Studies of volumetric, viscometric and molar properties of diisopropyl amine with 1-alkanols (C 6 -C10 ) at different temperatures Gyan Prakash Dubey, Krishan Kumar PII: DOI: Reference:
S0167-7322(16)33259-7 doi:10.1016/j.molliq.2016.12.065 MOLLIQ 6748
To appear in:
Journal of Molecular Liquids
Received date: Revised date: Accepted date:
21 October 2016 10 December 2016 17 December 2016
Please cite this article as: Gyan Prakash Dubey, Krishan Kumar, Studies of volumetric, viscometric and molar properties of diisopropyl amine with 1-alkanols (C6 -C10 ) at different temperatures, Journal of Molecular Liquids (2016), doi:10.1016/j.molliq.2016.12.065
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ACCEPTED MANUSCRIPT STUDIES OF VOLUMETRIC, VISCOMETRIC AND MOLAR PROPERTIES OF DIISOPROPYL
AMINE
WITH
1-ALKANOLS
(C6-C10)
AT
DIFFERENT
IP
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Gyan Prakash Dubey* and Krishan Kumar#
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TEMPERATURES
*Department of Chemistry, Kurukshetra University, Kurukshetra-136119, India #
Department of Chemistry, Deenbandhu Chhotu Ram University of Science &Technology,
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Murthal, Sonepat-131039, India *
Corresponding author. Tel. +91-9416221007
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E-mail address:
[email protected],
[email protected]
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Abstract
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This paper presents the experimental measurements of densities, , viscosities, and speeds of sound, u of (Diisopropylamine (DIIPA) +1-Hexanol, + 1-Octanol, + 1-Decanol) over the
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entire composition range at (293.15 to 313.15) K and atmospheric pressure. We examined the influence of temperature and alcohol chain length upon the various studied properties. Negative values of excess molar volume VmE and excess molar isentropic compressibilities, indicates the presence strong intermolecular interactions. The results of deviations in
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K SE, m
speeds of sound, u D , viscosity deviations, and Gibbs excess free energy of activation of viscous flow , G *E also supports the conclusion drawn from VmE and K SE, m . The outcomes of VmE have been correlated to Prigogine−Flory−Patterson theory (PFP).
Keywords : Density; Excess Molar Volume; Viscosity; Molar Properties.
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ACCEPTED MANUSCRIPT 1. Introduction DIIPA is a secondary amine with the chemical formula (CH3)2HC-NH-CH(CH3)2. It is best known as its lithium derivative of its conjugate base, lithium diisopropylamide, known as
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"LDA". LDA is a strong, non-nucleophilic base. The bromide salt of DIIPA,
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diisopropylammonium bromide, is an organic molecular solid whose crystals are ferroelectric
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at room temperature. Alcohols are the well-known solvents with protic and self-associated properties, which are used to study the hydrophobic effects.1-Octanol is mainly consumed as a precursor to perfumes.1-Decanol is used in the manufacture of plasticizers, lubricants, surfactants and solvents. Its ability to permeate the skin has led to it being investigated as a
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penetration enhancer for transdermal drug delivery [1-2]. It has been examined for controlling essential tremor and other types of involuntary neurological tumors. Excess molar
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quantities are properties of solutions which differentiate the non-ideal behavior of real mixtures. The partial molar volume is generally understood as the contribution that a component of a mixture makes to the overall volume of the solution. This property is a
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thermodynamic quantity which indicates how an extensive property of a solution or mixture
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varies with changes in the molar composition of the mixture at constant temperature and pressure. In actual fact it is the partial derivative of the extensive property with respect to the
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number of moles of the component of concern. Every extensive property of a mixture has a corresponding partial molar property. The effect of increasing chain length of alcohols on excess molar volume, speed of sound and molar isentropic compression has been studied by Cobos et al. [3], Pal et al. [4–6], Tovar et al. [7]. Herein, we report the experimental
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measurements of densities, , viscosities, and speeds of sound, u of binary liquid mixtures of (DIIPA +1-Hexanol, + 1-Octanol, + 1-Decanol) over the entire composition range at (293.15 to 313.15) K and atmospheric pressure. From the results obtained, various derived parameters such as excess molar volume, excess molar isentropic compressibility, excess Gibbs energy and deviation in speed of sound have been reported in terms of interaction between unlike molecules of the mixtures. In this communication, our objective is to see the effect of chain length of 1-alkanols and temperature on the intermolecular interactions between the mixing components of the studied binary liquid mixtures of DIIPA and 1-alkanols (C6-C10). 2. Experimental 2.1 Materials 2
ACCEPTED MANUSCRIPT Chemicals used in the present study are DIIPA, 1-Hexanol, 1-Octanol and 1-Decanol. All the chemicals were purchased from S.D. Fine Chemicals Ltd. In all cases chemicals with purity greater than 99.5% by mass were used for the experimental investigations (Table 1). Prior to
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making the experimental measurements, all liquids were stored in dark bottles over 0.4 nm
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molecular sieves to reduce water content and were distilled and partially degassed under vacuum. Further, to avoid any contamination and absorption of moisture the preparation of
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samples was done with extra care and precautions. Measurements were done within the least time. The details of the chemicals used in the present work are also given in Table 1.
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2.2 Apparatus & Procedure
The binary mixture was prepared by weighing appropriate amounts of DIIPA and alcohols on
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an Afcoset-ER-120A electronic balance, with a precision of ±0.05 mg, by syringing each component into airtight narrow mouthed stoppered bottles to minimize evaporation losses. The pure components were separately degassed shortly before sample preparation. The
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accuracy of mole fraction was ±1∙10-4. Density, and speed of sound, u were measured by
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using a digital vibrating tube density and speed of sound analyzer (Anton Paar DSA 5000), having two integrated Pt 100 Platinum thermometers with a proportional temperature
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controller that kept the sample at the required temperature. The apparatus was calibrated at the working temperatures with dry air, double toluene, cyclohexane and distilled water. The temperature in the cell was regulated to ±1∙10-2 K with a built-in solid state thermostat by the Peltier method. Uncertainty in density measurement is ±2∙10-3 kg∙m-3 and for the speed of
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sound is ±0.1 m∙s-1. An acoustic signal indicated when the measurement was completed. The results were automatically converted (including temperature compensation wherever necessary) into concentration, specific gravity, or other density-related units using the built-in conversion tables and functions. The kinematic viscosities ( = / ) of pure liquids and liquid mixtures were measured at T = (298.15, 303.15 and 308.15) K and at atmospheric pressure using an Ubbelohde suspended level viscometer. The viscometer was calibrated to determine the two constants A and B in the equation, / At B / t obtained by measuring the flow time (t) with double distilled water and cyclohexane. The flow time measurements were made by using an electronic stopwatch with a precision of ±0.1 s. An average of four or five sets of flow times for each liquid or liquid mixture was taken for the purpose of calculations of viscosity. The uncertainty in the viscosity measurements, based on our work on several pure 3
ACCEPTED MANUSCRIPT liquids, was ±0.03 mPa∙s. The temperature of the samples was controlled by using a water bath equipped with a thermostat of accuracy ±0.01 K. The reliability of experimental measurements of , u and were ascertained by comparing the experimental values of pure
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liquids with the corresponding literature values (Table 2). Table 2 compares the densities, ,
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viscosities, and speeds of sound, u for the pure liquid components and their binary
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mixtures at 298.15, 303.15, and 308.15 K with values reported in the literatures [8-25]. Table 2 also contains our measured or literature values of those quantities which were required in the estimation of K S ,m , K SE,m and u D .
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3. Results & Discussion
The experimental values of density were used to calculate the excess molar volume
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VmE of the mixtures using equation: 2
VmE xi M i ( 1 i1 ) i 1
(1)
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where is the density of the mixture and xi , Mi, and i are the mole fraction, molar mass
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(M = x1M1+x2M2) and density of pure component i, respectively. The isentropic compressibility, S was calculated using the Newton−Laplace equation:
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S Vm1 ( Vm / P) S ( u 2 ) 1 Vm (M u 2 ) 1
(2)
where Vm is the molar volume and M the molar mass of the mixture. The molar isentropic
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compressibility was calculated using equation:
K s ,m (Vm / P) s Vm s xi M i /( u ) 2
(3)
The excess molar isentropic compressibility K SE,m was calculated using following equation: id
K SE,m = K S , m - K S , m where
K Sid,m
(4)
defined by the approach developed by Kiyohara and Benson [26]:
* * * * * * K Sid,m xi [ K S ,i TAP,i (xi AP,i / xi CP,i ) ( AP,i / CP,i )]
=
where
AP* ,i ( Vm,i P,i ) *
*
is the product of molar volume and the isobaric expansivity,
(5)
C P* ,i
the molar isobaric heat capacity, K S* ,i the product of the molar volume, Vm*,i and the isentropic compressibility K S* ,i of the pure liquid component i. The deviations of the speed of sound from their values in an ideal mixture were calculated from equation [26]:
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ACCEPTED MANUSCRIPT u D u u id u
where
u
id
id
(6)
was calculated using equation:
(Vmid )1 / 2 ( K Sid,m
* 1 / 2
i i ) i
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(7) where i is the volume fraction of ith component. The variation of , VmE , u , u D , K S ,m and
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K SE,m at all temperatures of interest for the studied binaries are given in Tables 3 to 5. The deviations of the viscosities from the linear dependence were calculated from the relationship: 2
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xii i 1
(8)
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where and i are viscosities of the mixture and the pure component i respectively. On the basis of the theory of reaction rates, the excess Gibbs energy of activation of viscous flow G *E was calculated using the following equation: 2
(9)
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i 1
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G *E = R T [ ln(V ) xi ln( iVi )
whereR is the universal constant of gas, T is the absolute temperature, V and Vi are the molar
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volumes of the binary mixtures and pure components, respectively. The variation of and
G *E at all temperatures of interest for the studied binaries are given in Table6.The excess molar volumes and deviations in speed of sound, isentropic compressibility, viscosity and
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excess Gibbs energy of activation of viscous flow were fitted to a Redlich-Kister equation [27]:
p
Y ( x) x1 x2 Ai ( x1 x2 )
i
(10)
i 1
wherep is the number of estimated parameters Ai . The standard deviation was calculated using the equation: n
[{Y ( x) exptl Y ( x) cal }2 /( n p)]1/ 2
(11)
i 1
where Y ( x) exp tl and Y ( x) cal are the values of the experimental and calculated properties ( VmE , u, , s and G *E ) respectively, and n is the number of experimental data points. The
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ACCEPTED MANUSCRIPT calculated values of the coefficients, Ai along with the standard deviations ( ) are given in Table 7 (given in supplementary Materials). The excess molar volume, VmE , molar isentropic compressibilities, K S , m , excess molar
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isentropic compressibilities, K SE, m , deviations in speeds of sound, u D from their ideal values
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in an ideal mixture, u id ,viscosity deviation, and excess Gibbs free energy of activation for
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viscous flow, G *E were calculated by using the equations (1-9). The values of , VmE , u , u D , K S ,m , and K SE,m for the binary mixtures at 293.15 to 313.15 K are listed in Tables 3, 4
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and 5 respectively. The other parameter such as , and G *E at 298.15, 303.15 and 308.15 K are given in Table 6.
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The values of VmE are plotted as a function of x1 in Figures 1-3 which shows that mixtures of DIIPA with 1-Hexanol, 1-Octanol and1-Decanol exhibit negative VmE values for the whole range of composition and at all of the studied temperatures. The negative trend in
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the values of VmE is observed in all of the three binary mixtures with minima at x1 ≈ 0.5. The
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negative VmE values show the presence of strong intermolecular forces of attraction. The present results can be interpreted qualitatively by taking into account the fact that several
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expansion and contraction processes proceed simultaneously when amine-alkanol mixtures are formed. The following effects can be considered: (i) expansion due to depolymerization of alcohol and amine by one another, (ii) contraction due to free volume difference of unlike
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molecules, and (iii) contraction due to hydrogen bond formation between amine and alcohol through NH2….OH and OH….NH2. The interaction between the studied liquid mixtures can be considered the reaction between alkanol as a Lewis acid and amine as a Lewis base. There is no significant change observed in the values of VmE with temperature, it is also observed from Figures 1-3 that as we move from 1-hexanol to 1-octanol to 1-decanol, the negative values of VmE increase [28]. So, there are strong forces of attraction in 1-decanol among the three alcohols. The large negative value of VmE for the mixture with 1-decanol indicates that a most efficient packing of molecules occurs in this mixtures. For the mixtures of DIIPA with 1-Hexanol, 1-Octanol and 1-Decanol, the values of
K SE, m , and u D are plotted in Figures 4 and 5 respectively. The excess molar isentropic compressibility, K SE, m shows negative trend for all the three systems over the entire
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ACCEPTED MANUSCRIPT composition range and at all studied temperatures. The behavior of VmE with x1 is well reflected in the behavior of K SE, m for the binary mixtures investigated. The K SE, m values can be interpreted in terms of (i) decrease in free volume in mixture as compared to those in pure
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components, (ii) interstitial accommodation of alcohol molecules in the aggregates of amine.
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The negative K SE, m values for the studied binary mixtures show that first factor predominates
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in these mixtures and the mixture is less compressible than the corresponding ideal mixture. In these binary mixtures contraction in free volume makes the mixture less compressible than ideal mixtures. Negative K SE, m means that mixture is less compressible than the ideal mixture.
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It is clear from Figure 5 that the trends in u D values are similar to K SE, m but with opposite sign.
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The variation of the viscosity deviations, with the mole fraction, x1 for the binary mixtures is presented in Figure 6. The values are negative for all the three binary
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mixtures over the whole composition range. The absolute values of shows a decrease with increase in alkyl chain length of alcohol molecules from 1-hexanol to 1-decanol. The
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– x1 curves show maximum negative values at x1 0.5 for studied binary mixtures. The
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viscosity of pure DIIPAis found to be about an order of magnitude smaller (≈ 0.382 mPa∙s) than that of 1-Decanol (≈ 11.192 mPa∙s). The viscosity of a mixture strongly depends upon the entropy of mixture [29] which is related with the structure of the liquid and consequently with molecular interaction between the components of the mixture. The negative value
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observed for viscosity deviations of the mixture under study cannot explain the graded behavior of the complex formation between amine and alcohol. This shows that strength of the intermolecular hydrogen bonding is not the only factor affecting the viscosity deviation of liquid mixtures. The molecular sizes and shape of the components are equally important factors. The G *E parameter can also be considered as a reliable criterion to detect or exclude the presence of interactions between unlike molecules [30, 31]. According to Reed and Taylor and Meyer et al., positive G *E values indicate specific interactions while negative values indicate the dominance of dispersion forces [31]. From G *E values (Figure 7), it is seen that these values are positive for 1-Decanol but changes sign from positive to negative in case of 1-Hexanol and 1-Octanol.
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ACCEPTED MANUSCRIPT Apart from expressing as a polynomial fit, several semi-empirical relations have been put forward to correlate the viscosity of binary liquid mixtures in terms of their pure component data. The following semi-empirical models have been tested for the mixtures
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under study: Grunberg and Nissan [32], Tamura and Kurata [33], Hind, Mclaughlin and
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Ubbelohde [34], Katti and Chaudhari [35], McAllister (three body interaction) model [36], Heric and Brewer (three-parameter) model [37], McAllister (four-body interactions) model
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[36].
Out of seven equations, first four are single-parameter equations while last one is a three-parameter equation. For each of these equations their adjustable parameters and percent
0
0
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standard deviations have been calculated. The values of the percentage standard deviation, shown in Table 8 (given in supplementary Materials) lies in the range 4.34 to 6.24 for
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Grunberg-Nissan relation, 2.69 to 14.96 for Tamura-Kurata relation, 47.37to 78.05 for Katti and Chaudhari and 3.69 to 9.57 for Hind et al. relation for the binary mixture under study. The analysis of the results for one-parameter relation reveals that Grunberg-Nissan relation
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shows minimum 0 0 followed by Hind et al. relation. Grunberg-Nissan parameter also
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provides the type and extent of interaction. It reveals from Table 8 that the positive values of
G12 in present mixtures also support graded behavior. Heric-Brewer three parameter relation
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has standard percentage deviation, 0 0 in the range 0.004 to 0.32. McAllister (three-body interaction) lie in the range 0.009 to 0.076% and for McAllister (Four-body interaction) relation % values ranges from 0.29 to 0.97%. The values of 0 0 for the present binary
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systems investigated indicate that three-parameter relation correlate viscosity data better compared to one-parameter relations. Theoretical Model: The Prigogine−Flory−Patterson (PFP) theory [38-42] has been commonly employed to estimate and analyze excess thermodynamic functions theoretically. This theory has been described in details by Patterson and co-workers [43-44]. According to PFP theory, VmE can be considered as a sum of three contributions: (i) an interactional contribution, VmE (int.), (ii) a free volume contribution, VmE (fv), and (iii) an internal pressure contribution, VmE (P*). The details of the notations and terms used in equations may be obtained from literature [39-42, 45-46]. The interaction parameter 12 was obtained by employing the Marquardt algorithm [47] in an optimization procedure, using all experimental VmE data at 298.15 K over the complete concentration range. The resulting 12 was used to
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ACCEPTED MANUSCRIPT calculate VmE [48-50]. The various parameters involved in equation for the pure components are obtained through Flory theory and are given in Table 9 and Table 10 (given in supplementary Materials) reports the calculated and experimental equimolar values of the
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three contributions to VmE together with the contact interaction parameter 12 . In Table 10, the
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interaction term, which is proportional to 12 , is negative for all the systems. The free volume
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is proportional to (v~1 v~2 ) 2 and it becomes more negative as the difference between the reduced volumes of two components in the mixture increases. The internal pressure term which is proportional to (v~1 v~2 ) 2 ( P1* P2* ) may be positive or negative depending upon
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the relative cohesive energy of the expanded and less expanded component. In the present case it is positivefor all the binary mixtures under study. The comparison of calculated and
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experimental values has been shown in Figure 1-3, which demonstrates that PFP theory gives satisfactory results.
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4. Conclusion
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The negative trend in the values of VmE is observed in all of the three binary mixtures. The negative VmE values show the presence of strong intermolecular forces of attraction.As we
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move from 1-hexanol to 1-octanol to 1-decanol, the negative values of VmE decrease.The excess molar isentropic compressibility, K SE, m also shows negative trend for all the three
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systems over the entire composition range and at all studied temperatures. The trends observed in the values of u D , and G *E also supports the earlier conclusion drawn. PFP theory is in good agreement with the experimental results. Acknowledgements
Financial support for the work by the Government of India through University Grants Commission, New Delhi (letter no F.14-2(SC)/2008 (SA-III) dated 31-03-2009) is gratefully acknowledged.
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[31] A. W. Quin, D. F. Hoffmann, P. Munk, Excess volumes of mixtures of alkanes with carbonyl compounds J. Chem. Eng. Data 37 (1992), 55-61. [32] L. Grunberg, A. Nissan, Mixture Law for Viscosity Nature 164 (1949), 799-800. [33] M. Tamura, M. Kurata, On the viscosity of binary mixture of liquids. Bull. Chem. Soc. Jpn. 25 (1952), 32-37. [34] R. K. Hind, M. Mclaughlin, A. R. Ubbelohde, Structure and viscosity of liquids. Camphor + pyrene mixtures Trans. Faraday Soc.56 (1960), 328-330. [35] P. K. Katti, M. M. Chaudhry, Viscosities of Binary Mixtures of Benzyl Acetate with Dioxane, Aniline, and m-Cresol. J. Chem. Eng. Data 9 (1964), 442-443. [36] R. A. McAllister, The viscosity of liquid mixtures AIChE J. 6 (1960), 427-431. [37] E. L. Heric, On the Viscosity of Ternary Mixtures. J. Chem. Eng. Data 11 (1966), 66-68. [38] D. Patterson, G. Delmas, Corresponding states theories and liquid models. Discuss. Faraday Soc. 49 (1970), 98-105. 9
ACCEPTED MANUSCRIPT [39] I. Prigogine, The Molecular Theory of Solutions, North-Holland Publishing Company, Amsterdam 1957. [40] P. J. Flory, Statistical Thermodynamics of Liquid Mixtures J. Am. Chem. Soc. 87
T
(1965), 1833-1838.
Molecules J. Am. Chem. Soc. 87 (1965), 1838-1846.
IP
[41] P. J. Flory, A. Abe, he Thermodynamic Properties of Mixtures of Small, Nonpolar
SC R
[42] G. P. Dubey, M. Sharma, Thermodynamic and Transport Properties of Binary Liquid Mixtures of 1-Hexanol with Hexadecane and Squalane at 298.15, 303.15 and 308.15 KZ. Phys. Chem. 223 (2009), 279-298.
NU
[43] P. Trancrede, P. Bothorel, P. St. Romain, D. Patterson, Interactions in alkane systems by depolarized Rayleigh scattering and calorimetry. Part 1.—Orientational order and
MA
condensation effects in n-hexadecane + hexane and nonane isomersJ. Chem. Soc. Faraday Trans. II 73 (1977), 15-28.
[44] P. St. Romain, H. T. Van, D. Patterson, Effects of molecular flexibility and shape on the
TE
75 (1979), 1700-1707.
D
excess enthalpies and heat capacities of alkane systemsJ. Chem. Soc. Faraday Trans. I
[45] A. T. Rodriguez, D. Patterson, Excess thermodynamic functions of n-alkane mixtures.
CE P
Prediction and interpretation through the corresponding states principleJ. Chem. Soc. Faraday Trans. II 78 (1982), 501-523. [46] T. M. Aminabhavi, K. Banerjee, R. H. Balundgi, Thermodynamic interactions in binary mixtures of 1-chloronaphthalene and monocyclic aromatics Indian J. Chem. A 38
AC
(1999), 768-777.
[47] D. W. Marquardt, An Algorithm for Least-Squares Estimation of Nonlinear ParametersJ. Soc. Indust. Appl. Math. 11(1963), 431-441. [48] S. L. Oswal, S. S. R. Putta, Excess molar volumes of binary mixtures of alkanols with ethyl acetate from 298.15 to 323.15 K Thermochim. Acta 373 (2001), 141-152. [49] H. Iloukhani, Z. Rostami, Measurement of Some Thermodynamic and Acoustic Properties of Binary Solutions of N,N-Dimethylformamide with 1-Alkanols at 30°C and Comparison with Theories J. Solution Chem. 32 (2003), 451. [50] M. Ramamurthy, O. S. Sastry, Ind. J. Pure Appl. Phys. 21 (1983), 579.
10
ACCEPTED MANUSCRIPT
Initial Mass Fraction Purity ≥0. 99 ≥0. 99 ≥0. 99 ≥0. 99
US
MA N
SD. Fine Chemicals, India SD. Fine Chemicals, India SD. Fine Chemicals, India SD. Fine Chemicals, India
CR
IP
Make
TE D
DIIPA 1-Hexanol 2-Octanol 1-Decanol
CAS No. 108-18-9 111-27-3 111-87-5 112-30-1
CE P
Sample
AC
S. No. 1. 2. 3. 4.
T
Table 1: Sample Information Table
7
Purification Method Distillation Distillation Distillation Distillation
Final Mass Fraction Purity 0. 99 0. 99 0. 99 0. 99
Analysis Method None None None None
AC
CE P
TE D
MA N
US
CR
IP
T
ACCEPTED MANUSCRIPT
CR
IP
T
ACCEPTED MANUSCRIPT
US
Table2. Experimental and literature values of densities, * , viscosities, , speeds of sound, u * , isobaric expansivity, P* , isobaric molar heat capacity, C P* , m
Exptl. 0.711509
0.7148 [18]
Exptl. 0.382
Lit.
u*
P*
−1
(m s ) Exptl.
298.15 K 1091.89
(kK-1)
C P* , m (J K-1 mol-1)
K S* ,m (mm3 mol-1 MPa-1)
Lit. 1096.0 [18]
266.0 [18]
167.66
*
1.374*
1-Hexanol
0.815265
0.81523 [10]
4.439
4.593 [11]
1303.2
1303.3 [12]
0.885
241.64 [13]
90.51
1-Octanol
0.821794
0.82179 [9]
7.143
7.143 [14]
1347.5
1348.0 [15]
0.848*
308.39 [20]
106.19
1-Decanol
0.826470
0.82670 [16]
AC
DIIPA
Lit.
TE D
(kg m−3)
CE P
Components
(mPa s)
* ×10−3
MA N
and molar isentropic compressibility, K S* ,m of pure liquid components at (298.15, 303.15 and 313.15) K and atmospheric pressure:
11.192 [16]
1379.8
1380.2 [12]
0.834*
371.1 [17]
121.70
11.192
303.15 K
DIIPA
0.706633
0.70998 [18]
0.364
-
1069.37
1-Hexanol
0.811661
0.81195 [8]
3.675
3.916 [21]
1286.42
1-Octanol
0.818310
0.8184 [22]
5.969
6.36 [23]
1330.69
1-Decanol
0.823050
9.066
9.652 [22]
1362.88
0.82296 [24]
308.15 K 7
1.384*
268.0 [18]
177.21
0.889*
246.52 [20]
93.72
1335.0 [24]
0.851*
313.60 [20]
109.83
1364.99 [20]
0.837*
375.40 [20]
125.79
1071.0 [18] 1287.9 [21]
ACCEPTED MANUSCRIPT
1046.0 [18]
1.393*
270.0 [18]
187.45
1269.82
1271.14 [20]
0.893*
251.47 [20]
97.05
1314.03
1314.27 [20]
0.855*
320.12 [20]
113.60
1346.01
1346.10 [20]
0.841*
380.40 [20]
130.05
0.701737
0.70518 [18]
0.347
-
1047.01
1-Hexanol
0.808037
0.80834 [19]
3.107
3.359 [20]
1-Octanol
0.814813
0.8150 [22]
5.009
5.38 [23]
1-Decanol
0.819611
0.819427 [20]
7.459
7.918 [25]
CR
IP
T
DIIPA
AC
CE P
TE D
MA N
US
The uncertainty in density, viscosity and speeds of sound is ±2∙10-3 kg∙m-3, ±0.03 mPa∙s and ±0.1 m∙s-1 respectively.
8
ACCEPTED MANUSCRIPT Table3. Densities, , speeds of sound, u , excess molar volumes , VmE , molar isentropic compressibilities, K S , m , excess molar isentropic compressibilities, K SE,m and deviations in
×10−3 (kg m−3)
u
(m s−1)
VmE ×106
K S ,m
(m3 mol−1)
K SE,m
uD
(mm3 mol-1
(mm3 mol-1
(ms−1)
MPa-1)
MPa-1)
RI P
x1
T
speeds of sound, u D for the binary mixtures at different temperatures:
0.818842
1320.13
0.0000
0.0503
0.816362
1319.60
-0.5103
0.1067
0.813411
1316.41
-1.0539
0.1499
0.810879
1314.07
-1.4262
0.2041
0.807370
1309.70
0.2530
0.803815
1304.32
0.3054
0.799734
1297.10
-2.4261
0.4026
0.790827
1279.39
-2.7138
0.4986
0.781086
1258.14
-2.8114
0.6007
0.769413
0.7077
0.756264
0.8518 0.9021 0.9545 1.0000
MA
ED
PT
-1.8385 -2.145
1232.43
-2.6491
1202.63
-2.2557
AC CE
0.7994
NU
0.0000
SC
DIIPA + 1-Hexanol, 293.15 K
0.744480
1175.49
-1.7638
0.737507
1159.44
-1.4094
0.730811
1144.78
-1.0470
0.723433
1128.05
-0.5681
0.716367
1114.58
0.0000 298.15 K
0.0000
0.815265
1303.24
0.0000
90.51
0.00
0.00
0.0503
0.812696
1302.24
-0.5144
91.18
-3.21
17.11
0.1067
0.809636
1298.47
-1.0608
92.36
-6.39
32.15
0.1499
0.807017
1295.69
-1.4341
93.32
-8.76
42.80
0.2041
0.803403
1290.87
-1.8474
94.81
-11.45
53.76
0.2530
0.799758
1285.03
-2.1551
96.50
-13.53
61.23
0.3054
0.795587
1277.43
-2.4369
98.63
-15.44
67.00
0.4026
0.786538
1259.08
-2.7273
103.78
-17.79
71.26
9
ACCEPTED MANUSCRIPT 0.776690
1237.31
-2.8299
110.10
-18.87
69.40
0.6007
0.764922
1211.19
-2.6719
118.35
-18.50
62.20
0.7077
0.751680
1181.20
-2.2800
128.73
-16.38
49.89
0.7994
0.739825
1153.70
-1.7878
139.17
-13.01
36.04
0.8518
0.732771
1137.35
-1.4241
145.90
0.9021
0.726037
1122.54
-1.0593
0.9545
0.718571
1105.55
1.0000
0.711509
1091.89
T
0.4986
26.93
152.49
-7.62
18.71
-0.5668
160.41
-3.74
8.25
0.0000
167.66
0.00
0.00
0.811661
1286.42
0.0000
0.0503
0.809007
1284.93
0.1067
0.805839
0.1499
SC
0.0000
0.00
0.01
-0.5193
94.51
-3.41
17.39
1280.62
-1.0686
95.84
-6.79
32.63
0.803135
1277.47
-1.4432
96.93
-9.31
43.41
0.2041
0.799413
1272.17
-1.8571
98.60
-12.17
54.44
0.2530
0.795677
1265.86
-2.1654
100.47
-14.38
61.86
0.3054
0.791422
1257.86
-2.4493
102.80
-16.42
67.63
0.4026
0.782235
1238.91
-2.7430
108.37
-18.97
71.90
0.4986
0.772279
1216.67
115.18
-20.18
70.05
0.6007
0.760412
1190.04
-2.6959
124.05
-19.83
62.73
0.7077
0.9545 1.0000
0.9021
ED
PT
0.8518
-2.8505
AC CE
0.7994
NU
93.72
MA
303.15 K
RI P
-10.33
0.747087
1159.80
-2.3072
135.17
-17.65
50.49
0.735150
1131.98
-1.8124
146.41
-14.06
36.52
0.728052
1115.49
-1.4461
153.64
-11.20
27.37
0.721266
1100.40
-1.0763
160.79
-8.25
18.96
0.713745
1083.12
-0.4768
169.39
-4.02
8.29
0.706633
1069.37
0.0000
177.21
0.00
0.00
308.15 K 0.0000
0.808037
1269.82
0.0000
97.05
0.00
0.01
0.0503
0.805295
1267.81
-0.5238
97.98
-3.62
17.67
0.1067
0.802021
1263.22
-1.0766
99.44
-7.26
33.39
0.1499
0.799231
1259.57
-1.4526
100.68
-9.93
44.18
0.2041
0.795406
1253.69
-1.8677
102.55
-12.95
55.18
0.2530
0.791583
1246.92
-2.1774
104.62
-15.30
62.58
0.3054
0.787241
1238.51
-2.4629
107.17
-17.50
68.35
10
ACCEPTED MANUSCRIPT 0.777918
1218.88
-2.7605
113.21
-20.24
72.56
0.4986
0.767855
1196.20
-2.8732
120.53
-21.60
70.74
0.6007
0.755891
1169.03
-2.7226
130.09
-21.26
63.27
0.7077
0.742472
1138.36
-2.3350
142.06
-18.97
50.91
0.7994
0.730457
1110.28
-1.8383
154.15
0.8518
0.723309
1093.60
-1.4681
0.9021
0.716475
1078.32
0.9545
0.708896
1.0000
0.701737
36.88
161.96
-12.10
27.64
-1.0938
169.69
-8.91
19.12
1060.89
-0.5854
178.99
-4.35
8.36
1047.01
0.0000
187.45
0.00
0.00
1253.53
0.0000
0.0503
0.801547
1250.82
-0.5231
0.1067
0.798168
1246.34
0.1499
0.795295
1242.16
0.2041
0.791369
1235.56
MA
0.2530
0.787457
1228.19
-2.1862
0.3054
0.783036
1219.32
-2.4740
0.4026
0.773577
1198.88
0.4986
0.763407
1175.79
-2.8955
0.6007
0.9021
-1.0798 -1.4577
PT
AC CE
-1.8752
-2.7771
0.751342
1147.83
-2.7487
0.737826
1116.56
-2.3623
0.725735
1088.29
-1.8643
0.718536
1071.60
-1.4902
0.711650
1056.06
-1.1107
0.9545
0.704015
1038.50
-0.5942
1.0000
0.696811
1023.80
0.0000
0.8518
SC
NU
0.804413
ED
0.0000
0.7994
RI P
-15.17
313.15 K
0.7077
T
0.4026
The uncertainty in density, viscosity and speeds of sound is ±2∙10-3 kg∙m-3, ±0.03 mPa∙s and ±0.1 m∙s-1 respectively.
11
ACCEPTED MANUSCRIPT Table4. Densities, , speeds of sound, u , excess molar volumes , VmE , molar isentropic compressibilities, K S , m , excess molar isentropic compressibilities, K SE,m and deviations in speeds
×10−3 (kg m−3)
u
(m s−1)
VmE ×106
K S, m
(m3 mol−1)
K SE,m
uD
(mm3 mol-1
(mm3 mol-1
(m s−1)
MPa-1)
MPa-1)
RI P
x1
T
of sound, u D for the binary mixtures at different temperatures:
0.825257
1364.54
0.0000
0.0552
0.822736
1361.24
-0.5512
0.1034
0.820319
1356.34
-0.9992
0.1579
0.817339
1350.96
-1.4681
0.2037
0.814507
1346.37
0.2551
0.810993
1339.51
0.3074
0.806982
1331.29
0.4058
0.798330
1311.21
-2.7224
0.5058
0.788016
1286.10
-2.8106
0.6060
0.776313
0.7025
0.763832
0.8595 0.8931 0.9418 1.0000
MA
ED
PT
-1.8085 -2.1370 -2.4007
1257.48
-2.6901
1226.15
-2.3910
AC CE
0.8044
NU
0.0000
SC
DIIPA + 1-Octanol, 293.15 K
0.750011
1190.85
-2.0003
0.742777
1171.63
-1.7421
0.736172
1157.25
-1.3525
0.727940
1138.57
-0.8872
0.716367
1114.58
0.0000 298.15 K
0.0000
0.821794
1347.56
0.0000
106.19
0.00
0.00
0.0552
0.819196
1343.71
-0.5572
106.16
-3.43
16.50
0.1034
0.816705
1338.59
-1.0088
106.45
-6.10
28.33
0.1579
0.813633
1332.76
-1.4801
106.85
-9.05
40.81
0.2037
0.810725
1327.73
-1.8225
107.29
-11.43
50.51
0.2551
0.807125
1320.52
-2.1526
108.12
-13.75
59.15
0.3074
0.803035
1311.87
-2.4189
109.30
-15.79
65.95
0.4058
0.794248
1291.38
-2.7464
112.59
-18.55
72.77
12
ACCEPTED MANUSCRIPT 0.783810
1265.81
-2.8403
117.38
-19.91
72.82
0.6060
0.771997
1236.79
-2.7254
123.55
-19.89
67.53
0.7025
0.759409
1205.14
-2.4289
131.13
-18.25
57.04
0.8044
0.745013
1169.52
-1.9503
140.77
-14.87
42.13
0.8595
0.737223
1149.96
-1.5938
146.47
0.8931
0.730959
1135.26
-1.2746
0.9418
0.722840
1116.25
1.0000
0.711509
1091.89
T
0.5058
33.12
151.46
-9.63
24.63
-0.8371
158.03
-6.06
14.35
0.0000
167.66
0.00
0.00
0.81831
1330.69
0.0000
0.0552
0.815641
1326.52
0.1034
0.813071
0.1579
SC
0.0000
0.00
0.00
-0.5644
109.88
-3.67
16.96
1321.02
-1.0190
110.28
-6.52
29.02
0.809809
1314.88
-1.4930
110.82
-9.65
41.80
0.2037
0.806926
1309.56
-1.8377
111.33
-12.23
51.67
0.2551
0.803242
1301.83
-2.1699
112.32
-14.70
60.25
0.3074
0.799074
1292.80
-2.4391
113.67
-16.88
67.08
0.4058
0.790154
1271.72
-2.7728
117.30
-19.87
73.96
0.5058
0.779596
1245.72
122.51
-21.41
74.10
0.6060
0.767666
1216.17
-2.7628
129.22
-21.45
68.67
0.7025
0.9418 1.0000
0.8931
ED
PT
0.8595
-2.8733
AC CE
0.8044
NU
109.83
MA
303.15 K
RI P
-12.55
0.754968
1184.13
-2.4683
137.42
-19.74
58.09
0.740430
1148.11
-1.9837
147.89
-16.15
43.00
0.732468
1128.32
-1.6023
154.12
-13.62
33.84
0.726204
1113.40
-1.2890
159.53
-10.48
25.18
0.717958
1094.03
-0.8328
166.76
-6.54
14.60
0.706633
1069.37
0.0000
177.21
0.00
0.00
308.15 K 0.0000
0.814813
1314.03
0.0000
113.60
0.00
0.00
0.0552
0.812063
1309.58
-0.5701
113.73
-3.95
17.51
0.1034
0.809416
1303.83
-1.0281
114.23
-7.00
29.95
0.1579
0.80617
1297.75
-1.5066
114.79
-10.47
43.42
0.2037
0.803108
1291.83
-1.8527
115.50
-13.15
53.16
0.2551
0.799346
1283.41
-2.1883
116.70
-15.74
61.52
0.3074
0.795102
1273.92
-2.4609
118.23
-18.07
68.31
13
ACCEPTED MANUSCRIPT 0.786049
1252.23
-2.8013
122.25
-21.32
75.24
0.5058
0.775368
1225.61
-2.9080
127.94
-23.01
75.27
0.6060
0.763326
1195.68
-2.8032
135.21
-23.15
69.84
0.7025
0.750512
1163.2
-2.5096
144.11
-21.37
59.10
0.8044
0.735851
1126.63
-2.0229
155.50
0.8595
0.727809
1106.67
-1.6341
0.8931
0.721481
1091.55
0.9418
0.713153
1.0000
0.701737
43.67
162.27
-14.81
34.43
-1.3141
168.16
-11.40
25.61
1071.93
-0.8480
176.05
-7.10
14.82
1047.01
0.0000
187.45
0.00
0.00
1297.78
0.0000
0.0552
0.808459
1293.02
-0.5685
0.1034
0.805736
1287.64
0.1579
0.802405
1281.10
0.2037
0.799269
1274.32
MA
0.2551
0.795431
1265.57
-2.2031
0.3074
0.791110
1255.45
-2.4796
0.4058
0.781926
1232.81
0.5058
0.771122
1205.57
-2.9422
0.6060
0.8931
-1.0308 -1.5141
PT
AC CE
-1.8633
-2.8281
0.758964
1175.11
-2.8432
0.746034
1142.00
-2.5515
0.731245
1104.90
-2.0623
0.723123
1084.88
-1.6664
0.716739
1069.51
-1.3415
0.9418
0.708323
1049.62
-0.8643
1.0000
0.696811
1023.80
0.0000
0.8595
SC
NU
0.811330
ED
0.0000
0.8044
RI P
-17.51
313.15 K
0.7025
T
0.4058
The uncertainty in density, viscosity and speeds of sound is ±2∙10-3 kg∙m-3, ±0.03 mPa∙s and ±0.1 m∙s-1 respectively.
14
ACCEPTED MANUSCRIPT Table5. Densities, , speeds of sound, u , excess molar volumes , VmE , molar isentropic compressibilities, K S , m , excess molar isentropic compressibilities, K SE,m and deviations in speeds of sound, u D for the binary mixtures at different temperatures: u x1 ×10−3 K S, m VmE ×106 (m3 mol−1)
(mm3 mol-1
T
(m s−1)
(mm3 mol-1
RI P
(kg m−3)
K SE,m
MPa-1)
uD
(m s−1)
MPa-1)
0.829883
1397.07
0.0000
0.0531
0.827523
1391.83
-0.4924
0.1065
0.825000
1385.30
-0.9722
0.1557
0.822582
1381.17
-1.4106
0.2072
0.819529
1373.41
-1.7739
0.2506
0.816690
1366.80
0.3127
0.812664
1357.15
0.4087
0.804884
1338.60
0.5054
0.794602
1312.61
-2.8405
0.6066
0.782636
1280.66
-2.7257
0.7056
0.769283
0.8036
0.754947
0.9073 0.9521 1.0000
MA
ED
PT
-2.0395 -2.4565 -2.8398
1244.85
-2.4327
1206.48
-2.0827
AC CE
0.853
NU
0.0000
SC
DIIPA + 1-Decanol, 293.15 K
0.747313
1184.77
-1.8917
0.736421
1160.20
-1.2462
0.728814
1139.47
-1.0299
0.716367
1114.58
0.0000 298.15 K
0.0000
0.82647
1379.87
0.0000
121.70
0.00
0.00
0.0531
0.824059
1374.42
-0.5008
121.02
-3.12
13.76
0.1065
0.821466
1367.4
-0.985
120.63
-5.97
25.53
0.1557
0.818984
1363.05
-1.4279
119.88
-8.98
38.04
0.2072
0.815857
1354.88
-1.7938
119.86
-11.37
47.08
0.2506
0.812962
1347.98
-2.063
119.89
-13.33
54.33
0.3127
0.808889
1338.11
-2.493
119.87
-16.21
64.19
0.4087
0.800977
1319.2
-2.8817
120.87
-19.62
74.60
0.5054
0.790549
1292.8
-2.8814
123.91
-21.02
76.38
15
ACCEPTED MANUSCRIPT 0.778457
1260.41
-2.7725
128.44
-21.14
72.07
0.7056
0.764975
1223.99
-2.4813
134.59
-19.54
61.80
0.8036
0.750208
1185.32
-2.0719
142.15
-16.48
47.76
0.853
0.742017
1163.26
-1.7836
147.08
-13.82
37.65
0.9073
0.73138
1138.32
-1.1976
153.63
0.9521
0.722881
1117.34
-0.8156
1.0000
0.711509
1091.89
0.0000
0.0000
0.0531
0.820581
1357.31
-0.508
0.1065
0.81792
1349.99
0.1557
0.815371
0.2072
-6.16
14.76
167.66
0.00
0.00
RI P
159.30
SC
1362.88
125.79
0.00
0.00
125.15
-3.38
14.35
-0.9973
124.83
-6.44
26.46
1345.45
-1.4443
124.13
-9.67
39.31
0.812168
1337.03
-1.8127
124.20
-12.25
48.60
0.2506
0.809217
1329.82
-2.0857
124.33
-14.35
55.94
0.3127
0.805088
1319.32
-2.5271
124.47
-17.40
65.66
0.4087
0.797091
1299.95
-2.9318
125.69
-21.12
76.27
0.5054
0.786488
1273.15
-2.9566
129.09
-22.70
78.16
0.6066
0.774268
1240.27
134.08
-22.90
73.79
0.7056
0.760658
1203.4
-2.5326
140.82
-21.25
63.36
0.8036
0.9073 0.9521 1.0000
ED
PT
0.853
NU
0.82305
25.48
MA
0.0000
-9.77
AC CE
303.15 K
T
0.6066
-2.8215
0.745699
1164.23
-2.1108
149.13
-17.98
49.02
0.737323
1141.84
-1.7975
154.60
-15.05
38.65
0.726669
1116.52
-1.2179
161.76
-10.69
26.16
0.717771
1095.27
-0.7645
168.15
-6.60
15.20
0.706633
1069.37
0.0000
177.21
0.00
0.00
308.15 K 0.0000
0.819611
1346.01
0.0000
130.05
0.00
0.00
0.0531
0.817090
1340.36
-0.5167
129.43
-3.67
15.00
0.1065
0.814357
1333.26
-1.0105
129.11
-7.06
27.99
0.1557
0.811747
1328.37
-1.4631
128.48
-10.51
41.04
0.2072
0.808478
1319.81
-1.8364
128.63
-13.32
50.71
0.2506
0.805463
1312.18
-2.1115
128.89
-15.55
58.01
0.3127
0.801268
1300.89
-2.5626
129.25
-18.76
67.45
0.4087
0.793164
1280.99
-2.9789
130.72
-22.79
78.17
16
ACCEPTED MANUSCRIPT 0.782418
1253.56
-2.9746
134.54
-24.52
79.94
0.6066
0.770074
1220.22
-2.8752
140.04
-24.83
75.51
0.7056
0.756326
1182.94
-2.5866
147.41
-23.14
64.95
0.8036
0.741215
1143.21
-2.1603
156.55
-19.64
50.24
0.8530
0.732765
1120.48
-1.8439
162.56
0.9073
0.721983
1094.79
-1.2481
0.9521
0.712948
1073.25
1.0000
0.701737
1047.01
39.59
170.44
-11.69
26.77
-0.7750
177.50
-7.20
15.54
0.0000
187.45
0.00
0.00
1329.05
0.0000
0.0531
0.813576
1324.05
-0.5399
0.1065
0.810775
1317.38
-1.0385
0.1557
0.808103
1311.64
0.2072
0.804762
1303.36
0.2506
0.801687
1295.24
MA
0.3127
0.797424
1283.79
-2.6097
0.4087
0.789210
1262.46
-3.0360
0.5054
0.778328
1233.98
0.6066
0.765858
1199.82
-2.9377
0.7056
0.9521 1.0000
ED
-1.8724 -2.1500
PT
0.9073
-1.4961
-3.0330
AC CE
0.8530
SC
0.816087
NU
0.0000
RI P
-16.46
313.15 K
0.8036
T
0.5054
0.751975
1162.23
-2.6487
0.736701
1121.95
-2.2141
0.728195
1098.97
-1.8975
0.717270
1072.85
-1.2812
0.708129
1050.45
-0.7935
0.696811
1023.80
0.0000
The uncertainty in density, viscosity and speeds of sound is ±2∙10-3 kg∙m-3, ±0.03 mPa∙s and ±0.1 m∙s-1 respectively.
17
ACCEPTED MANUSCRIPT Table6. Viscosities, , viscosity deviations, and excess Gibbs free energies of activation for viscous flow, G *E for the binary mixture at different temperatures:
G *E
(mPas)
(mPas)
(J mol-1 )
RI P
DIIPA + 1-Hexanol, 298.15 K
T
1
4.439
0.000
0.000
0.0503
3.969
-0.266
19.192
0.1067
3.510
0.1499
3.195
0.2041
2.823
0.2530
2.501
0.3054
2.188
0.4026
1.665
0.4986
1.272
0.6007
SC
0.0000
47.618
-0.636
70.697
-0.788
86.201
-0.912
77.863
-1.013
59.704
-1.141
-30.084
-1.144
-114.718
0.952
-1.050
-209.500
0.718
-0.850
-251.054
0.582
-0.614
-207.758
0.520
-0.463
-160.196
0.471
-0.309
-94.852
0.9545
0.420
-0.147
-54.888
1.0000
0.382
0.000
0.000
0.0000
3.675
0.000
0.000
0.0503
3.366
-0.142
62.509
0.1067
3.018
-0.304
106.042
0.1499
2.751
-0.428
117.635
0.2041
2.438
-0.562
121.843
0.2530
2.171
-0.667
109.200
0.3054
1.900
-0.764
73.324
0.4026
1.475
-0.867
-2.352
0.4986
1.156
-0.869
-58.762
0.6007
0.883
-0.804
-140.349
0.7077
0.675
-0.657
-184.800
0.8518
MA
ED
AC CE
0.9021
PT
0.7077 0.7994
NU
-0.496
303.15 K
18
ACCEPTED MANUSCRIPT 0.547
-0.481
-171.687
0.8518
0.492
-0.363
-130.272
0.9021
0.443
-0.245
-94.091
0.9545
0.401
-0.114
-30.515
1.0000
0.364
0.000
RI P
T
0.7994
308.15 K
0.000
3.107
0.000
0.000
0.0503
2.859
-0.110
59.565
0.1067
2.588
0.1499
2.379
0.2041
2.114
0.2530
1.901
0.3054
1.675
0.4026
1.318
0.4986
1.046
SC
0.0000
111.695
-0.315
131.121
NU
-0.225
126.391
-0.508
123.016
-0.590
88.507
-0.678
16.343
-0.685
-38.060
0.813
-0.636
-107.693
0.628
-0.526
-159.871
0.514
-0.386
-148.736
0.462
-0.294
-119.954
0.420
-0.198
-80.330
0.9545
0.378
-0.094
-43.141
1.0000
0.347
0.000
0.000
0.0000
DIIPA + 1-Octanol, 298.15 K 7.143 0.000
0.000
0.0552
6.422
-0.348
128.832
0.1034
5.774
-0.670
208.270
0.1579
5.107
-0.968
292.555
0.2037
4.510
-1.256
311.480
0.2551
3.898
-1.520
318.022
0.3074
3.339
-1.726
309.533
0.4058
2.441
-1.958
242.004
0.5058
1.758
-1.965
152.284
0.6060
1.265
-1.781
64.291
0.7025
0.916
-1.477
-29.938
ED
0.6007
0.8518
AC CE
0.9021
PT
0.7077 0.7994
MA
-0.430
19
ACCEPTED MANUSCRIPT 0.664
-1.041
-82.374
0.8545
0.571
-0.795
-85.229
0.8931
0.509
-0.596
-87.266
0.9418
0.442
-0.333
-73.542
1.0000
0.382
0.000
RI P
T
0.8044
303.15 K
0.000
5.969
0.000
0.000
0.0552
5.366
-0.294
112.272
0.1034
4.866
0.1579
4.286
0.2037
3.870
0.2551
3.326
0.3074
2.871
0.4058
2.128
0.5058
1.535
SC
0.0000
198.801
-0.799
255.729
NU
-0.524
281.028
-1.213
291.885
-1.375
285.103
-1.566
218.979
-1.599
98.822
1.143
-1.435
51.131
0.840
-1.191
-27.941
0.616
-0.836
-50.632
0.537
-0.638
-48.960
0.487
-0.477
-43.666
0.9418
0.431
-0.263
-21.201
1.0000
0.364
0.000
0.000
ED
0.6060
0.8545
AC CE
0.8931
PT
0.7025 0.8044
MA
-1.011
308.15 K
1.0000
5.01
0.000
0.000
0.0552
4.483
-0.270
84.308
0.1034
4.045
-0.482
144.078
0.1579
3.620
-0.653
224.958
0.2037
3.235
-0.825
244.498
0.2551
2.826
-0.994
244.590
0.3074
2.455
-1.121
237.432
0.4058
1.840
-1.277
166.536
0.5058
1.352
-1.299
59.067
0.6060
1.046
-1.138
-11.399
0.7025
0.760
-0.974
-30.311
20
ACCEPTED MANUSCRIPT 0.580
-0.679
-34.209
0.8545
0.502
-0.523
-27.981
0.8931
0.452
-0.394
-21.811
0.9418
0.401
-0.217
-7.438
1.0000
0.347
0.000
0.0000
DIIPA + 1-Decanol, 298.15 K 11.192 0.000
0.0531
9.942
0.1065
8.911
0.1557
8.093
0.2072
7.186
0.2506
6.335
0.3127
5.184
0.4084
3.737
0.5054
2.653
RI P
T
0.8044
SC
-0.676
0.000 0.000 149.339 323.036
-1.416
493.834
NU
-1.130
583.069
-2.148
646.388
-2.628
697.009
-3.040
683.486
-3.076
647.531
1.752
-2.882
517.130
1.183
-2.382
402.648
0.838
-1.667
286.606
0.689
-1.282
214.850
0.531
-0.853
103.737
0.9521
0.459
-0.441
45.454
1.0000
0.382
0.000
0.000
ED
0.6066
0.853
AC CE
0.9073
PT
0.7056 0.8036
MA
-1.767
303.15 K
0.0000
9.066
0.000
0.000
0.0531
8.148
-0.456
159.426
0.1065
7.421
-0.719
354.345
0.1557
6.670
-1.041
481.889
0.2072
5.835
-1.429
559.892
0.2506
5.168
-1.717
604.272
0.3127
4.271
-2.074
623.454
0.4084
3.133
-2.379
614.021
0.5054
2.228
-2.440
541.356
0.6066
1.522
-2.265
400.475
0.7056
1.059
-1.867
287.564
21
ACCEPTED MANUSCRIPT 0.750
-1.323
212.791
0.853
0.628
-1.016
165.787
0.9073
0.494
-0.677
110.585
0.9521
0.430
-0.351
58.362
1.0000
0.364
0.000
RI P
T
0.8036
308.15 K
0.000
7.459
0.000
0.000
0.0531
6.888
-0.194
211.225
0.1065
6.317
0.1557
5.660
0.2072
4.947
0.2506
4.413
0.3127
3.777
0.4084
2.732
0.5054
2.059
SC
0.0000
407.076
-0.692
509.904
NU
-0.385
567.473
-1.264
614.576
-1.458
637.998
-1.822
618.453
-1.806
567.471
1.375
-1.770
417.186
0.956
-1.485
312.731
0.702
-1.042
243.413
0.587
-0.805
175.774
0.467
-0.539
129.833
0.9521
0.358
-0.330
30.346
1.0000
0.347
0.000
0.000
ED
0.6066
0.853
AC CE
0.9073
PT
0.7056 0.8036
MA
-1.039
The uncertainty in density, viscosity and speeds of sound is ±2∙10-3 kg∙m-3, ±0.03 mPa∙s and ±0.1 m∙s-1 respectively.
22
T
ACCEPTED MANUSCRIPT
IP
0.0
SC R
-0.5
-1
V mx10 (m mol )
-1.0
NU
-6
3
-1.5
E
-2.0
-3.0 0.2
0.4
0.6
0.8
1.0
x1
TE
D
0.0
MA
-2.5
Figure 1. Excess molar volumes ( VmE ) against mole fractions ( x1 ) for DIIPA (1) + 1-
CE P
Hexanol (2) at 293.15(■), 298.15 (●), 303.15 (▲), 308.15 (▼) and 313.15 K (♦). The
AC
smoothing curves have been drawn from equation (10) and dotted curves from PFP theory.
7
ACCEPTED MANUSCRIPT 0.0
-0.5
T
-1
V mx10 (m mol )
-1.0
-6
IP
3
-1.5
-2.5
-3.0 0.0
0.2
0.4
SC R
E
-2.0
0.6
0.8
1.0
MA
NU
x1
Figure 2. Excess molar volumes ( VmE ) against mole fractions ( x1 ) for DIIPA (1) + 1-Octanol(2) at
D
293.15(■), 298.15 (●), 303.15 (▲), 308.15 (▼) and 313.15 K (♦).The smoothing curves have been
AC
CE P
TE
drawn from equation (10) and dotted curves from PFP theory.
8
ACCEPTED MANUSCRIPT
T
0.0
IP
-0.5
SC R
-1.5
NU
-2.0
E
-6
3
-1
V mx10 (m mol )
-1.0
-3.0
-3.5 0.0
0.4
0.6
0.8
1.0
x1
TE
D
0.2
MA
-2.5
Figure3. Excess molar volumes ( VmE ) against mole fractions ( x1 ) for DIIPA (1) + 1-Decanol(2) at
CE P
293.15(■), 298.15 (●), 303.15 (▲), 308.15 (▼) and 313.15 K (♦).The smoothing curves have been
AC
drawn from equation (10) and dotted curves from PFP theory.
9
ACCEPTED MANUSCRIPT
T
0
IP
-1
Ks,m (mm mol MPa )
-5
3
-1
SC R
-10
NU
E
-15
-25 0.0
0.2
MA
-20
0.4
0.6
0.8
1.0
x1
D
Figure 4.Excess molar compressibility ( K SE, m ) against mole fractions ( x1 ) for DIIPA (1)
TE
+ 1-Hexanol(2) (■), + 1-Octanol (2) (●), + 1-Decanol (2) (▲) at 298.15 K. The smoothing
AC
CE P
curves have been drawn from equation (10).
10
ACCEPTED MANUSCRIPT
80
T
70
IP
60
SC R
D
-1
u (msec )
50
40
30
10
0.2
0.4
MA
0 0.0
NU
20
0.6
0.8
1.0
TE
D
x1
CE P
Figure 5. Deviations of speeds of sound ( u D ) from their ideal values against mole fractions (
x1 ) for DIIPA (1) + 1-Hexanol(2) (■), + 1-Octanol (2) (●), + 1-Decanol (2) (▲) at 298.15
AC
K. The smoothing curves have been drawn from equation (10).
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0.0 -0.2
T
-0.4
IP
-0.6 -0.8 -1.0
SC R
-1.4 -1.6 -1.8 -2.0 -2.2
NU
(mPa.s)
-1.2
-2.4 -2.6 -2.8 -3.2 -3.4 0.0
0.2
MA
-3.0
0.4
0.6
0.8
1.0
TE
D
x1
Figure 6.Viscosity deviations ( ) against mole fractions ( x1 ) for DIIPA (1) + 1-
CE P
Hexanol(2) (■), + 1-Octanol (2) (●), + 1-Decanol (2) (▲) at 298.15 K. The smoothing
AC
curves have been drawn from equation (10).
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800
IP
T
600
SC R
-1
G (Jmol )
400
*E
200
NU
0
0.0
0.2
MA
-200
0.4
0.6
0.8
1.0
D
x1
AC
CE P
TE
Figure 7. ExcessGibbs free energy of activation for viscous flow ( G *E ) forDIIPA (1) + 1Hexanol(2) (■), + 1-Octanol (2) (●), + 1-Decanol (2) (▲) at 298.15 K. The smoothing curves have been drawn from equation (10).
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Highlights
T
Thermodynamic study of diisopropylamine+ 1-Hexanol, + l-Octanol or + 1-Decanol have been made.
SC R
IP
The partial molar volumes and partial molar isentropic compressibilities at infinite dilution have been calculated.
AC
CE P
TE
D
MA
NU
Types of interactions were discussed based on derived properties.
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