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Volumetric Behaviour of Binary Liquid Mixtures at a Temperature of 303.15 K

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Volumetric Behaviour of Binary Liquid Mixtures at a Temperature of303.15 K Bull. Korean Chem. Soc. 2002, Vol. 23, No. 7 953

Volumetric Behaviour of Binary Liquid Mixtures at a Temperature of 303.15 K

Mohammad A. WahabJ M. Azhar Ali,* and Mohammad A Mottaleb*

‘Department of Polymer Science and Engineering, College of Engineering, Pusan National University, Pusan 609-735, Korea

^Department of Chemistry, University of Rajshahi, Rajshahi 6205, Bangladesh

Environmental Science Division, National Exposure Research Laboratory, US Environmental Protection Agenc^y, P.O. Box, 93478, Las Vegas, NV89193-3478, USA

Received January 22, 2002

Excess molar volumes (VmE) of binary liquid mixtures: XC6H5CH3 + (l-xi)CHaCN or + (I-XDC6H5NO2, or + (I-XDC2H5NO2 have been determined as a function of mole fraction of C6H5CH3 (x) at a temperature of 303.15 K over a entire range of composition. The densities of the binary liquid mixtures were determined by pycnometrically. The VmEvalues of the mixtures have been found to be negative over the whole composition in order of C6H5CH3 + C6H5NO2, < C6H5CH3 + CH3CN, and < C6H5CH3 + C2H5NO2. The negative magnitude of VmE suggests the presence of intermolecular interaction in the three binary liquid mixtures.

Keywords : Excess molar volumes, Toluene, Nitrobenzene, Nitroethane, Acetonitrile.

Introduction

For thepasttwodecades, aconsiderable progress hasbeen made in theoretical understanding of liquid-liquid binary mixture. Besidesthetheoreticalimportance,theknowledge of physicochemical propertiesofmulti-components mixtures is indispensable for many chemicalprocess industries. Ex­

amples arethe petroleum, petrochemical etc. are commonly used in industries where physicochemical processes are involved to handle the mixtures ofhydrocarbons, alcohols, aldehydes, ketones etc. Importantly, for accurate designing equipment it is necessary to know the interaction between thecomponentsof mixtures.Physicochemical analysismethod can be used for getting sound information for a specific interaction between thecomponents and the structure of the binary liquid mixtures.The thermodynamicstudies of binary solutions have attracted much attention of scientists and experimental dataon a number of systemsareavailablefrom review andpublications.1-12

In theframeworkofa research work, whichaimsto study thethermodynamicproperties ofbinary liquid mixtures with different components. We also reported some works of binary mixtures.13-19 This paper will describe the excess molar volumes of xC&H5CH3 + (l-xi)CHsCN, or (1-xi)- C6H5NO2, or (1-xi)C2H5NO2 in obtaining the interaction information of all the binary liquid mixtures. The compo­

nents consideredin the paperareC6H5CH3, CH3CN, C6H5NO2, and C2H5NO2 at the temperature 303.15 K. This is a continuation of our previous investigation.

Experimental Section

Materia and Procedure. The toluene (purity 99.5%,

^Corresponding Author, EPA/NRC Postdoctoral Research Asso­

ciate, Fax: +1-702-798-2142, E-mail: Mottaleb.Mohammad@

epamail.epa.gov

Merck), acetonitrile (purity99%, Fluka), nitrobenzene (purity 99.5%, Merck), and nitroethane (purity 99.5%, Metheson,) wereused. The densities of thepure components and binary mixtures were measured by pycnometrically and were reportedelsewhere.15,17 Special attention was given toavoid the evaporation of solutions after preparation. The purity of chemicals was checked by comparing with their densities with literature values,20,21 and obtained values gave a good agreement with reported values.22 The comparative results are shown inTable 1.Thevalues of density of thechemicals at the working temperatureare, howevernot available in the literature, we obtained those valuesat working temperature byplottingthe reported values, and consideringthe density as a linear functionof temperature.

The VmE of different binary mixtureswerecalculated from the measured values of the densities (p) of all the liquid binary mixtures using equation (1):

VmE/cm3mol-1 = (x1M1 + x2M2)pm - x1M1/p1 - 乂扑시

2

(1) Where M1 and M2 represent the molar masses of compo­

nents 1 and 2, respectively. The x1 and x2 are the mole fractions of 1 and2 componentshavingdensitiesp and P2, respectively. The pm is experimentally observed density of the binary liquid mixtures. All measurements were carried out in a thermostatically controlled and well-stirred water bath with a temperature accuracy of ±0.01 oC, read on Beckmann thermometer.

Results

Table 2 representstheexperimentalresults forVmE obtain­

ed from liquid mixtures: xC6H5CH3 + (1-x1)CH3CN, or (1- x1)C6H5NO2, or (1-x1)C2H5NO2 systems at a temperature of 303.15 K. The observed results of VmE werefittedby least square method to four parameterRedlichKister23 equation (2) as follow;

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954 Bull. Korean Chem. Soc. 2002, Vol. 23, No. 7 Mohammad A. Wahab et al.

Table 1. Comparison between experimental and literature values of densities (g cm-3) at a temperature of 20 oC

C6H5CH3 CH3CN C6H5NO2 C2H5NO2

Experimental Literature Experimental Literature Experimental Literature Experimental Literature

0.8669 0.8669 0.7855 0.7857 1.2036 1.2037 1.0440 1.0444

Table 2. Excess molar volumes (VmE), and each point of deviations {xCgHsCH% + (1-xi) CH3CN, + (1-xi) C6H5NO2, and + (1-xi) C2H5NO2} C6H5CH3 + CH3CN mixture C6H5CH3 + C6H5NO2 mixture C6H5CH3 + C2H5NO2 mixture Mole fraction

(x)

VnE cm3/mol

Deviation cm3/mol

Me fraction (x)

VnE cm3/mol

Deviation cm3/mol

Mole fraction (x)

VnE cm3/mol

Deviation cm3/mol

0.0999 -0.1260 -0.0020 0.1099 -0.2556 0.0033 0.1000 -0.0584 0.0010

0.1999 -0.2461 -0.0018 0.2012 -0.4865 -0.0028 0.2004 -0.0971 -0.0010

0.3006 -0.3363 0.0057 0.3014 -0.6568 -0.0008 0.2994 -0.1361 -0.0003

0.4016 -0.4013 0.0018 0.4015 -0.7199 0.0005 0.3976 -0.1720 0.0033

0.5004 -0.4286 -0.0080 0.4987 -0.6888 -0.0012 0.4989 -0.2092 -0.0010

0.5979 -0.3968 -0.0010 0.5981 -0.5808 0.0062 0.5995 -0.2254 -0.0033

0.6964 -0.3259 0.0062 0.7005 -0.4559 -0.0042 0.6984 -0.2082 -0.0006

0.7985 -0.2331 0.0007 0.8043 -0.3156 -0.0037 0.7974 -0.1541 0.0064

0.8967 -0.1247 -0.0038 0.8980 -0.1792 0.0049 0.8986 -0.0893 -0.0050

3

VmE/cm3 mol-1 = xi(I-xi)

(Aj (2xi-1)^' (2)

j =0

Thevalues of the parameterAj, obtained by a least square method with all points, are summarized in the Table 2 along with each point of deviations. The parameters Aj and standard deviation are given in the Table 3. For all the mixtures, S(VmE)< 0.005 cm3 mol-1 showinga good accuracy attainable with the pycnometerused in thisresearch.

Discussion

Figure 1 indicatesthe VmEof all three mixtures:xC6HKH3

+(LxDCHKN,xCH5CH3 +(1-x1)C6H5NO2, and xC6HKH3

+(1-x1)C2H5NO2 as afunctionof mole fraction ofC6H5CH3

(x). The VmE for the CH5CH3 +CH3CNmixture in Figure 1 decrease with increase of C6H5CH3 concentration and pass through a point at about x(C6H5CH3)=0.5004 and then increases when the concentration of C6H5CH3 component is increased in the mixture. For liquid mixtures; C6H5CH3 + C6H5NO2 and C6H5CH3 +C2H5NO2 systems,the VmE decrease with increasing the mole fraction of C6H5CH3(x) and pass through a minimumvalueataboutx(C6H5CH3) = 0.4987 and 0.5995, respectively. And then it increases with mole frac­ tion of C6H5CH3. The sequence of themagnitude of excess molar volumeagainst themole fraction of the C6H5CH3 for Table 3. The values of the parameters Aj (A0, A1, A2, and A3) and the standard deviation (S) for all the three binary mixtures of the Redlich-Kister equation at a temperature of 303.15 K

xC6H5CH3 Ao, cm3/mol

A1, cm3/mol

A2, cm3/mol

A3,

cm3/mol S,

± (1-x) CH3CN -1.6825 0.0823 0.5359 -0.0507 0.00568 (1-x) C6H5NO2 -2.7464 1.4824 0.6958 -1.7530 0.00047 (1-x) C2H5NO2 -0.8340 0.4977 0.1047 -0.4717 0.00425

Figure 1. Effect of excess molar volumes (VmE) on composition of the mixtures; 乂16压。氏 and (1-x1)CH3Cn, 乂16氏。认 and (1- x1)C6H5NO2, and 乂16氏。压 + (1-x)C2H5NO2 at a temperature of 303.15 K. The terms T, AN, NB, and NE inset represent the toluene, acetonitrile, nitrobenzene and nitroethane respectively.

theliquidmixturesmaybedue to presence of different ionic interactions orarrangements withinthe mixtures. The fol­ lowingdiscussionshave been made forthis.

AccordingtoFort and Moore,24 a negative excessvolume is anindication of strong heteromolecular interaction in the liquid mixtures andis attributed to charge-transfer, dipole­

dipole, dipole-induced-dipoleinteractions andhydrogen bond­ ing between the unlike components, while a positive sign indicates aweak interaction and is attributed to depersive force (Londonforces), which are likely to be operative in every cases. The magnitudes of the contributions made by thedifferenttypes of interactionswillvary with the compo­

nents and compositionofthe mixtures. Inthepresent investi­

gation,however,allthethreemixturesgavenegativemagni­ tude of VmE, depictthepresence ofheteromolecular interac­

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Volumetric Behaviour of Binary Liquid Mixtures at a Temperature of303.15 K Bull. Korean Chem. Soc. 2002, Vol. 23, No. 7 955 tion in all the binary liquidmixtures,whichsupporttheFort

and Mooreobservation.

The VmE(Figure 1) forC6H5CH3 + CH3CNmixturescan be explained as (i) specific interaction betweenthe unlike molecules, and (ii) geometric effect due to difference in molar volumes. In C6H5CH3 + CH3CNmixture, C6H5CH3 is a non-polaraprotic solvent, and the solvents that liesin the aprotic class are noteffective in stabilizingthedevelopment of charge separation. The molecules of these liquids have small dipole momentsand do not have protons capable of forminghydrogen bonding.25 So in C6H5CH3 molecule,there is a possibility of interaction between mnd systems. In valence bond theory, a special type of resonance called hyper-conjugation is used to describe the interaction.25In valence bond language, ‘nobond’ resonance structures are introduced to indicate this electronic interaction as shown below.

Due to this resonance, thenegative charge on the methyl­

ene group of C6H5CH3 molecule is stabilized, so that the hydrogen atom has a positive charge and in C6H5CH3 + CH3CNmixture,theremay bean interaction between hydro­

gen atom of theC6H5CH3 molecule and nitrogenatom of the CH3CN. The interaction can beshown asfollow;

The C6H5CH3 molecule has an alternate n bond system which overlapstoform a cloud of electrons located centrally above and below the ring, making it highly susceptible to interaction with electrophilicor electron deficientmolecules.

In C6H5CH3 + CH3CN mixture, there would be dipole- induced-dipoleinteraction between-CNgroup of acetonitrile and aromatic ring of toluene. The interaction is greater than thedispersiveanddipole-dipolebreaking interaction. A weak charge transfer complex may be formed due totheelectron donor ability of the methyl group in C6H5CH3 and weak electron acceptor ability of the CH3CN, which is a donor- aceptor type of interaction. This results in negative VmE.

Interstitial accommodation ofsmall acetonitrile molecules (molarvolumes 41.05 at30 oC) betweenthetoluene mole­

cules (molarvolumes 92.14 at 30oC) may lead to a further decrease of the VmE values. Dewan et al.26 reported the excess molar volumes ofethylbenzene+acetonitrilemixture at a temperature of 303.15 K. They reported the negative values of VmE but small positive values at very low mole fractions (xi < 0.002) of ethylbenzene were also observed.

The general shape of our experimental VmE of C6H5CH3 + CH3CN asa functionof mole fraction are goodagreement with thereportedvalues27 for bezonitrile+ toluene.

The VmEof ⑴ C6H5CH3 + C6H5NO2 and (ii) C6H5CH3 + C2H5NO2 systems can be explained in the terms of (i) specific interaction betweenthepolarnitro-compoundsand the aromatic ring which behaves as an electrondonor and (ii) stericeffect,respectively. Introduction of a methyl-group inthe benzene ring wouldincrease the liable nature of the electrons ofthe aromatic ring oftoluene.28 Therefore C6H5CH3

would interact strongly with polarC2H5NO2 moleculesand result in decrease involume of the mixture. Among the C2H5NO2 and C6H5NO2 molecules, the polarity of nitro­ benzene is expectedtobemore than thenitro-ethane dueto the replacement of electron releasing ethyl-group with a benzene ring and would be greater specific interaction in C6H5CH3 + C6H5NO2 mixture resulting in a negative VmE value of greater magnitude.Relativelylow electron cloudin C6H5NO2 thanthat of C2H5NO2 would allow more efficient packingin the C6H5CH3 + C6H5NO2 mixture, leading to a further decrease of VmE. Marsh et al.29 has reported VmE values forbenzene + nitroethane at 298.15 K, which are negative and sigmoid nature. The VE values reported by Dewan etal.26at 303.15 K. Itwaspositive for ethylbenzene +nitroethanemixtureat xi< 0.45and negative for toluene+ nitro-ethane system.

Conclusion

Thenegativemagnitude of the VmE suggeststhe presence of a intermolecular interaction in all thethree binary liquid mixtures and subsequently presumed that the weak electron donoracceptorinteractionfor C6H5CH3 + CH3CN and the specific interaction between the polar nitro-group of the C6H5NO2 and theC2H5NO2 with theliable n electrons of the aromatic ring behavedas an electron donor. The study also shows that the ability of interaction of the nitro-group of C6H5NO2 with C6H5CH3 isgreater than that ofthe CNgroup of CH3CN with C6H5CH3 and the NO2 ofC2H5NO2 with C6H5CH3.

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