Molar Heat Capacities of Choline Chloride-based Deep Eutectic Solvents and Their Binary Mixtures...

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Accepted Manuscript Title: Molar heat capacities of choline chloride-based deep eutectic solvents and their binary mixtures with water Authors: Rhoda B. Leron, Meng-Hui Li PII: S0040-6031(11)00579-X DOI: doi:10.1016/j.tca.2011.11.036 Reference: TCA 75896 To appear in: Thermochimica Acta Received date: 5-10-2011 Revised date: 26-11-2011 Accepted date: 29-11-2011 Please cite this article as: R.B. Leron, M.-H. Li, Molar heat capacities of choline chloride-based deep eutectic solvents and their binary mixtures with water, Thermochimica Acta (2010), doi:10.1016/j.tca.2011.11.036 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

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Molar Heat Capacities

Transcript of Molar Heat Capacities of Choline Chloride-based Deep Eutectic Solvents and Their Binary Mixtures...

  • Accepted Manuscript

    Title: Molar heat capacities of choline chloride-based deepeutectic solvents and their binary mixtures with water

    Authors: Rhoda B. Leron, Meng-Hui Li

    PII: S0040-6031(11)00579-XDOI: doi:10.1016/j.tca.2011.11.036Reference: TCA 75896

    To appear in: Thermochimica Acta

    Received date: 5-10-2011Revised date: 26-11-2011Accepted date: 29-11-2011

    Please cite this article as: R.B. Leron, M.-H. Li, Molar heat capacities ofcholine chloride-based deep eutectic solvents and their binary mixtures with water,Thermochimica Acta (2010), doi:10.1016/j.tca.2011.11.036

    This is a PDF file of an unedited manuscript that has been accepted for publication.As a service to our customers we are providing this early version of the manuscript.The manuscript will undergo copyediting, typesetting, and review of the resulting proofbefore it is published in its final form. Please note that during the production processerrors may be discovered which could affect the content, and all legal disclaimers thatapply to the journal pertain.

    dx.doi.org/doi:10.1016/j.tca.2011.11.036dx.doi.org/10.1016/j.tca.2011.11.036

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    Highlights > The molar heat capacities for choline chloride-based deep eutectic solvents and their binary mixtures with water were measured. > The measured data were reported as functions of temperature and composition. > A RedlichKister type equation was used to correlate the data. > The applied correlation satisfactorily represented the data.

    *Highlights

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    Molar heat capacities of choline chloride-based deep

    eutectic solvents and their binary mixtures with water

    Rhoda B. Leron, Meng-Hui Li

    *

    R&D Center for Membrane Technology and Department of Chemical Engineering,

    Chung Yuan Christian University, Chung Li, 32023, Taiwan, R.O.C.

    *Corresponding author. Tel: + 886 3 265 4109; fax: + 886 3 265 4199; E-mail address:

    [email protected] (M.-H. Li)

    ABSTRACT

    In this study, the molar heat capacities, CP, of three choline chloride-based deep eutectic solvents

    (DESs); Reline, Ethaline and Glyceline, and their binary mixtures with water were determined. Using

    a heat flow differential scanning calorimeter, the heat capacities were measured at standard pressure

    from (303.2 to 353.2) K and over the complete range of composition. Results showed that the molar

    heat capacity increased with increasing temperature and, for the binary systems, with increasing DES

    concentration. The temperature-dependence of the pure DESs were successfully represented by a

    second-order empirical correlation with an AAD% of 0.05. The excess molar heat capacities, CPE, of

    the binary mixtures also determined and found generally negative over the whole composition range

    while exhibiting negative temperature dependence. The CPE values were fitted to a Redlich-Kister type

    equation to correlate them to the temperature and DES mole fraction and the molar heat capacities of

    the binary mixtures were predicted. The applied models successfully correlated the experimental CP

    data as functions of both temperature and composition.

    *Manuscript

    http://ees.elsevier.com/tca/viewRCResults.aspx?pdf=1&docID=5920&rev=1&fileID=162807&msid={254655AB-4D17-4490-816B-6A555428D9F7}

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    KEYWORDS: Choline chloride, Deep eutectic solvents, Excess molar heat capacity, Molar heat

    capacity, RedlichKister equation

    1. Introduction

    Room-temperature ionic liquids (RTILs) have attracted much attention over the past decades. Due

    to their unique properties such as negligible vapor pressure, wide liquid range, high thermal stability,

    high solvation capacity and non-flammability [1-7], their potential use in a variety of chemical and

    industrial applications has been greatly explored. However, RTILs are too expensive to be used in bulk

    applications. Some of them even have very low moisture tolerance and their toxicology remains

    unclear [8-10].

    Low-cost alternatives to RTILs are deep eutectic solvents (DESs). They belong to another class of

    ionic liquids made by mixing a quaternary ammonium salt with a metal salt [11], a hydrated salt [12]

    or a simple hydrogen bond donor (HDB) such as alcohol, amide and carboxylic acid [13, 14] as

    complexing agent. This result in the formation of a eutectic mixture with a melting point that is

    considerably lower than its original precursors; hence, it is called DES. DESs were found to have

    similar characteristics with RTILs [15, 16]. They posses unusual solvent properties and have the

    potential as tunable solvents due to the great number of possible complexing agents available [17, 18].

    Furthermore, DESs overcome some disadvantages inherent to conventional RTILs. They are easy to

    prepare in the pure state at relatively low cost, non reactive with water, with biodegradable

    constituents and their toxicology is known [14, 19]. Because of these unusual characteristics, DESs

    have become the interest of many recent undertakings. They were used as solvents in the

    electrodeposition and electropolishing of metals, metal oxide processing and other synthetic processes

    [20-23]. They are also considered as potential green solvents for biodiesel purification [24, 25],

    polymer synthesis [26-28], drug solubilization [19] and gas (i.e. CO2) absorption [29, 30].

    The evaluation of DESs as solvents for specific applications requires knowledge of their physical

    and thermodynamic properties. The heat capacity, for instance, is one of the properties necessary to

    assess the suitability of DESs as solvents for heat transfer applications. To date, however, there is

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    practically no data available on the heat capacity of most deep eutectic solvents as well as for their

    binary mixtures with water. Thus, in this work, the molar heat capacities, CP, of three DESs namely:

    Reline, Ethaline and Glyceline and their aqueous mixtures were determined. All of which are based on

    choline chloride as the quaternary ammonium salt being the most commonly used precursor for

    eutectic based ionic liquids due to its biodegradability and low cost [31]. The measurements were done

    over the temperature range (303.15 to 353.15) K and for the entire range of composition (DES mole

    fraction, x1 = 0.1 0.9). For the pure DESs, the temperature-dependence of the CP was represented by

    a second-order empirical equation. Also the excess molar heat capacity, CPE, for the binary systems

    were determined. Using a RedlichKister type equation, the experimental CPE and the CP data were

    correlated to the systems temperature and composition.

    2. Experimental Section

    2.1 Chemicals

    The pure deep eutectic solvents Reline, Ethaline and Glyceline (purity > 98%) were obtained

    from Scionix Ltd. Their specific compositions, molar masses and freezing points are given in Table 1.

    All pure samples were used without further purification except for drying. Each pure sample was

    vacuum dried at 343 K for at least 48h, in an evacuated oven, to remove any volatile impurities and

    reduce the water content to minimum. The water contents of the samples after drying were measured

    using a Mettler Toledo Karl-Fischer (model DL31) titrator and were 1.5 10-3

    (mass fraction).

    Distilled deionized water (Type I reagent-grade; resistivity = 183 Mcm; total organic carbon

    content (TOC) < 15 ppb), processed in a Barnstead Thermolyne (model Easy Pure 1052) water system,

    was used in all the experiments. All weight measurements were done using a Mettler Toledo (model

    AL204) digital balance with an accuracy of 1 10-4

    g.

    2.2 Measurement of molar heat capacity

    The heat capacity, CP, measurements were performed in a differential scanning calorimeter (DSC)

    from TA Instruments (model DSC-2010) that was equipped with a thermal analysis controller. The

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    repeatability of the temperature measurements is 0.1C. The DSC has a calorimetric sensitivity of 1

    W (rms) and a calorimetric precision of 1% based on measurements of metal samples. The

    apparatus and the experimental procedures were described in detail in the previous work of Chiu et al.

    [32] and only pertinent details are discussed here.

    For each measurement, a sample of mass (10 15) mg encapsulated in an aluminum hermetic

    sample pan was used. The CP of the sample was measured by comparing the differential heat flow

    curve of the sample with that of standard sapphire. Both curves were blank corrected. For each run, the

    method used consisted a 5-min isothermal period at 20C, followed by a temperature ramp from (20C

    to 90C) at a heating rate of 5 K/min, and then an isothermal stage at 90C for the final 5 min. The

    purge gas used was nitrogen at a flow rate of 40 mL/min. For each sample, measurements were done in

    three to five replicate runs. The method used was validated by measuring the CP of water of which the

    details were discussed in our previous works [33, 34]. Based on tests performed with water and taking

    into account the uncertainties in the weighing involved, the overall uncertainty in our CP measurements

    was estimated to be 2%. In addition, periodic calibration (using indium as calibrant) of the DSC was

    conducted to ensure the accuracy of the measurements.

    3. Results and Discussion

    The experimental molar heat capacities, CP, of the pure DESs Reline, Ethaline and Glyceline at

    different temperatures are summarized in Table 2. Results show that the CP of the pure DESs increase

    with temperature. It can also be noted that, at the same temperature, the CP values are in the order:

    Reline < Ethaline < Glyceline, indicating that the CP increases with increasing DES molar mass. Such

    results may be expected since CP is associated with the number of translational, vibrational, and

    rotational energy storage modes in the molecule [35, 36]. It is also apparent that, at the same

    temperature, the CP of each pure DES is greater than that of water, which can be attributed to the

    higher molar mass of the DES compared to water. To our knowledge, there is no data on the heat

    capacity of the pure DESs studied here except for a single data reported for the CP of Glyceline at

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    298 K (cP = 1.71 0.03 Jg1

    K1) [37] which appears to be lower than our reported measurements.

    The difference in the purity and water content of the purchased DES may have contributed to such

    deviation.

    The experimental CP values for the pure DESs were correlated to the temperature using a

    second-order empirical polynomial equation of the form

    2-1 -1

    P 0 1 2/ J mol K / K / KC a a T a T (1)

    where T is the absolute temperature and a0, a1 and a2 are fitting parameters determined by the

    least-squares method. The determined parameters and the AAD% of the fit are tabulated in Table 3.

    The absolute average deviation (AAD) between the experimental and calculated data were determined

    using the following equation

    cal exp expi=1100

    AAD / % /n

    in (2)

    where cal and exp are the experimental and calculated values, respectively. Based on the overall AAD

    of 0.05 % for a total of 33 data points, it can be said that the proposed equation provides good

    correlation of the experimental data. This is also shown by the excellent fit between the experimental

    and calculated CP values given in Figure 1.

    The molar heat capacities of the binary solutions of Reline, Ethaline and Glyceline with water at

    different temperatures and DES mole fractions, x1 are presented in Tables 4, 5 and 6, respectively. To

    clearly show the temperature- and composition-dependences of the obtained CP data, a representative

    plot for the CP of the binary solutions of Reline (1) + H2O (2) as a function of temperature is presented

    in Figure 2. Results show that for the aqueous binary systems, CP values slightly increase with

    increasing temperature. This effect, however, decreases as the mole fraction of the DES decreases. It is

    also clear that CP of the binary solutions increases as the concentration of the DES increases. Such

    results are expected since the CP of the pure DESs are higher than that of water. Similar behaviors

    were also observed for the binary solutions of the other DES systems (Ethaline and Glyceline)

    investigated in this study. These trends have also been observed for many ionic liquids reported in

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    literature [36, 38] and in our previous works [33, 34, 39-43]. Since DES is a class of ionic liquids, it is

    not surprising that they exhibit behaviors similar to those of RTILs.

    The excess molar heat capacity of a binary mixture, CPE, is generally defined as the difference

    between the heat capacity of the real mixture and that of the ideal mixture. In this work, the CPE for the

    aqueous DES solutions were calculated using the expression defined by Lide and Kehiaian [44] as

    E

    P P P, i i

    i

    C C x C (3)

    where CP, i is the molar heat capacity of the pure component i. For liquid water, the CP data used in the

    calculations were those reported by Osborne et al. [45].

    The excess molar heat capacities, CPE, are shown as points on the curves in Figures 3 to 5. As

    shown, for all three DES systems, the CPE for the binary solutions are generally negative over the

    whole composition range suggesting the presence of stronger interactions between DES and water than

    those in the pure liquids. Negative temperature dependence was also observed. For Reline + H2O

    mixtures (Figure 3), a minimum occurred in the low DES concentration region (x1~ 0.3) while for

    Ethaline + H2O (Figure 4) and Glyceline + H2O (Figure 5) systems the minima were virtually observed

    at intermediate compositions. At high water concentrations and high temperature, a maximum was also

    observed for Glyceline + H2O system which may be due to partial dissociation of the DES as a result

    of dilution [46] and the weakening of the hydrogen bonds in the DES at elevated temperature [47, 48].

    It is also noticeable that the trends in the CPE are similar for Ethaline + H2O and Glyceline + H2O

    systems which may be attributed to the similarity in structure of the hydrogen bond donors comprising

    the two DESs. The CPE values for these two systems were also relatively smaller than those of the

    Reline + H2O solutions.

    The excess molar heat capacity, CPE were correlated to the composition and temperature using a

    RedlichKister type equation of the form

    1E -1 -1

    P 1 2 1 2

    1

    / J mol Kn

    i

    i

    i

    C x x A x x

    (4)

    Ai was assumed to be temperature-dependent such that

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    ,0 ,1 / Ki i iA a a T (5)

    where ai,0 and ai,1 are the fitting parameters whose values are summarized in Table 7, along with their

    corresponding AAD. The predicted values are shown as smooth curves in Figures 3 to 5. With the

    good agreement between the experimental and predicted data and the low overall AAD values of 0.08

    and 4.3 % for Cp and CPE, respectively, it can be said that applied empirical equation successfully

    correlated our experimental data to both temperature and composition.

    4. Conclusions

    The molar heat capacities of the deep eutectic solvents Reline, Ethaline and Glyceline and their

    binary mixtures with water were measured in the temperature range (303.2 to 353.2) K and over a

    complete range of composition. The CP of the pure DES varied slightly with temperature. This

    temperature-dependence was suitably represented by a second-order empirical equation with three

    fitting parameters.

    For the DES + H2O systems, the CP increased with increasing temperature and DES mole fraction

    in the solution. The excess molar heat capacities of the binary solutions were generally negative over

    the whole composition range while exhibiting negative temperature dependence. The CPE was

    successfully correlated to the temperature and composition using a RedlichKister type equation with

    low overall AAD values of 0.08% for CP and 4.3% for CPE. It can therefore be concluded that the data

    and correlations presented in this work can be used in engineering design calculations with sufficient

    accuracy.

    Acknowledgements

    This research was supported by Grant, NSC 99-2221-E-033-044-MY3, of the National Science

    Council of the Republic of China.

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    eutectic solvents: A suitable approach to deep eutectic duspensions of self-assembled structures,

    Langmuir, 25 (2009) 55095515.

    [47] E. Gomez, B. Gonzalez, N. Calvar, E. Tojo, A. Dominguez, Physical properties of pure

    1-Ethyl-3-methylimidazokium ethysulfate and its binary mixture with ethanol and water at

    several temperatures, J. Chem. Eng. Data, 51 (2006) 2096-2102.

    [48] A.P. Abbott, R.C. Harris, K.S. Ryder, Application of hole theory to define ionic liquids by their

    transport properties, J. Phys. Chem. B, 111 (2007) 4910 - 4913

    [49] K. Shahbaz, F.S. Mjalli, M.A. Hashim, I.M. AlNashef, Prediction of deep eutectic solvents

    densities at different temperatures, Thermochim. Acta, 515 (2011) 67-72.

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    Table 1

    Choline chloride (ChCl)-based DESs studied, their compositions, molar masses and freezing points

    DES trade namea

    HBD Molar ratio

    (ChCl:HBD)

    Molar mass,

    MDESb

    (gmol-1

    )

    Freezing point

    (oC)

    Reline Urea 1:2 86.58 12 [13]

    Ethaline Ethylene glycol 1:2 87.92 -66 [49]

    Glyceline Glycerol 1:2 107.94 -35 [24]

    a Trade/commercial name given to the DES by the manufacturer (Scionix Ltd).

    b where x and M are mole fraction and molecular weight, respectively. ChCl ChCl HBD HBDM x M x M DES

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    Table 2

    Molar heat capacities of pure DESs

    Molar heat capacity, CP (Jmol-1

    K-1

    )a

    T (K) Reline Ethaline Glyceline

    303.15 181.4 0.5 190.8 0.4 237.7 0.6

    308.15 182.2 0.6 192.2 0.3 239.1 0.5

    313.15 183.2 0.5 194.0 0.3 240.8 0.4

    318.15 183.5 0.5 194.9 0.4 241.9 0.2

    323.15 184.5 0.6 196.4 0.2 243.5 0.4

    328.15 185.3 0.6 197.6 0.2 244.9 0.1

    333.15 186.4 0.5 199.2 0.3 246.9 0.1

    338.15 187.4 0.5 200.6 0.3 248.4 0.4

    343.15 188.5 0.7 202.1 0.1 250.3 0.3

    348.15 189.5 0.6 203.9 0.2 252.1 0.3

    353.15 190.8 0.8 205.6 0.2 254.3 0.4

    a J/molK refers to J/molDESK.

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    Table 3

    Fitting parameters for Eq. (1)a for the CP of the pure DES

    parameter no. of data

    points, n AAD

    b (%)

    DES a0 a1 a2

    Reline 247.4 -0.5633 1.141 10-3

    11 0.05

    Ethaline 181.9 -0.1936 7.371 10-4

    11 0.06

    Glyceline 302.8 -0.6783 1.531 10-3

    11 0.04

    overall 33 0.05

    a 2-1 -1

    P 0 1 2/ J mol K / K / KC a a T a T .

    b cald expt expti=1100

    AAD / % /n

    in .

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    Table 4

    Molar heat capacities of Reline (1) + H2O (2) solutions

    Molar heat capacity, CP (Jmol-1

    K-1

    )a

    T (K) x1 = 0.0998 x1 = 0.2995 x1 = 0.4981 x1 = 0.6975 x1 = 0.8926

    303.15 81.51 0.1b

    100.5 0.3 122.1 0.2 145.0 0.8 168.3 0.2

    308.15 81.93 0.1 101.1 0.3 122.9 0.2 146.1 0.9 169.2 0.1

    313.15 82.32 0.1 101.7 0.3 123.8 0.3 147.1 0. 8 170.1 0.2

    318.15 82.44 0.2 102.1 0.4 124.3 0.2 147.6 1.0 170. 6 0.3

    323.15 82.79 0.2 102.8 0.4 125.2 0.2 148.5 0.8 171.4 0.3

    328.15 83.09 0.2 103.4 0.4 125.9 0.3 149.2 1.0 172.3 0.4

    333.15 83.51 0.2 104.1 0.4 126.8 0.3 150.3 1.0 173.4 0.6

    338.15 83.82 0.2 104.8 0.5 127.7 0.3 151.1 1.0 174.2 0.4

    343.15 84.17 0.2 105.6 0.5 128.5 0.5 152.3 1.1 175.3 0.5

    348.15 84.62 0.1 106.3 0.6 129.6 0.4 153.3 1.2 176.5 0.4

    353.15 85.15 0.1 107.4 0.6 130.7 0.4 154.6 0.9 177.8 0.5

    a J/molK refers to J/molsolnK.

    b Mean standard deviation.

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    Table 5

    Molar heat capacities of Ethaline (1) + H2O (2) solutions

    Molar heat capacity, CP (Jmol-1

    K-1

    )

    T (K) x1 = 0.0997 x1 = 0.3005 x1 = 0.4965 x1 = 0.6937 x1 = 0.8893

    303.15 84.33 0.6 104.7 0.4 126.8 0.2 151.0 0.3 175.9 0.3

    308.15 84.93 0.5 105.8 0.4 128.1 0.4 152.5 0.3 177.3 0.2

    313.15 85.45 0.5 106.8 0.4 129.4 0.4 153.7 0.2 178.9 0.3

    318.15 85.68 0.5 107.5 0.4 130.2 0.4 154.6 0.3 179.8 0.2

    323.15 86.10 0.5 108.5 0.4 131.3 0.5 155.9 0.3 181.2 0.4

    328.15 86.37 0.4 109.3 0.3 132.3 0.6 157.1 0.3 182.4 0.3

    333.15 86.89 0.4 110.2 0.3 133.6 0.6 158.4 0.3 183.9 0.3

    338.15 87.21 0.3 111.1 0.3 134.7 0.7 159.6 0.3 185.2 0.3

    343.15 87.56 0.3 112.0 0.3 135.9 0.7 161.0 0.3 186.6 0.3

    348.15 87.95 0.1 112.9 0.4 137.1 0.7 162.3 0.1 188.2 0.1

    353.15 88.34 0.1 114.0 0.2 138.4 0.7 163.9 0.3 189.8 0.5

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    Table 6

    Molar heat capacities of Glyceline (1) + H2O (2) solutions

    Molar heat capacity, CP (Jmol-1

    K-1

    )

    T (K) x1 = 0.1000 x1 = 0.2995 x1 = 0.4947 x1 = 0.6993 x1 = 0.8980

    303.15 88.93 0.1 119.2 0.1 150.4 0.4 184.4 0.4 218.8 0.6

    308.15 89.42 0.1 120.2 0.2 151.6 0.5 185.7 0.4 220.4 0.7

    313.15 89.92 0.1 121.2 0.1 153.0 0.7 187.1 0.6 221.9 0.5

    318.15 90.19 0.1 122.0 0.1 153.8 0.6 188.1 0.6 223.0 0.6

    323.15 90.69 0.1 123.0 0.1 155.2 0.6 189.4 0.5 224.5 0.7

    328.15 91.02 0.1 123.9 0.1 156.2 0.7 190.5 0.4 225.8 0.9

    333.15 91.66 0.1 125.0 0.1 157.8 0.7 192.3 0.5 227.6 0.9

    338.15 92.08 0.1 126.0 0.1 159.0 0.7 193.8 0.5 229.1 0.9

    343.15 92.56 0.1 127.0 0.1 160.3 0.7 195.3 0.6 230.9 1.1

    348.15 93.10 0.1 128.1 0.1 161.7 0.8 196.8 0.8 232.6 0.9

    353.15 93.51 0.1 129.3 0.1 163.3 0.9 198.7 0.6 234.7 1.2

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    Table 7

    Fitting parameters for Eq. (4) a

    for the aqueous DES systems

    parameters no. of data points

    AAD (%)

    System i ai,0 ai,1 CPE CP

    Reline (1) + H2O (2) 1 -110.2 0.2855

    55 3.5 0.09 2 63.55 -0.1542

    3 -41.53 0.0919

    Ethaline (1) + H2O (2) 1 -120.1 0.3219

    55 4.7 0.08 2 74.78 -0.2344

    3 8.112 -0.0269

    Glyceline (1) + H2O (2) 1 -125.6 0.3502

    55 4.8 0.06 2 83.75 -0.2695

    3 -20.67 0.0471

    overall 165 4.3 0.08

    a 1E -1 -1

    P 1 2 1 2

    1

    / J mol Kn

    i

    i

    i

    C x x A x x

    where ,0 ,1 / Ki i iA a a T .

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    Figure Captions

    Figure 1. Molar heat capacity of the pure DES as a function of temperature: , Reline; , Ethaline;

    , Ethaline, data from this work; and lines, calculated using Eq. (1)

    Figure 2. Molar heat capacity for Reline (1) + H2O (2) solutions as a function of temperature, at

    different mole fractions: , x1 1.0; , x1 0.1; , x1 0.3; , x1 0.5; , x1 0.7; , x1 0.9,

    data from this work; , liquid water, data from Osborne et al. [45]; and lines, calculated using Eqs. (3)

    and (4)

    Figure 3. Excess molar heat capacity, for Reline (1) + H2O (2) solutions as a function of DES mole

    fraction, at different temperatures: , 303.2 K; , 313.2 K; , 323.2 K; , 333.2 K; , 343.2 K; ,

    353.2 K; and lines, calculated using Eq. (4)

    Figure 4. Excess molar heat capacity, for Ethaline (1) + H2O (2) solutions as a function of DES mole

    fraction, at different temperatures: , 303.2 K; , 313.2 K; , 323.2 K; , 333.2 K; , 343.2 K; ,

    353.2 K; and lines, calculated using Eq. (4)

    Figure 5. Excess molar heat capacity, for Glyceline (1) + H2O (2) solutions as a function of DES mole

    fraction, at different temperatures: , 303.2 K; , 313.2 K; , 323.2 K; , 333.2 K; , 343.2 K; ,

    353.2 K; and lines, calculated using Eq. (4)

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    Figure 1

    Leron et al., 2011

    300 310 320 330 340 350 360

    120

    160

    200

    240

    280

    CP/

    Jm

    ol-1K

    -1

    T/ K

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    Figure 2

    Leron et al., 2011

    300 310 320 330 340 350 360

    60

    90

    120

    150

    180

    210

    CP/

    Jm

    ole

    -1K

    -1

    T/ K

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    Figure 3

    Leron et al., 2011

    0.0 0.2 0.4 0.6 0.8 1.0

    -8

    -6

    -4

    -2

    0

    2

    CP

    E/

    Jm

    ol-1K

    -1

    x1

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    Figure 4

    Leron et al., 2011

    0.0 0.2 0.4 0.6 0.8 1.0

    -6

    -4

    -2

    0

    2

    CP

    E/

    Jm

    ol-1K

    -1

    x1

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    Figure 5

    Leron et al., 2011

    0.0 0.2 0.4 0.6 0.8 1.0

    -6

    -4

    -2

    0

    2

    CP

    E/

    Jm

    ol-1K

    -1

    x1