The Audio Frequency Conductance Study of SomeMetal Succinate Salts in AqueousMedium at Different Temperatures ( Part I : Magnesium , Manganese ( II ) , Barium and Copper Succinates )

e audio electrical conductances of aqueous solutions of magnesium, manganese II, barium, and copper succinates have been measured at various temperatures in the range of 298.15K to 313.15K, using an audio frequency conductance bridge.e evaluation of conductance data was carried out by minimisation technique using the theoretical equations of the complete and modi�ed forms of Pitts (P) and Fuoss-Hsia (F-H), each a three-parameter equation, association constant (KKAA), molar conductance (Λmm), and distance parameter (a).Quantitative results showed that these salts donot behave as “strong” electrolytes, and that their dissociations are far from complete. e abnormally low conductances of these electrolytes are not due to the presence of electrically neutral molecules but to the ion-pair formation.eWalden product values, as well as the standard thermodynamics functions (ΔHH,ΔGG, ΔSS) for the association reaction at the four temperatures studied, have been evaluated.


Introduction
e conductance of any electrolyte at in�nite dilution is generally recognised to be dependent upon temperature, viscosity, and dielectric constant.Also, it is well established that the extent of association of a series of electrolytes in di�erent solvents is speci�c for any ion-solvent combination, rather than being dielectric constant dependent.Information on ion-ion and ion-solvent and interactions can be obtained from conductivity measurement [1][2][3][4].In a series of conductance studies, there have been numerous investigations of association behavior of 1 : 1 electrolytes in aqueous and binary mixed solvents.
On the other hand, the conductance behavior of 2 : 2 electrolytes (specially salts of dicarboxylic acids) has received relatively little attention.is is largely due to the difficulty encountered in analysing such data since the usual methods require an arbitrary choice for some of the parameters needed in the analysis.However, there were no available cited recent studies in the literature concerning the association of the bivalent cations with bivalent organic ligands.In part I of this paper, we report conductance measurement of magnesium, manganese II, barium, and copper succinates in aqueous medium at various temperatures in the range 298.15-313.15K. Metal succinates play an important role in biological and industrial processes [5][6][7][8].Four currently used conductance equations, the complete and expanded forms of both Fuoss-Hsia and Pitts equations, have been used to analyse conductance data for these succinate salts.Also, the thermodynamic parameters Δ ∘ , Δ ∘ , and Δ ∘ were evaluated by investigating the process over a certain temperature range.In addition, Walden product was derived and discussed.

Experimental
Measurements were made at a range of temperatures between 298. 15   bridge of low impedance.It combines speed and simplicity of operation with 0.05% accuracy.e cell used for measuring conductances has been described elsewhere [9].e cell constant (as determined by standard solutions of potassium chloride) was 1.04079 cm −1 .e method used for measuring conductances has been described [9].

Materials
e KCl used in this work was puri�ed and used according to the literature [9].Magnesium succinate was prepared by addition of clean and dried magnesium ribbon to a solution of succinic acid.e PH of solution was continuously tested until the solution became neutral.en the mixture was �ltered to remove the excess of metal added, a�er which the solvent was evaporated on a water bath.e product was recrystallized twice from conductivity water and dried by air at room temperature.e �nal product was a white crystalline powder as the tetrahydrate.e composition of the salt was determined by elemental analysis.e salt was further analysed for magnesium by titration with the disodium salt of ethylenediaminetetraacetic acid (EDTA) using eriochrome black T as indicator [10].Manganese succinate was prepared by the method described by Vogel [12] with some modi�cation."Analar" grade manganese chloride solution was added to a solution of sodium succinate.e reaction here was continued until the pH of the mixture became neutral.e mixture was heated on a water bath until a quarter of it was gained.e remaining solution was le for 24 hours.en light pink crystals formed.e mixture was �ltered off.e product was washed with chilled conductivity water until it became free from chloride ions; aer that the �nal product was dried by air at room temperature.Elemental analysis con�rmed the composition with experimental/calculated values (mass percent): C 20.3/19.8,H 5.7/5.0.FT-IR spectra exhibit the following absorption bands (KBr pellet, /cm −1 ): (O-H) bands at 3505 and 3417 cm −1 ; stretching frequencies corresponding to the carboxylate ion (CO 2 ) and (CO) at 1657, 1552, 1462, 1406, 1329, 1285, and 1244 cm −1 ; the 1172 cm −1 absorption band is associated with (C-C) and the following absorptions with metal-oxygen bonding and with (C-H) 1037, 970, 856, 798, 671, and 525 cm −1 .e H-NMR   = 2.3 ppm.e same method [12] was carried out for the preparation of barium succinate."Analar" grade barium chloride dihydrate solution was added to a solution of sodium succinate, and the rest was that as described before for manganese succinate.e product was a white crystalline powder.Elemental analysis con�rmed the composition with experimental/calculated values (mass percent): C 15. Units of Λ 0 : ohm −1 cm 2 mol −1 ,   : dm 3 mol −1 , a: nm,  salt : cm 2 s −1 , : unitless, and Λ 0 : ohm −1 cm 2 mol −1 Cp.
All stock solutions were prepared by weight, and all measurements were done using the weight dilution technique.Figure 1 illustrates an example of FT-IR run.

Result and Discussion
e measured molar conductances Λ and the corresponding concentrations  in mol⋅dm

𝑗
where  2 is de�ned by Standard thermodynamic quantities for the association reaction are obtained from the temperature dependence of the association constant   .e standard enthalpy change (Δ ∘ ) was determined from the slope of log   versus 1/ [13] as follows: and the standard Gibbs energy (Δ ∘ ) and entropy (Δ ∘ ) changes were calculated using the well-known relations Also the diffusion coefficients of the salts ( salt ) can be founded from the equation [14]  salt   ( * ) where   .31 j K −1 mole −1 ,   500 , and   2, while the Walden's product can be calculated as a function of temperature by using Units of Λ 0 : ohm −1 cm 2 mol −1 ,   : dm 3 mol −1 , a: nm,  salt : cm 2 s −1 , : unitless, and Λ 0 : ohm −1 cm 2 mol −1 Cp.
It was noted that the minimisation Λ 0 and  values for the complete and modi�ed Fuoss-Hsia equations were almost greater than those values obtained using the complete and modi�ed forms of the Pitts.e reason for this has been discussed by Fernandez-Prini and Prue [15,16] in outline, and by Pitts et al. [17] in detail.e Brownian terms in the velocity of the ion were neglected by Pitts.Also, Pitts equation does not allow for the kinetic (osmotic) terms which contributed to the increase in velocity of the ion.
It was obvious from the minimisation technique that the parameter Λ 0 had the greatest effect on the values of  2 during the variation of the three parameters   , Λ 0 , and .is is to be expected, in so far as Λ 0 is the leading term in all the conductance equations.However, Λ 0 was relatively insensitive to the values of   and  at the corresponding minima of  2 .
Form the association constants given in Tables 5-8, at different temperatures, it can therefore be anticipated that these salts do not behave as "strong" electrolytes, and that their dissociations are far from complete.It can also be seen that copper succinate undergoes more ion-pair formation according to the quantitative conductance data.In conclusion, it appears that the copper succinate is capable of showing a marked tendency to autocomplex formation, similar to the same tendency as for copper malonate [18,19].e high-association constant for the Cu(II) salt, with the ready availability of d-levels in the cation, illustrates this tendency.At present, however, it is not possible to make a calculation for such complex formation in our computer programs.So, no further analysis was done for this salt.On the above views, it can be generally predicated, for all studied salts, that the degree of dissociation is highly changed from one to another.e succinate ion possesses the donor property to a less degree than both oxalate and malonate ions [20,21], so it can also be emphasized that succinate salts are more highly dissociated than the oxalates [22] and malonates [23,24].
In Figures 2, 3, 4, and 5, curves of molar conductance versus square root of concentration at four temperatures have been obtained for the four succinate salts.For these electrolytes, the measured conductivity was abnormally small.Abnormally weak salts usually form autocomplexes readily, as are shown by Ives and Riley's conductivity measurements [25] for copper malonate.In this work, with the exception of copper succinate, however, the experimental conductances give no evidence of this.e same conclusion was found for other systems by other authors [9,[18][19][20][21][22][23][24].
Considering the difficulties resulting from the limited solubilities of the succinate salts, the values obtained in this work for   , Λ 0 , and  are satisfactory, providing a particularly good example for typical incompletely dissociated electrolytes, the thermodynamic association constants of Units of Λ 0 : ohm −1 cm 2 mol −1 ,   : dm 3 mol −1 , a: nm,  salt : cm 2 s −1 , : unitless, and Λ 0 : ohm −1 cm 2 mol −1 Cp. which conform to the law of mass action.e abnormally low conductances of these electrolytes are not due to the presence of electrically neutral molecules but to the ion-pair formation.is is to be indicated by further measurements at high different frequencies which will be taken into consideration in the future studies.Such evidence has been shown for both oxalate [22] and malonate salts [9], as well as for Mg and Mn sulphates [26].
It is obvious from Tables (5-8) that some  values are small, while others are large depending on the type of the four conductance equations used.e explanation for such discrepancies in these results is that the small  values indicate that the linkage is largely covalent [18,19,27] and not merely due to "coulomb" ion association.e large  values were explained by the fact that the assumption of spherical symmetry and a central charge is far from truth for the succinate ion just like that in barium malonate [18,19].
Recently, an investigation of Mg, Ca, and Ba complexes in aqueous solution was carried out [28].e result showed that the conductance of Mg +2 ion is much lower due to greater interaction between the charge on the ion and the dipoles of the adjacent solvent molecules, which leads to a reduction in mobility.A good agreement between their values of Λ 0 for Mg and Ba succinates and our present values was obtained for both salts.
In order to obtain a better understanding of the thermodynamics of the association reactions for the studied salts, it is useful to consider the enthalpic and entropic contributions to these associations.e standard enthalpy, free energy and entropy changes were determined by using ( 3) and ( 4), respectively, at different temperatures.Summarizing at this point, give the conductometric association constant   , the standard free energy change for the postulated equilibrium can be determined.is opens the way to a search for correlations between Δ ∘ , Δ ∘ , and Δ ∘ on the one hand and basic properties of solutes and solvents on the other hand.According to the minimisation technique used here, each of the seven systems gave a unique best set of parameters at each temperature.While the best   and Λ 0 showed an expected trend with temperature, this trend for  was quite irregular and covered a broader range of values.Tables 5-8 show clearly the temperature dependence of the Λ 0 of particular systems.e increase of Λ 0 with an increase of temperature is due to the decrease of solvent viscosity.Bearing in mind that dielectric constant decreases as temperature increases, an increase in temperature should play important role in stabilizing ion-pairs of reaction.So,   increases as shown in the same mentioned tables.Furthermore, when the dielectric constant of the solvent becomes smaller as temperature increases, the electrostatic contribution dominates.As a consequence, many complexes become signi�cantly stable at high temperatures [30].e same trend was found by Franchini et al. [31] for a conductometric study of dissociation of picric acid in two different organic solvents at different temperatures, as well as by Sokol et al. [13] in their study for the thermodynamics of the association reaction conductance measurements.
Standard thermodynamic quantities for the association reaction of metal ion (M +2 ) and succinate ions are obtained from the temperature dependence of   , (3), as given in Tables 9,10,11,and 12. e positive entropy values of the associations indicate a change from more order states towards a less order states.is might re�ect the role of solvent in the association process.
e above-mentioned results show that the Δ ∘ term is the most important factor in determining the stability of the association, and the differences in the magnitude of Δ ∘ values re�ected the differences in the attractive forces between opposite charges of the ions of ion-pair.
Many difficulties and uncertainties are associated with these calculations which are derived from the inevitable experimental errors in   values and partly from the calculator's choice of the function which represents the dependence on the temperature.However, the values of Δ ∘ have proved useful in yielding structural information about solute species and solute-solvent interactions.So, such values indicate a spontaneous association of ions (i.e., the yield of ion-pairs increases) despite of that they differ from one equation to the other depending on their mathematical derivations.
From the dependence of the Walden product  0 on the temperature, information can be obtained on ion-solvent interactions.Data from Tables 5-8 show that the Walden product dependence on the temperature is substantially obeyed.For more consistent results, a consideration should be taken for the electrostatic interaction between the �elds of the moving ions and those of the solvent dipoles in the surrounding solvent.e gradual decrease of  0 with temperature has been attributed to a decrease in dielectric constant, causing a disturbance in the hydrodynamic radii of ions followed by a change in their mobility.Generally, it is concluded that either Fuoss-Hsia complete or modi�ed is better than those equations of Pitts.
−3at four different temperatures are given in Tables 1, 2, 3, and 4. ese data were analyzed using the complete and modi�ed forms of both F-H and P equations.For the interpretation of the characteristic parameters of an electrolyte solution from conductance data, a minimisation technique has been used in terms of   , Λ 0 , and .For analysis of each set of data,   , Λ  (  1 2   ), a Fortran computer program has been written.eresults of minimisation technique for the best �t values of the three parameters   , Λ 0 , and  are listed in Tables5, 6, 7, and 8 together with diffusion coefficient ( salt ).Walden product and the corresponding values of the standard deviation  are given by T 6: Best �t results for Cu-succinate.
T 7: Best �t results for Mg-succinate.