Solubility Study and Thermodynamic Analysis of Pimelic acid in water, Ethanol and their Binary mixture

 

Sandip B. Nahire

Department of Chemistry, M.S.G. College, Malegaon, Maharashtra, India.

*Corresponding Author E-mail: nahiresandip@rediffmail.com

 

Abstract:

The focus of this work was on experimental measurements and numerical computations of Pimelic acid solubility in water, ethanol, and their binary combination. At temperatures ranging from (293.15 to 303.15) K, the solubility of Pimelic acid in pure solvents and their binary mixtures was evaluated using the equilibrium measurement method. To evaluate the data quality, the experimental results were correlated to the Apelblat equation. The Apelblat model's solubility correlations were in good accord with experimental data.

 

KEYWORDS: Solubility, Pimelic acid, Apelblat equation, water, ethanol.

 

 


INTRODUCTION:

Knowing the solubility in different solvents is crucial for determining optimal solvents and designing an effective production process.The enhancement of solubility and dissolution rate of poorly water soluble drug by using modified guar gum is studied by vipul v. jambukiya et. al1. The novel methods to enhance solubility of water insoluble drugs was investigated by tawaret. al2. In addition to the general solubility enhancement techniques, microcrystals preparation and characterization of tinidazole for improvement in solubility and dissolution is carried out by reddy et.al3. Asija rajesh4 studied solubility enhancement of nebivolol by solid dispersion technique.

 

Pimelic acid is utilised as a starting material in the production of 1,7-Heptanediol, an essential chemical used in the production of medicines, surfactants, flavours, and cosmetics5. The solubilities of pimelic acid in pure water, methanol, and their binary mixtures over various compositions were determined at various temperatures in these studies. The Apelblat model was used to correlate the experimental solubility data. The solutions' thermodynamic properties (, %ζH, %ζTS) were computed using the van't Hoff equation.

 

Experimental:

Materials and Apparatus:

Pimelic Acid (99%) was obtained from Sigma Aldrich. Ethanol (99.8%) was supplied by Merck. They were utilised without being purified in any way. Throughout all of these investigations, triple distilled water was used. Earlier method of determining solubility has been applied6-10.

 

In this study, an excess of Pimelic acid was added to binary solvent mixtures made by weight (Shimadzu, Auxzzo) in a specifically built 100mL double jacketed flask with an uncertainty of 0.1mg. Water was flowed between the flask's outer and inner sides at a constant temperature.  The temperature of the circulating water was controlled by thermostat to within (±0.1)K. The solution was agitated constantly with a magnetic stirrer for a long period (approximately 1 h) to ensure equilibrium, then left to stand for 1 h. Then, using a pipette that was hotter than the solution, a defined amount of the supernatant liquid was taken from the flask and placed in a weighing bottle. The sample's weight was taken, and it was stored in an oven at 343K until all of the solvent had evaporated. This was confirmed by weighing two or three times until a constant weight was obtained. The solubility has been calculated using weight of solute and weight of solution. Each experimental value of solubility is an average of at least three different measurements. The saturated mole fraction solubility (Xb), initial the mole fraction of ethanol (), and initial the mole fraction of water () were calculated using usual Eq. 1 and 2:

 

                      mb/Mb

Xb = ------------------------------------                                                                                                                              (1)

         ma/Ma+mb/Mb + mc/Mc

                                                                                   (2)

 

Where mb, ma, and mc are the mass of solute, water andethanol respectively, and Mb, Ma, and Mc are the molecular weight of the solute, water, and ethanol respectively.

 

RESULTS AND DISCUSSION:

Solubility of Pimelic Acid (PA):

The values of mole fraction solubility (Xb) of PA in pure water and ethanol within the range of temperature 293.15 K to 313.15 K are presented in Table 1 and depicted graphically in Figure 1. It can be shown that the solubility of PA in pure solvents increases as the temperature rises.In comparison to water, ethanol has a higher solubility.

 

Table 2 summarises the measured mole fraction solubilities (Xb) of PA in water + ethanol, as well as estimated solubilities using the Apelblat correlating model. Figures 2 and 3 shows the relationship between PA solubility and the initial mole fraction of ethanol and temperature, respectively. As a results from Tables 2 and Fig. 2 and 3 that solubility of PA in studied binary system found to be increase with the initial mole fraction of ethanol () and temperature.

 

Table 1: - Experimental Xbvalue of mole fraction solubility of PA in pure water and ethanol at T = (293.15 - 303.15 K).

T/K

Xb

Water

Ethanol

293.15

0.0044

0.1129

296.15

0.0053

0.1236

298.15

0.0058

0.1349

300.15

0.0066

0.1390

303.15

0.0077

0.1503

 

 

Fig.1. Mole fraction solubility (Xb) variation with temperatures for water (), methanol (),

 

Solubility Correlation:

The modified semi-empirical Apelblat model7 with three parameters (Eq. 3) is an appropriate method for correlating solubility data with temperature. The equation, which is based on solid-liquid equilibrium theory, yields excellent agreement between experimental and calculated solubility values.

 

                                                                                                                                       (3)

 

A, B, and C are the model parameters and T is temperature in Kelvin. A andB reflects non-idealities of solutions, C represents temperature influence on fusion enthalpy11,12. A, B, and C parameters are obtained from non-linear least square fitting.Eq.3 was used to calculate the solute's solubility in water, ethanol, and their binary mixtures. Table 2 shows the experimental mole fraction solubility, which was correlated with equation 3, and Table 3 shows the A, B, and C parameter values.

 

Thermodynamic parameters of dissolution

Van't Hoff analysis is used to investigate the thermodynamic dissolution of pimelic acid in pure and binary solvent mixtures at temperatures ranging from 293.15 to 313.15 K. The van't Hoff equation13, 15 is used to compute the standard molar enthalpy change of solution, standard molar entropy change, and standard molar Gibbs energy change  for the solution process (Table 4).

=                                                                                                                            (4)

 

                                                                                                                                            (5)

 

                                                                                                                                                              (6)                      

 

In Eq. 4, Tmean is the mean harmonic temperature i.e. Tmean= 303.03 K. In addition, the relative contribution of enthalpy (%ζH) and entropy (%ζTS) were calculated by using following Eq. 7. The effects of enthalpy and entropy on Gibbs energy in the solution process could be evaluated using %ζH and %ζTS.

 

%             and                                                            (7)

The thermodynamic parameters (, %ζH, and % ζTS) in pure and binary solvents mixtures are given in Table 4.

 

Table 2 Experimental (Xb) and calculated mole fraction solubility of PA in various initial mole fraction  of ethanol at T= 293.15 to 313.15 K

T/K

T/K

293.15

0.0000

0.0044

0.0043

 

 

 

 

296.15

0.0053

0.0053

0.0416

0.0071

0.0073

0.0085

0.0084

0.0891

0.0136

0.0133

0.0158

0.0174

0.1435

0.0209

0.0234

0.0366

0.0335

0.2068

0.0344

0.0263

0.0425

0.0407

0.2811

0.0645

0.0643

0.0729

0.0727

0.3697

0.0742

0.0771

0.0927

0.0889

0.4771

0.0965

0.0968

0.1058

0.1064

0.6100

0.1090

0.1094

0.1179

0.1198

0.7787

0.1140

0.1144

0.1240

0.1243

1.0000

0.1129

0.1137

0.1236

0.1242

298.15

0.0000

0.0058

0.0059

 

 

 

300.15

 

 

 

0.0066

0.0067

0.0416

0.0096

0.0095

0.0116

0.0111

0.0891

0.0215

0.0208

0.0255

0.0246

0.1435

0.0453

0.0414

0.0527

0.0500

0.2068

0.0558

0.0522

0.0703

0.0649

0.2811

0.0790

0.0790

0.0839

0.0860

0.3697

0.0989

0.0972

0.1079

0.1058

0.4771

0.1148

0.1134

0.1209

0.1207

0.6100

0.1294

0.1271

0.1374

0.1347

0.7787

0.1333

0.1312

0.1377

0.1384

1.0000

0.1349

0.1315

0.1503

0.1390

303.15

0.0000

0.0077

0.0078

 

 

 

 

 

 

0.0416

0.0147

0.0144

0.0891

0.0345

0.0316

0.1435

0.0614

0.0636

0.2068

0.0816

0.0846

0.2811

0.0992

0.0976

0.3697

0.1174

0.1192

0.4771

0.1326

0.1326

0.6100

0.1455

0.1466

0.7787

0.1494

0.1498

1.0000

0.1503

0.1508

 

Fig. 2 Mole fraction solubility (Xb) variation with Initial mole fraction ( of ethanol, at various temperatures (T=293.15 K, ■T=296.15 K; ▲T=298.15 K; ×T=300.15 K; ×T=303.15K..

 

 

Fig. 3 Mole fraction solubility (Xb) variation with temperature at initial mole fraction ( of methanol ( = wt. fraction 0.0; ■ = 0.1; ▲= 0.2; × = 0.3; × = 0.4; ● = 0.5; + = 0.6; - = 0.7; ▬ = 0.8 and = 0.9; □ =1)

 

The values for PA dissolution in all mixtures are all positive; illustrating that PA dissolution is endothermic process throughout all cases. The value in pure water is 39.0425 KJK-1mol-1and in ethanol is 20.2579KJK-1mol-1. This demonstrates that the dissolution of PA in water needs more energy than the dissolution of PA in ethanol. The dissolution process occurs with an increase in entropy and is non-spontaneous because the value of ΔG0soln and ΔS0soln are positive. Table 4 reveals that for all examined mixtures, the percent enthalpy is greater than the percent TS, implying that enthalpy is the dominant contributing force to the Gibbs free energy for PA dissolution. Overall,PA dissolving is an enthalpy-driven endothermic process in all binary solvent combinations.

 

Table 3 Model parameters and correlation coefficient of the Apelblat equation.

Solvent

Parameters

 

R2

100*RAD

100*RMSD

A

B

C

Ethanol

0.0000

780.3133

-39429.2

-114.644

0.9915

2.3042

0.0262

0.0416

-3493

150098

523.89

0.9938

3.9936

0.1174

0.0891

302.1983

-20176.6

-41.8423

0.9832

5.9826

0.2893

0.1435

2971.62

-139975

-439.716

0.9761

6.8257

0.4462

0.2068

4441.523

-206652

-658.411

0.987

5.3475

0.4489

0.2811

-268.048

8660.254

41.50236

0.9979

0.9577

0.1227

0.3697

500.7225

-25680.5

-73.1748

0.9895

2.2532

0.2684

0.4771

-84.3126

1277.11

13.664

0.9987

0.5293

0.0949

0.6100

57.26061

-4857.15

-7.55277

0.9953

1.0777

0.1705

0.7787

15.87518

-2832.78

-1.47517

0.9983

0.5417

0.0957

1.0000

100.3608

-6688.27

-14.0334

0.9962

0.7063

0.1434

 

Table 4 Thermodynamic parameters relative to solution process of PA atThm= 303.03K

∆H0sol

KJK-1

mol-1

∆G0sol

KJK-1

mol-1

∆S0sol

KJK-1

mol-1

∆S0sol

JK-1

mol-1

T∆S0sol

KJK-1 mol-1

 

ζH%

 

ζTS%

PA + Water+ Ethanol

0.0000

39.0425

12.2990

0.0883

88.2511

26.7435

59.3477

40.6523

0.0416

71.6925

10.4288

0.2022

202.164

61.2636

53.9219

46.0781

0.0891

62.3533

8.7501

0.1769

176.886

53.6032

53.7730

46.2270

0.1435

56.1710

7.2019

0.1616

161.594

48.9692

53.4249

46.5751

0.2068

59.6530

6.6070

0.1750

175.046

53.0459

52.9313

47.0687

0.2811

32.5368

5.8507

0.0881

88.0617

26.6861

54.9396

45.0604

0.3697

29.1896

5.4103

0.0785

78.4695

23.7793

55.1071

44.8929

0.4771

23.7997

5.0921

0.0617

61.7332

18.7076

55.9897

44.0103

0.6100

21.3578

4.8492

0.0545

54.4769

16.5086

56.4031

43.5969

0.7787

19.8359

4.7918

0.0496

49.6441

15.0441

56.8689

43.1311

1.0000

20.2579

4.7822

0.0511

51.0683

15.4757

56.6915

43.3085

 

CONCLUSION:

The solubility of PA in pure liquids was shown to rise as the experimental temperature was raised. Ethanol seems to have a higher solubility than water, according to measurements. The initial mole fraction of ethanol () and temperature enhance PA solubilities in all binary systems investigated. The measured solubilities of PA are well correlated with temperature by Apelblat model. PA dissolving in all binary solvent mixtures is an enthalpy driven endothermic process, according to a thermodynamic analysis based on observed solubilities. The results of ζH suggest that enthalpy is the main contributing force to the Gibbs free energy for the dissolution of PA.

 

ACKNOWLEDGEMENTS:

The author is thankful to Principal of MSG Arts, Science and Commerce College Malegaon for providing laboratory facilities. The authors also express their sincere thanks to Dr ApoorvaHiray (Co-ordinator M.G. Vidyamandir Malegaon).

 

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Received on 16.05.2022            Modified on 22.07.2022

Accepted on 26.09.2022           ©A&V Publications All right reserved

Research J. Science and Tech. 2022; 14(4):233-237.

DOI: 10.52711/2349-2988.2022.00038