative for para-xylene system for the whole composition range which goes on decreasing as the temperature of the solution increases. In general, the negative values of [DELTA]R suggest that we have weak interactions between the component molecules in the mixture. The results of excess isentropic compressibility ([K.sup.E.sub.S]) are also plotted in Figure 4. The deviations for DMSO-acetophenone system are initially negative and then become positive when mole fraction is around 0.5, whereas for DMSO-p-xylene system they are negative over the entire composition range. Deviation in Gibbs free energy for DMSO-acetophenone system follows an arbitrary path, going from negative to positive and vice versa twice, while for DMSO-para-xylene system the deviations are negative and increase with increasing temperature.

Symbols Used

[A.sub.1], [A.sub.2],[A.sub.3], [A.sub.4]: Parameters of Redlich-Kister equation

[A.sub.12], [A.sub.21]: Interaction coefficients of McAllister model

[[alpha].sub.12],[[??].sub.12]: Coefficients of Herric's correlation

v: Kinematic viscosity ([m.sup.2][s.sup.-1])

[rho]: Density (g [cm.sup.-3])

R: Universal gas constant (8.314 J[mol.sup.-1][K.sup.-1])

T: Absolute temperature (K)

[d.sub.12]: Grunberg-nissan parameter

[[PHI].sub.i]: Volume fraction (dimensionless).

[sigma]: Standard deviation

[alpha]: Thermal expansion coefficient ([K.sup.-1])

[eta]: Dynamic viscosity (mPa*s)

[DELTA][G.sup.E]: Excess Gibbs free energy (J[mol.sup.-1])

[V.sup.E]: Excess molar volume ([m.sup.3][mol.sup.-1])

[DELTA][K.sup.E.sub.S]: Excess isentropic compressibility ([TPa.sup.-1])

Conflict of Interests

The authors declare that there is no conflict of interests regarding the publication of this paper.

References

[1] M. M. Palaiologou, G. K. Arianas, and N. G. Tsierkezos, "Thermodynamic investigation of dimethyl sulfoxide binary mixtures at 293.15 and 313.15 K," Journal of Solution Chemistry, vol. 35, no. 11, pp. 1551-1565, 2006.

[2] K. Zhang, J. Yang, X. Yu, J. Zhang, and X. Wei, "Densities and viscosities for binary mixtures of poly(ethylene glycol) 400 + dimethyl sulfoxide and poly(ethylene glycol) 600 + water at different temperatures," Journal of Chemical and Engineering Data, vol. 56, no. 7, pp. 3083-3088, 2011.

[3] A. Ali, A. K. Nain, D. Chand, and R. Ahmad, "Viscosities and refractive indices of binary mixtures of dimethyl sulphoxide with some aromatic hydrocarbons at different temperatures: an experimental and theoretical study," Journal of the Chinese Chemical Society, vol. 53, no. 3, pp. 531-543, 2006.

[4] J. A. Riddick, W. B. Bunger, and T. K. Sakano, Organic Solvents: Physical Properties and Methods of Purifications, vol. 2 of The chniques of Chemistry, John Wiley & Sons, New York, NY, USA, 1986.

[5] V. K. Rattan, S. Kapoor, and K. Tochigi, "Viscosities and densities of binary mixtures of toluene with acetic acid and propionic acid at (293.15, 303.15, 313.15, and 323.15) K," Journal of Chemical and Engineering Data, vol. 47, no. 5, pp. 1182-1184, 2002.

[6] R. A. McAllister, "The viscosity of liquid mixtures," AIChE Journal, vol. 6, pp. 427-431, 1960.

[7] L. Grunberg and A. H. Nissan, "The energies of vaporisation, viscosity and cohesion and the structure of liquids," Transactions of the Faraday Society, vol. 45, pp. 125-137, 1949.

[8] G. C. Benson and O. Kiyohara, "Evaluation of excess isentropic compressibilities and isochoric heat capacities," The Journal of Chemical Thermodynamics, vol. 11, no. 11, pp. 1061-1064, 1979.

[9] G. Douheret, M. I. Davis, I. J. Fjellanger, and H. Hoiland, "Ultrasonic speeds and volumetric properties of binary mixtures of water with poly(ethylene glycol)s at 298.15 K," Journal of the Chemical Society - Faraday Transactions, vol. 93, no. 10, pp. 1943-1949, 1997.

[10] A. J. Treszczanowicz, O. Kiyohara, and G. C. Benson, "Excess volumes for n-alkanols +n-alkanes IV. Binary mixtures of decan-1-ol +n-pentane, +n-hexane, +n-octane, +n-decane, and +n-hexadecane," The Journal of Chemical Thermodynamics, vol. 13, no. 3, pp. 253-260, 1981.

[11] A. H. Roux and J. E. Desnoyers, "Association models for alcohol-water mixtures," Journal of Proceedings of the Indian Academy of Sciences: Chemical Sciences, vol. 98, no. 5-6, pp. 435-451.

Dr. SSB University Institute of Chemical Engineering and Technology, Panjab University, Chandigarh 160014, India

Correspondence should be addressed to Harmandeep Singh Gill; harman gill@outlook.com

Received 18 September 2013; Revised 10 December 2013; Accepted 1 January 2014; Published 24 February 2014

Academic Editor: K. A. Antonopoulos

Copyright [C] 2014 H. S. Gill and V. K. Rattan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

TABLE 1: Physical properties of the components at 298.15 K.

Component      [rho] ([g.cm.sup.-3])             [eta] (mPa-s)
               Exptl.       Lit.             Exptl.        Lit.

Acetophenone   1.0283  [1.0263.sup.17]      0.01681  [0.01681.sup.17]
DMSO           1.0940   1.09537             1.9834    1.9910
p-Xylene       8.5661  [8.5662.sup.16]      0.609    [0.611.sup.16]

Component           [n.sub.D]
               Exptl.       Lit.

Acetophenone   1.5050  [1.5005.sup.17]
DMSO           1.4798   1.4775
p-Xylene       1.4933  [1.4933.sup.16]

Table 2: Refractive indices, [n.sub.D], density, [rho], speed of sound,
u, and viscosity, [eta], for DMSO(l) + acetophenone(2) system at
different temperatures.

[x.sub.1]    [n.sub.D]               [rho]                    u
                                ([g * cm.sup.-3])     ([m*s.sup.-1])
                            DMSO(1) + acetophenone(2)

                                    313.15 K
0.00000       1.5142                 1.0106                1421.81
0.17422       1.5090                 1.0173                1424.53
0.31320       1.5046                 1.0238                1426.25
0.43453       1.5001                 1.0300                1427.15
0.54292       1.4955                 1.0361                1427.99
0.63921       1.4915                 1.0430                1428.88
0.72696       1.4877                 1.0502                1430.33
0.80600       1.4841                 1.0578                1432.57
0.87681       1.4806                 1.0651                1434.55
0.94521       1.4771                 1.0730                1436.77
1.00000       1.4742                 1.0802                1438.85
                                   318.15 K
0.00000       1.5102                 1.0072                1403.51
0.17422       1.5055                 1.0144                1406.42
0.31320       1.5011                 1.0208                1408.41
0.43453       1.4967                 1.0271                1409.52
0.54292       1.4921                 1.0332                1410.57
0.63921       1.4880                 1.0400                1411.59
0.72696       1.4843                 1.0476                1413.17
0.80600       1.4807                 1.0549                1415.38
0.87681       1.4772                 1.0623                1417.55
0.94521       1.4735                 1.0700                1419.97
1.00000       1.4703                 1.0768                1422.30
                                   323.15 K
0.00000       1.5061                 0.9987                1385.35
0.17422       1.5019                 1.0064                1388.33
0.31320       1.4978                 1.0134                1390.60
0.43453       1.4933                 1.0199                1391.91
0.54292       1.4887                 1.0261                1393.10
0.63921       1.4847                 1.0332                1394.32
0.72696       1.4810                 1.0408                1396.05
0.80600       1.4775                 1.0486                1398.30
0.87681       1.4739                 1.0560                1400.55
0.94521       1.470                  1.0636                1403.10
1.00000       1.4665                 1.0702                1405.68
                                   328.15 K
0.00000       1.5030                 0.9856                1367.34
0.17422       1.4991                 0.9944                1370.47
0.31320       1.4950                 1.0024                1372.93
0.43453       1.4904                 1.0095                1374.35
0.54292       1.4859                 1.0168                1375.75
0.63921       1.4817                 1.0245                1377.15
0.72696       1.4780                 1.0331                1379.00
0.80600       1.4744                 1.0417                1381.30
0.87681       1.4707                 1.0498                1383.50
0.94521       1.4668                 1.0583                1386.10
1.00000       1.4630                 1.0655                1389.12

[x.sub.1]      [eta]
              (mPa.s)

0.00000       1.2920
0.17422       1.3093
0.31320       1.3150
0.43453       1.3180
0.54292       1.3609
0.63921       1.4000
0.72696       1.4295
0.80600       1.4515
0.87681       1.4721
0.94521       1.4959
1.00000       1.5169

0.00000       1.1161
0.17422       1.1362
0.31320       1.1459
0.43453       1.1633
0.54292       1.2100
0.63921       1.2550
0.72696       1.2873
0.80600       1.3150
0.87681       1.3400
0.94521       1.3707
1.00000       1.3968

0.00000       1.0645
0.17422       1.0659
0.31320       1.0735
0.43453       1.0870
0.54292       1.1275
0.63921       1.1675
0.72696       1.1969
0.80600       1.2205
0.87681       1.2425
0.94521       1.2675
1.00000       1.2972

0.00000       0.9873
0.17422       0.9815
0.31320       0.9875
0.43453       1.0010
0.54292       1.0405
0.63921       1.0770
0.72696       1.1065
0.80600       1.1305
0.87681       1.1505
0.94521       1.1755
1.00000       1.2086

TABLE 3: Refractive indices, [n.sub.D], density, [rho], speed of sound,
u, and viscosity, [eta], for DMSO(l) + p-xylene(2) system at
different temperatures.

[x.sub.1]    [n.sub.D]            [rho]               u
                             ([g*cm.sup.-3])     ([m*s.sup.-1])
                           DMSO(1) + p-xylene(2)

                               313.15 K
0.00000       1.4850             0.8445                 1247.96
0.15820       1.4843             0.8720                 1264.82
0.30056       1.4839             0.8999                 1281.64
0.42694       1.4828             0.9293                 1297.89
0.52448       1.4813             0.9577                 1310.14
0.62739       1.4790             0.9923                 1325.23
0.72506       1.4778             1.0233                 1346.79
0.80799       1.4765             1.0477                 1373.38
0.87462       1.4747             1.0557                 1395.79
0.94123       1.4727             1.0723                 1418.20
1.00000       1.4717             1.0802                 1439.15
                               318.15 K
0.00000       1.4831             0.8395                 1227.99
0.15820       1.4823             0.8665                 1246.38
0.30056       1.4816             0.8942                 1263.94
0.42694       1.4803             0.9233                 1281.67
0.52448       1.4789             0.9517                 1295.39
0.62739       1.4767             0.9870                 1310.77
0.72506       1.4754             1.0183                 1331.90
0.80799       1.4737             1.0417                 1358.39
0.87462       1.4719             1.0497                 1380.68
0.94123       1.4701             1.0668                 1404.05
1.00000       1.4690             1.0768                 1423.09
                               323.15 K
0.00000       1.4812             0.8348                 1207.94
0.15820       1.4802             0.8610                 1226.95
0.30056       1.4794             0.8882                 1245.22
0.42694       1.4777             0.9167                 1263.54
0.52448       1.4761             0.9443                 1277.98
0.62739       1.4744             0.9804                 1292.79
0.72506       1.4727             1.0110                 1314.76
0.80799       1.4710             1.0333                 1340.33
0.87462       1.4690             1.0410                 1363.23
0.94123       1.4675             1.0590                 1385.97
1.00000       1.4665             1.0702                 1404.14
                               328.15 K
0.00000       1.4793             0.8298                 1188.15
0.15820       1.4781             0.8553                 1208.59
0.30056       1.4771             0.8823                 1227.53
0.42694       1.4754             0.9106                 1247.59
0.52448       1.4736             0.9377                 1262.23
0.62739       1.4715             0.9733                 1278.99
0.72506       1.4699             1.0045                 1300.23
0.80799       1.4683             1.0261                 1325.12
0.87462       1.4663             1.0341                 1348.21
0.94123       1.4652             1.0530                 1370.98
1.00000       1.4640             1.0655                 1388.57

[x.sub.1]     [eta]
              (mPa*s)

0.00000       0.5175
0.15820       0.5979
0.30056       0.6777
0.42694       0.7389
0.52448       0.8106
0.62739       0.8875
0.72506       0.9889
0.80799       1.0997
0.87462       1.2275
0.94123       1.3757
1.00000       1.5116

0.00000       0.4923
0.15820       0.5675
0.30056       0.6422
0.42694       0.6971
0.52448       0.7555
0.62739       0.8179
0.72506       0.9090
0.80799       1.0220
0.87462       1.1401
0.94123       1.2705
1.00000       1.3822

0.00000       0.4603
0.15820       0.5401
0.30056       0.6030
0.42694       0.6550
0.52448       0.7107
0.62739       0.7697
0.72506       0.8557
0.80799       0.9776
0.87462       1.0895
0.94123       1.1999
1.00000       1.2972

0.00000       0.4385
0.15820       0.5150
0.30056       0.5707
0.42694       0.6092
0.52448       0.6579
0.62739       0.7175
0.72506       0.7917
0.80799       0.9158
0.87462       1.0109
0.94123       1.1152
1.00000       1.1974

TABLE 4: Derived parameters of Redlich-Kister equation (12) and
standard deviation (13) for various functions of the binary mixtures at
different temperatures (DMSO-acetophenone).

T/K        [A.sub.0]  [A.sub.1]                           [A.sup.2]
                                 [V.sup.E] ([cm.sup.3]
                                 *[mol.sup.-1])

313.15      1.2005       0.741                            -0.1784
318.15      1.0176       0.7493                           -0.5481
323.15      0.7709       0.8700                           -0.7689
328.15      0.6714       0.9374                           -0.9528
                                 [DELTA][eta] (mPa*s)
313.15     -0.2371       0.2135                            0.2487
318.15     -0.2575       0.2259                            0.1846
323.15     -0.2722       0.2375                            0.0974
328.15     -0.2887       0.2407                            0.0508
                                 [K.sup.E.sub.s]
                                 ([TPa.sup.-1])
313.15      4.8515      15.4271                           -1.3121
318.15      3.5099      15.7048                           -1.8315
323.15      2.0047      21.1502                           -4.7008
328.15      0.0146      15.1308                           -2.0538
                                 [DELTA]R
313.15      0.06817      0.039577                         -0.06186
318.15      0.102475     0.056959                         -0.00441
323.15      0.147987     0.106458                          0.080891
328.15      0.175329     0.134545                          0.138756
                                 [DELTA][G.sup.E]
                                 ([J*[mol.sup.-1])
313.15    -66.3882     516.3512                          492.0794
318.15   -141.309      625.565                           410.846
323.1    -234.912      700.1368                          230.6251
328.5    -321.946      780.1317                          132.3463

T/K           [A.sup.3]      [sigma]

313.15        -0.6838         0.01377
318.15        -0.7711         0.01379
323.15        -1.2620         0.01527
328.15        -1.3257         0.01381

313.15        -0.4972         0.00461
318.15        -0.4935         0.00323
323.15        -0.4693         0.00309
328.15        -0.4755         0.00290


313.15       -12.5359         0.11076
318.15       -12.902          0.09236
323.15       -34.8976         0.44672
328.15       -11.8737         0.17247

313.15        -0.09945        0.006271
318.15        -0.06411        0.003073852
323.15        -0.10664        0.005976
328.15        -0.14317        0.008927


313.15      -981.8602         9.00998
318.15     -1119.199          7.38255
323.15     -1143.3850         7.33602
328.15     -1256.91           7.21134

TABLE 5: Derived parameters of Redlich-Kister equation (12) and
standard deviation (13) for various functions of the binary mixtures at
different temperatures (DMSO-p-xylene).

T/K         [A.sub.0]     [A.sub.1]                            [A.sub.2]

                                      [V.sub.E] ([cm.sup.3]
                                      *[mol.sup.-1])
313.15        -8.5850      -15.1234                       -6.084
318.15        -8.2010      -15.9715                       -5.4345
323.15        -7.7110      -16.483                        -4.7908
328.15        -7.1898      -16.3123                       -4.0863
                                      [DELTA][eta]
                                      (mPa*s)
313.15        -0.9028       -0.7268                       -0.2127
318.15        -0.8069       -0.7852                       -0.1061
323.15        -0.7589       -0.7364                        0.093
328.15        -0.7126       -0.6943                        0.2137
                                      [K.sup.E.sub.s]
                                      ([TPa.sup.-1])
313.15      -119.0039      -64.4234                      -74.9361
318.15      -137.2976      -76.3846                      -70.5856
323.15      -148.0003      -81.8649                      -67.7606
328.15      -166.5237      -92.1709                      -61.6439
                                      [DELTA]R
313.15       -3.25811      4.787247                       -1.77213
318.15       -3.20078      4.955419                       -1.49922
323.15       -3.14001      5.033874                       -1.26969
328.15       -3.0793       5.147192                       -1.01287
                                      [DELTA][G.sup.E]
                                      (J*[mol.sup.-1)
313.15    -1022.2560       -1753.98                     -140.348
318.15    -1013.8590       -2190.4                        88.3584
323.15    -1011.6820       -2200.58                      769.1765
328.15    -1113.8360       -2249.67                     1294.863

T/K        [A.sub.3]     [sigma]

313.15      12.8652      0.15687
318.15      15.6022      0.17024
323.15      17.7396      0.19337
328.15      18.0512      0.20482


313.15       0.25        0.00553
318.15       0.5942      0.00475
323.15       0.6582      0.00619
328.15       0.6476      0.0067


313.15     -36.2431      1.03835
318.15     -21.5844      0.97745
323.15     -17.6011      0.84832
328.15      -2.9525      0.87227

313.15      -3.9986      0.226222
318.15      -4.5735      0.239049
323.15      -4.89488     0.245337
328.15      -5.28097     0.254675


313.15    1173.282      15.8755
318.15    2252.137      14.30563
323.15    2310.619      22.20041
328.15     2307221      24.1139

TABLE 6: Interaction parameters for the McAllister model (5), Herric
correlation (6), and Grunberg-Nissan correlation (7) for viscosity at
different temperatures (DMSO-acetophenone).

                           McAllister
                             model
T/K      [eta]                              [eta]          [sigma](eta)/
                                                           mPa*s

313.15   1.3242                             1.3473         0.00016
318.15   1.350624                           1.334886       0.00025
323.15   1.377883                           1.314174       0.00038
328.15   1.348994                           1.240874       0.00042

                              Herric
                           correlation
T/K      [[alpha].sub.12]                   [[??].sub.12]  [sigma](eta)/
                                                           mPa*s

313.15   -0.02338                           -0.01368       0.00016
318.15   -0.0.26                            -0.01677       0.00025
323.15   -0.02874                           -0.01993       0.00038
328.15   -0.03047                           -0.02084       0.00042

                           Grunberg-Nissan
                             correlation

T/K                          [d.sub.12]                   [sigma](eta)/
                                                          mPa*s

313.15                       -0.0956181                   0.156414
318.15                       -0.1201454                   0.095161
323.15                       -0.1618181                   0.124392
328.15                       -0.1988545                   0.2077

TABLE 7: Interaction parameters for the McAllister model (5), Herric
correlation (6), and Grunberg-Nissan correlation (7) for viscosity at
differnt temperatures (DMSO-p-xylene).

                         McAllister
                           model
T/K     [[eta].sub.12]                   [[eta].sub.12]   [sigma](eta)/
                                                          mPa*s

313.15  1.04511700                       0.88014850       0.00304
318.15  1.03668800                       0.87514410       0.00310
323.15  1.02613100                       0.87012170
328.15  1.01597400                       0.86517980

                           Herric
                        correlation
T/K     [[eta].sub.12]                   [[??].sub.12]    [sigma](eta)/
                                                          mPa*s

313.15  0.04364338                       0.13563440       0.00304
318.15  0.03664824                       0.13067020       0.00310
323.15  0.03026920                       0.12422880       0.00325
328.15  0.02245963                       0.11706220       0.00327

                        Grunberg-Nissan
                        correlation
                        [d.sub.12]                        [sigma](eta)/
T/K                                                       mPa*s

313.15                                   -0.408281        0.01591
318.15                                   -0.377472        0.025161
323.15                                   -0.320472        0.01239
328.15                                   -0.312945        0.02016
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Title Annotation:Research Article
Author:Gill, Harmandeep Singh; Rattan, V.k.
Publication:Journal of Thermodynamics
Article Type:Report
Geographic Code:1USA
Date:Jan 1, 2014
Words:5058
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