Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K CHAPTER - I Apparent Molar olumes and iscosity B-Coefficients of Glycine in Aqueous Silver Sulphate Solutions at T = (98.15, 38.15, 318.15) K 6.1. Introduction Amino acids and peptides are the fundamental structural units of proteins and thermodynamic properties of these model compounds in aqueous medium provide information about solute-solvent and solute-solute interactions that help us to understand several biochemical processes such as protein hydration, denaturation and aggregation etc 1-4. It has been found that salt solutions have large effects on the structure and the properties of proteins including their solubility, denaturation, dissociation into subunits, and the activity of enzymes. 5,6 Proteins are complex molecules, and their behavior in solution is governed by a combination of many specific interactions. One approach that reduces the degree of complexity and requires less complex measurement techniques is to study the interaction in systems containing smaller bio-molecules, such as amino acids and peptides. Many cations and anions of neutral salts affect the properties of proteins such as their solubility, stability and biological activity in widely different manner 5,6. It is well established that various co-solutes, co-solvents such as guanidine hydrochloride, 7,8 potassium thiocyanate, 9 potassium chloride, 1 tetraalkylammonium salts, 11,1 can act as effective probes of their conformation in solutions 13-16. Thermodynamic properties of amino acids in aqueous electrolyte solution thus provide valuable information about solute-solvent and solute-solute interactions. Hence there has been a number of works 7-1,3 revealing the effect of electrolytic solutions on amino acids. But to the best of our knowledge such studies in aqueous AgSO4 solutions are rare in the literature. Hence in this paper, an attempt has been made to unravel the various interactions in the ternary systems of glycine + AgSO4 + water at 98.15, 38.15, and 318.15 K.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 186 6.. Experimental Chemicals Glycine (Analar, BDH, purity>99%), and silver sulphate (AgSO4) were used for the present study. Glycine was purified by re-crystallizing from methanol-water mixture and dried at 373.15 K for 1 h in an infrared drier and then in vacuo over PO5 at room temperature. AgSO4 (Loba Chemie, India, purity > 98.5%) was recrystallized from concentrated sulfuric acid, cooled, then diluted with de-ionized water and the precipitate was filtered, washed and dried at 1 o C. De-ionized, doubly distilled, degassed water with a specific conductance < 6 1 S.cm 1 was used for the preparation of different aqueous AgSO4 solutions. The physical properties of different aqueous AgSO4 solutions are listed in Table 1. Measurement Stock solutions of glycine in different aqueous AgSO4 solutions were prepared by mass and the working solutions were prepared by mass dilution. The conversion of molality into molarity was accomplished using the experimental density values. The uncertainty of molarity of the glycine solutions is evaluated to be ±.1 mol. dm -3. The densities (ρ) were measured with an Ostwald-Sprengel type pycnometer having a bulb volume of about 5 cm 3 and an internal diameter of about.1 cm. The pycnometer was calibrated at the experimental temperatures with doubly distilled water and purified methanol. The pycnometer with experimental liquid was equilibrated in a glass-walled thermostated water bath maintained at ±.1 K of the desired temperature. The pycnometer was then removed from the thermostat bath, properly dried and weighed. The mass measurements were done on a digital electronic analytical balance (Mettler, AG 85, Switzerland) with a precision of ±.1 mg. Adequate precautions were taken to avoid evaporation loses during the actual measurements. An average of triplicate measurement was taken into account. The precision of density measurements was evaluated to be within ± 3 1-4 g.cm -3. The viscosity (η) was measured by means of suspended Ubbelohde type viscometer, calibrated at the experimental temperatures with doubly distilled water
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 187 and purified methanol. A thoroughly cleaned and perfectly dried viscometer filled with experimental solution was placed vertically in a glass-walled thermostat maintained to ±.1 K. After attainment of thermal equilibrium, efflux times of flow were recorded with a stop watch correct to ±.1 s. At least three repetition of each data reproducible to ±.1s were taken to average the flow time. The uncertainty in viscosity measurements is within ±.3 mpa.s. Details of the methods and techniques of the measurements have been described elsewhere. 17-19 6.3. Results and discussion Experimental values of molarity (c), densities (ρ), viscosities (η), and derived parameters at (98.15, 38.15, 318.15) K are listed in Table. Apparent molar volumes The apparent molar volumes ( φ ) were determined from the solution densities using the following equation: 1 φ = M ρ ( ρ ρ ) cρ (1) where M is the molar mass of the solute, c is the molarity of the glycine in AgSO4 + water mixtures, ρ and ρ are the densities of the solvent and the solution respectively. As the plots of φ values against square root of molar concentrations ( c) were linear, φ values were fitted to the Massion equation: φ = φ + S * c () where φ is the partial molar volume at infinite dilution and * Sis the experimental slope. The φ values have been determined by fitting the dilute data (c <.1) to Eq. () using a weighted least square fit. alues of φ and S * along with the corresponding standard deviation (σ) are listed in Table 3. The estimated uncertainties in φ are equal to standard deviation (σ), the root mean square of the deviation between the experimental and calculated φ for each data point. The φ and * Svalues for glycine in pure water were obtained from the literature 1, and were used in subsequent calculations.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 188 Table 3 shows that φ values are positive and increase with a rise in the molarity of AgSO4 in the mixture, but decrease as the temperature of the respective mixture increases. This indicates the presence of strong solute-solvent interactions and these interactions are further strengthened at higher molarity of AgSO4 in the solutions but decreases at higher temperatures probably due to more thermal agitations at higher temperatures. These trends in φ values are easy to follow from the trends in φ values as listed in Table showing that the φ values increase with a rise in both the concentrations of glycine and AgSO4 in the ternary solutions but decrease as the temperature of these solutions decrease. Interestinglyφ values decreased on the introduction of AgSO4 in the aqueous solutions (from to.5 mol.dm -3 of AgSO4 solutions), but after thatφ values increased monotonically with further addition of AgSO4 in the aqueous solutions. This is probably due to the perturbation of the arrangement of water molecules in bulk water by the electric field of the constituent ions. The parameter * Sis the volumetric virial coefficient characterizing the pairwise interaction of solvated species in solution, 3, 4 the sign of by the interaction between the solute species. In the present study, * S is determined * S is found to be positive for all the glycine solutions. For zwiter-ionic amino acids the positive value of S suggest that the pairwise interaction is dominated by the interaction of the * charged functional groups. A perusal of Table 3 shows that * Svalues are positive and increase as the temperature increases but decrease as the amount of AgSO4 in the aqueous solutions increases. The temperature dependence of partial molar volumes ( φ ) was expressed by the following relation, φ = a + a T + a T 1 (3) The values of the coefficients a, a1, a of the above equation for different glycine solutions are listed in Table 4.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 189 The partial molar expansibilities φ E can be obtained by the following equation, 5 The ( φ ) φ = δ δt = a + a T (4) E P 1 φ E values for different ternary solutions at different temperatures given in Table 5 show thatφ values decrease as the temperature and concentrations of E AgSO4 in the aqueous solutions increases. According to Hepler, 6 the sign of ( δ E δ T ) φ is a better criterion in characterizing the long-range structure making or breaking ability of the solutes in solution. The general thermodynamic expression is as follows: If the sign of ( δ E δ T ) ( φe ) ( φ ) P δ δ T = δ δ T = a (5) P P P φ is positive or small negative, the solute is a structuremaker; otherwise it is a structure breaker. It is seen from Table 5, glycine predominantly acts as a structure maker and its structure-making ability generally increases with an increase in both the temperature and the amount of AgSO4 in the aqueous solutions increases. Hydration number The number of water molecules ( N W) hydrated to glycine at 98.15 K, can be estimated from the electrostriction partial molar volume relation: N W φ ( elect ) = ( ) φe φb φ (elect) using the (6) where φe is the molar volume of the electrostricted water and φbis the molar volume of bulk water. The value of ( φ e φ b) is calculated to be 3.3 cm 3.mol -1 at 98.15 K. The φ (elect) values can be calculated from the intrinsic partial molar
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 19 volumes of the amino acids, φ (int) 7, 8 and experimentally determined φ values, as follows: φ (Glycine) = φ (int) + φ (elect) (7) The obtained N W values for glycine at 98.15 K are.7, 4.1, 3.5 and.1 in pure aqueous solution,.5 mol.dm -3 aqueous AgSO4 solution,.1 mol.dm -3 aqueous AgSO4 solution,.15 mol.dm -3 aqueous AgSO4 solution and. mol.dm -3 aqueous AgSO4 solution, respectively. This means that N W varies with the solvent composition showing a tendency to decrease with an increase in the concentration of AgSO4 in the aqueous solutions increases, although there was an initial increase of NWfor.5 mol.dm -3 aqueous AgSO4 solutions on shifting from pure aqueous solutions. This increase in N W indicates that the increase in the interaction of hydrophobic group of glycine with those of the salt does not reduce the electrostriction of water molecules initially, but leads to an increase in the hydration number NWbut thereafter NWgradually decreases as the molarity of AgSO4 in the ternary solutions increase indicating enhanced electrostriction of water molecules due to greater ionic concentrations. Standard transfer volume Standard transfer volume solutions is defined by: The value of φ of glycine from pure water to aqueous of AgSO4 φ = φ (Glycine + Ag SO + Water) φ (Water) (8) 4 φ, by definition, is free from solute-solute interactions and therefore provides information regarding solute-cosolute interaction 8. Table 6 shows that φ values are generally negative and increases monotonically with the concentration of AgSO4 in the solutions under investigation. In general, the interactions between glycine and AgSO4 can be summarized as: (i) ion-ion interaction between + Ag and COO group, (ii) ion-ion interaction between - SO4 + NH3groups; (iii) ion-nonpolar group interactions. According to the cosphere overlap model of Gurney 9 whereas interactions of type (i) and (ii) lead to positive and
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 191 φ values, type (iii) would lead to negative φ values. Thus, the negative values for glycine indicate that ion-hydrophobic and hydrophobic-hydrophobic interactions predominate over the ion-hydrophilic and hydrophilic- hydrophilic interactions. The φ φ values for glycine at different temperatures have been depicted as a function of the molarity AgSO4 in the ternary solutions in Figure 1. However, since - SO4 ion remains comparatively more hydrated than + Ag ion in aqueous solutions, they can affect the partial molar volume of glycine to varying degrees. Anyway, the observed trend can also be explained with the following equation: 3, 1 φ = φ + φ φ W oid S where φ W is the ander Waals volume, φ oid is the volume associated with voids or empty space, and φsthe shrinkage volume due to electrostriction. Assuming the φw and φoidhave the same magnitudes in water and in aqueous AgSO4 solutions for class of solutes, 3 the observed negative (9) φ values for glycine indicate an increase in shrinkage volume in presence of AgSO4 and this trend increased with increased temperatures. iscosity B-coefficient The viscosity data of the experimental solutions of glycine have been analyzed using the Jones Dole equation, 31 ( η η ) c = ( ηr ) c = A + B c (1) where η r =η η, and η are the viscosities of the solvent and solution, respectively, and c is the molar concentration of a solution. A and B are the Jones- Dole constants estimated by a least-squares method and reported in Table 7. The viscosity B-coefficient 1 reflects the effects of solute solvent interactions on the solution viscosity. The viscosity B-coefficient is a valuable tool to provide information concerning the solvation of solutes and their effects on the structure of the solvent in the local vicinity of the solute molecules. Table 7 shows that the
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 19 values of the viscosity B-coefficient for glycine in the studied solvent systems are positive, thereby suggesting the presence of strong solute solvent interactions which increase as the molarity of AgSO4 in the solutions increase but decrease as the temperature of the solutions increase. The values of the A-coefficient are indicative of solute-solute interactions and in the present study they are in line with the viscosity B-coefficients for glycine in different aqueous AgSO4 solutions at the experimental temperatures. iscosity B-coefficients of transfer ( B) from water to different aqueous AgSO4 solutions have been determined using the relation: B = B ( 4 Aqueous AgSO solution) B (Water) The B values shown in Table 8 as well as depicted in Figure as a function of the molarity AgSO4 in the ternary solutions at different temperatures are in line with the results obtained from φ values discussed above. (11) The viscosity data have also been analyzed on the basis of transition state theory for the relative viscosity of the solutions as suggested by Feakins et al. 33 using the relation, where φ1 and µ = µ + RT (1 B + φ φ ) / φ (1) 1 1 1 φare the partial molar volumes of the solvent and solute, respectively. The contribution per mole of the solute to the free energy of activation of viscous flow, µ of the solutions was determined from the above relation. The free energy of activation of viscous flow for the solvent mixture, µ, is given by the relation: 33, 34 µ 1 = G1 = RT ln( ηφ1 hn A ) (13) where NA is the Avogadro s number and the other symbols have their usual 1 significance. The values of the parameters µ and µ are reported in Table 9 1 which shows that compositions. µ 1 is almost constant at all temperatures and solvent
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 193 It means that µ is dependent mainly on the values of viscosity B-coefficients and ( φ φ ) terms. But µ values were found to be positive at all the experimental,,1 temperatures and this suggests that the process of viscous flow becomes difficult as the temperature and molarity of AgSO4 in solutions increases. Hence the formation of the transition state becomes less favourable 33. According to Feakins et al, 33 µ > µ for solutes having positive viscosity B-coefficients indicates 1 stronger solute-solvent interactions, suggesting the formation of a transition state which is accompanied by the rupture and distortion of the intermolecular forces in the solvent structure. 33 The larger is the value of µ, the greater is the structure- making tendency of the solute, and the positive values of µ for glycine in the different aqueous AgSO4 solutions suggests glycine to be a net structure promoter in these ternary mixtures. The entropy of activation for electrolytic solutions has been calculated using the relation: 33 S = d( µ ) dt (14) where S has been obtained from the negative slope of the plots of µ against Tby using a least squares treatment. The activation enthalpy ( H ) has been calculated using the relation: 33 H = µ + T S (15) The value of S and H are listed in Table 9 and they were found to be positive for all the experimental solutions at all the temperatures suggesting that the transition state is associated with bond breaking and decrease in order. Although a detailed mechanism for this cannot be easily advanced, it may be suggested that the slip-plane is in the disordered state 33, 34.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 194 6.4. Conclusion In summary, φ and viscosity B-coefficient values for glycine indicate the presence of strong solute-solvent interactions, which further strengthened at higher molarities of AgSO4 in the ternary solutions but decrease at higher temperatures. Also the trend in ( δφ E δ T ) P, NWand µ values for glycine in the different aqueous AgSO4 solutions suggest glycine to be a net structure promoter in these ternary mixtures.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 195 References 1. G. R. Hedwig, and H. Hoiland, J. Chem. Thermody. 1993, 5, 349.. G. R. Hedwig, J. Chem. Soc. Faraday Trans. 1993, 761. 3. R. Bhat, and J. C. Ahlluwalia, J. Phys. Chem. 1985, 89, 199. 4. T.. Chalikan, A. P. Sarvazyan, and K. J. Breslauer, J. Phys. Chem. 1993, 97, 1317. 5. P. H. on Hippel, and T. Schleich, Acc. Chem. Res. 1969,, 57. 6. W. P. Jencks, Catalysis in Chemistry and Enzymology, McGraw Hill, New York, 1969, p. 351. 7. K. Beliali, and E. Agranci, J. Solution. Chem. 199, 19, 867. 8. Z. Yan, J. Wan, H Hang, and D. Liu, J. Solution. Chem. 1998, 7, 473.. 9. R. K. Wadi, and R. K. Goyal, J. Solution. Chem. 199, 1, 163. 1. X. Wang, L. Xu, R. S. Lin, and D. Z. Sun, Acta. Chem. Sin, 4, 6, 145. 11. T. Banerjee, and N. Kishor, J. Solution. Chem. 5, 35, 137. 1. B. Sinha,. K. Dakua, and M. N. Roy, J. Chem. Eng. Data 7, 5, 1768. 13. T. E. Creighton, Curr. Opin. Struct. Biol. 1991, 1, 5. 14. T. Arakwa, and S. N. Timasheff, Biochemistry. 1984, 3, 591. 15. Jr. Raymond F. Greene, and C. Nick Pace, J. Biol. Chem. 1974, 49, 5388. 16. G. elicelebi, and J. M. Sturtevant, Biochemistry. 1979, 18, 118. 17. M. N. Roy, and D. K. Hazra, J. Chem. Technol. 1994, 1, 93. 18. M. N. Roy, B. Sinha, and. K. Dakua, J. Chem. Eng. Data 6, 51, 59. 19. M. N. Roy, and B. Sinha, J. Mol. Liq. 7, 133, 89.. D. O. Masson, Philos. Mag. 199, 8, 18. 1. F. J. Millero, A. L. Surdo, and C. Shin, J. Phys. Chem. 1978, 8, 784.. T. S. Banipal, and P. Kapoor, J. Indian. Chem. Soc. 1999, 7, 431. 3. J. E. Desnoyers, Pure. Appl. Chem. 198, 54, 1469. 4. T. E. Leslie, and T. H. Lilley, Bioplymers, 1985, 4, 695. 5. B. Sinha, B. K. Sarkar, and M. N. Roy, J. Chem. Thermody. 8, 4, 394. 6. G. Hepler, Can. J. Chem. 1969, 47, 4617. 7. E. Berlin, M. J. Pallansch, J. Phys. Chem. 1968, 7, 1887.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 196 8. F. T. Gucker, W. L. Ford, and C. E. Moser, J. Phys. Chem. 1939, 43, 153. 9. R. W. Gurney, Ionic Processes in Solution, McGraw-Hill, New York (1953) 3. A. K. Mishra, and J. C. Ahluwalia, J. Chem. Soc. Faraday Trans. 1. 1981, 77, 1469. 31. G. Jones, and M. Dole, J. Am. Chem. Soc. 199, 51, 95. 3. T. S. Banipal, A. Bhatia, P. K. Banipal, G. Singh, and D. Kaur, J. Indian. Chem. Soc. 4, 81, 16. 33. D. Feakins, D. J. Freemantle, K. G. Lawrence, J. Chem. Soc., Faraday Trans.1 1974, 7, 795. 34. S. Glasstone, K. Laidler, and H. Eyring, The Theory of Rate processes, McGraw-Hill, New York (1941)
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 197 Table 1. Densities and viscosities of different aqueous AgSO4 solutions at different temperatures Molarity of AgSO4 in aqueous solution /mol dm.5.1.15. -3 T /K ρ.1 /kg m 98.15 38.15 318.15.999.9956.997 98.15 1.5 38.15.9973 318.15.993 98.15 1.1 38.15.9988 318.15.994 98.15 1.35 38.15 1. 318.15.9965 η /mpa s.751.614.5.817.75.567.84.715.577.81.693.69 Table. Molarities, densities, viscosities, apparent molar volumes and ( ηr ) / temperatures cfor glycine in different aqueous AgSO4 solutions at different c /mol dm ρ.1-3 /kg m /mpa s η 6 φ.1 /m mol 3 ( ηr ) c.5 mol dm of AgSO4 in aqueous solution T = 98.15 K.39.9998.757 41.37.54.3 1.1.759 41.9.6.56 1.8.764 43.18.714
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 198.7 1.1.768 43.9.836.88 1.17.77 44..94.999 1..776 44.6.13 T = 38.15 K.39.9965.65 39.4.1149.319.9967.68 39.76.1.558.9975.635 41.97.14.718.9979.638 4.58.1439.877.9984.64 43.66.153.996.9987.644 43.89.15 T = 318.15 K.38.9918.51 6.99.133.318.99.513 8.5.13.556.993.518 3.4.141.715 9939.51 31.6.14.873.9945.53 3.19.147.99.9948.55 34..1464.1 mol dm of AgSO4 in aqueous solution T = 98.15 K.4 1.13.87 4.59.799.3 1.15.89 4.9.85.56 1..838 43.79.199.7 1.7.845 44.18.199.88 1.3.85 44.71.1449.1 1.35.858 45.15.159 T = 38.15 K.39.9981.737 4.8.16.319.9984.739 41.45.193.558.9991.748 4.83.13.717.9996.753 43.45.144
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 199.877 1..76 44.18.161.997 1.4.765 44.43.17 T = 318.15 K.38.9939.583 38.85.1789.317.9941.586 39.76.18.556.9949.594 41.39.17.715.9954.599 4.4.94.873.9958.63 4.99.11.99.996.65 43.4.11.15 mol dm of AgSO4 in aqueous solution T = 98.15 K.4 1.8.85 46.48.599.3 1.3.85 46.7.63.56 1.36.865 47.6.114.7 1.41.88 47.61.1666.879 1.45.885 47.93.17.999 1.48.898 48.5.1 T = 38.15 K.39.9995.78 43.75.1149.319.9998.734 44.73.146.558 1.4.748 45.73.196.718 1.9.756 45.99.19.876 1.13.764 46.34.39.996 1.16.769 46.9.38 T = 318.15 K.38.9948.599 41.3.48.318.9951.66 41.57.8.555.9958.619 4.63.339.714.996.69 44.4.3349.87.9967.639 44.8.36
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K.991.997.644 45.16.3644. mol dm of AgSO4 in aqueous solution T = 98.15 K.4 1.41.85 5.87.34.3 1.43.89 51.1.54.56 1.48.843 51.5.1119.7 1.5.85 51.76.13.88 1.55.858 51.9.1539.1 1.58.867 5.3.1769 T = 38.15 K.4 1.6.7 49.54.79.319 1.8.75 49.75.99.558 1.14.715 5.39.135.718 1.17.76 5.79.177.877 1.1.731 5.99.189.996 1.4.739 51.1.1 T =318.15K.39.997.633 46.51.499.317.9974.638 46.83.679.556.9979.65 48.78.999.715.9983.663 49.37.33.873.9987.673 49.89.3553.993.999.68 5.8.3769
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 1 Table 3. Partial molar volumes and the experimental slopes of Eq. for glycine in different aqueous AgSO4 solutions with corresponding standard deviations at different temperatures 6 T/K.1 φ /m mol 3.1 * 6 S /(m mol ) 9 1/ Pure aqueous solution 98.15 43.19 a.864 a - 38.15 43.79 b.86 b - 318.15 44.17 b 1.77 b -.5 mol dm of AgSO4 in aqueous solution 98.15 38.3.1.4 38.15 34.5 3.3. 318.15 1. 38.61.91.1 mol dm of AgSO4 in aqueous solution 98.15 4.14 15.5.6 38.15 37.38.69.6 318.15 34.65 8.15.7.15 mol dm of AgSO4 in aqueous solution 98.15 44.9 1..1 38.15 41.34 17.55.1 318.15 36.99 6.7.1. mol dm of AgSO4 in aqueous solution 98.15 49.8 7.13.1 38.15 47.96 1.3. 318.15 4.69 4.56.11 a values taken from Ref 1, b values taken from Ref. σ
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K Table 4. alues of various coefficients of Eq. 3 for glycine in different aqueous AgSO4 solutions Molarity of AgSO4 in aqueous solution /mol dm / m a.1 6 3 mol / m 3 a.1 6 1 mol K -1 / m 3 a.1 6 mol -75.761 a.77 a -.1 a.5-414. 8.431 -.47.1 137.4 -.373.1.15-198.36 1.95 -.4. -1468.1 1.195 -.17 a values calculated using φ values from Ref 1 and Ref. K - Table 5. Limiting partial molar expansibilities for glycine in different aqueous AgSO4 solutions at different temperatures Molarity of AgSO4 in aqueous solution /mol dm φ / m.1 6 E 3 mol K -1 δφe 98.15 K 38.15 K 318.15 K δt / m 3 p mol.71 a.49 a.7 a -..5.45 -.535-1.475 -.94.1.3.43.63..15 -.433 -.513 -.593 -.8. -.58 -.8 -.6 -.34 a values calculated using φ values from Ref 1 and Ref..1 6 K -
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 3 Table 6. Partial molar volumes of transfer from water to different aqueous AgSO4 solutions for glycine at different temperatures. Molarity of AgSO4 in aqueous solution /mol dm.1 6 φ /m mol 3 φ.1 6 /m mol 3 T = 98.15 K 43.19 a.5 38.35-4.865.1 4.136-3.54.15 44.918 1.78. 49.8 6.61 T = 38.15 K 43.79 b.5 34.54-9.66.1 37.379-6.411.15 41.337 -.453. 47.958 4.168 T = 318.15 K 44.17 b.5 1.19 -.951.1 34.654-9.516.15 36.994-7.176. 4.69-1.48 a values taken from Ref 1, b values taken from Ref.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 4 Table 7. alues of iscosity A and B coefficients for glycine in different aqueous AgSO4 solutions at different temperatures Molarity of AgSO4 in aqueous 98.15 A /m 3/ / mol B 38.15 318.15 98.15 /m 3 mol 38.15 318.15 solution /mol dm K K K K K K - - -.134 a.14 a.151 a.5.8.78.113.89.48.19 (±.1) (±.) (±.1) (±.) (±.1) (±.3).1 -.1.38.145.494.41.3 (±.) (±.1) (±.) (±.3) (±.1) (±.1).15 -.98.6.143.945.76.714 (±.3) (±.1) (±.4) (±.1) (±.3) (±.1). -.1 -.5.18.87.81.771 (±.1) (±.) (±.3) (±.1) (±.3) (±.1) a values taken from Ref 3 and standard errors are given in parentheses. Table 8. iscosity B-coefficients of transfer from water to different aqueous AgSO4 solutions for glycine at different temperatures Molarity of AgSO4 in aqueous B /m solution /mol dm 3 mol B /m 3 mol T = 98.15 K.134 a.5.89.155.1.494.36.15.945.811..87.736 T = 38.15 K.14 a.5.48.16.1.413.71
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 5.15.76.6..81.67 T = 318.15 K.151 a.5.19 -.4.1.3.7.15.714.563..771.6 a values taken from Ref 3. Table 9. alues of ( φ φ ),,,,,1 µ 1 µ T S and H for glycine in different aqueous AgSO4 solutions at different temperatures Parameters 98.15 K 38.15 K 318.15 K Pure aqueous solution a ( φ φ ) 1 / m mol 5.3 5.58 5.79 6 3,,1 1 / kj mol µ 9.175 8.944 8.761 / kj mol µ 3.891 3.54 34.5 / kj mol T S -49.43-51.6-5.717 / kj mol H -18.51-18.536-18.51 6 3,,1.5 mol dm of AgSO4 in aqueous solution ( φ φ ) 1 / m mol.1 16.35.86 1 / kj mol µ 8.749 8.536 8.34 / kj mol µ 51.6 45.747 4.396 / kj mol T S 396.987 41.3 43.617 / kj mol H 448.13 456.49 448.13 6 3,,1.1 mol dm of AgSO4 in aqueous solution ( φ φ ) 1 / m mol.5 19.3 16.33
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 6 1 / kj mol µ 8.95 8.957 8.64 / kj mol µ 79.675 69.943 43.35 / kj mol T S 543.9 561.449 579.669 / kj mol H 6.94 631.39 6.94 6 3,,1.15 mol dm of AgSO4 in aqueous solution ( φ φ ) 1 / m mol 6.85 3. 18.69 1 / kj mol µ 9.5 8.916 8.668 / kj mol µ 14.36 119.87 114.471 / kj mol T S 415.77 49..715 443.66 / kj mol H 558.13 549.585 558.13 6 3,,1. mol dm of AgSO4 in aqueous solution ( φ φ ) 1 / m mol 31.77 9.86 4.43 1 / kj mol µ 8.958 8.834 8.83 / kj mol µ 13.917 18.3 14.61 / kj mol T S 13.1 136.449 14.877 / kj mol H 64.938 64.47 64.938 a values calculated using B- values from Ref 3.
Apparent Molar Sulphate Solutions at T = (98.15,.318.15) K 7 Figure 1. x 1 6 /m 3.mol -1 ϕ 8 6 4 - -4-6 -8-1 -1-14 -16-18 - - -4 At T = 98.15 K At T = 38.15 K At T = 318.15 K..5.1.15. Molarity of Ag SO 4 in aqueous solutions/mol.dm -3 Plots of partial molar volumes of transfer ( AgSO4 solutions for glycine at different temperatures. φ ) from water to different aqueous Figure..8.6 Β / m 3.mol -1.4.. At T = 98.15 K At T = 38.15 K At T = 318.15 K..5.1.15. Molarity of Ag SO 4 in aqueous solutions/m 3.dm -3 Plots of viscosity B- coefficients of transfer ( B AgSO4 solutions for glycine at different temperatures. ) from water to different aqueous