Solubility Of Hydrogen Sulfide Research Articles

Experimental determination and thermodynamic modeling of the hydrogen sulfide hydrate solubility in water

The solubility of hydrogen sulfide (H2S) hydrate, which determines the minimum concentration required for hydrate stability, is critical for the production and transportation of natural gas and the safety of H2S emissions. Herein, Raman spectroscopy was used to measure the solubility of H2S hydrate in water at a temperature of 273.15–301.15 K and pressures ranging from the hydrate–liquid–vapor (H–Lw–V) three-phase equilibrium pressure for each temperature to 100 MPa. The results showed that the solubility of H2S hydrate in water increases with temperature under H–Lw–V three-phase equilibrium conditions. Meanwhile, under hydrate–liquid two-phase equilibrium conditions, the solubility increases significantly with temperature at constant pressure but decreases slightly with pressure at constant temperature. The three-phase solubility can be expressed as mH2Smol∙kg-1=exp-6176.6286/T+20.8318, where the temperature is in K, and the two-phase solubility also depends on the pressure in MPa: mH2Smol∙kg-1=exp-21.1-0.0182P-6281.47-4.23P/T. In addition, a thermodynamic model based on the van der Waals-Platteeuw theory was developed to predict the solubility of H2S hydrate in water and the relative deviations of the solubility of H2S hydrate (AADP) demonstrating the model’s capability to accurately predict the H2S hydrate solubility in water.

Solubility modeling of hydrogen sulfide in aqueous sodium salt solutions

Accurate solubility prediction of hydrogen sulfide in aqueous electrolyte solutions is critical for gas exploitation and geological storage. However, there is a lack of electrolyte Equation of State model that can accurately calculate the solubilities of hydrogen sulfide in aqueous electrolyte solutions over wide ranges of temperature, pressure, and salt molality. This work presents a modeling study on the solubilities of hydrogen sulfide in pure water and several aqueous sodium salt solutions. The thermodynamic framework used in this work is an electrolyte version of Cubic-Plus-Association Equation of State. The model’s temperature-dependent ion-gas binary interaction parameters are obtained by regressing the experimental solubilities in the aqueous electrolyte solutions. The modeling results show that the electrolyte Cubic-Plus-Association Equation of State can satisfactorily correlate the solubilities of hydrogen sulfide in aqueous electrolyte solutions over wide ranges of temperature, pressure, and salt molality. For the typical water–sodium chloride–hydrogen sulfide system, the model can satisfactorily correlate the gas solubilities with the mean relative deviation being 6.2%, with the temperature up to 593.95 K, pressure up to 32.30 MPa, and salt molality up to 6.0 mol⋅kg−1 water. Moreover, the salting-out effects and model adaptability are analyzed and discussed.

Intelligent modeling of hydrogen sulfide solubility in various types of single and multicomponent solvents

This study aims to study the solubility of acid gas, i.e., hydrogen sulfide (H2S) in different solvents. Three intelligent approaches, including Multilayer Perceptron (MLP), Gaussian Process Regression (GPR) and Radial Basis Function (RBF) were used to construct reliable models based on an extensive databank comprising 5148 measured samples from 54 published sources. The analyzed data cover 95 single and multicomponent solvents such as amines, ionic liquids, electrolytes, organics, etc., in broad pressure and temperature ranges. The proposed models require just three simple input variables, i.e., pressure, temperature and the equivalent molecular weight of solvent to determine the solubility. A competitive examination of the novel models implied that the GPR-based one gives the most appropriate estimations with excellent AARE, R2 and RRMSE values of 4.73%, 99.75% and 4.83%, respectively for the tested data. The mentioned intelligent model also performed well in describing the physical behaviors of H2S solubility at various operating conditions. Furthermore, analyzing the William's plot for the GPR-based model affirmed the high reliability of the analyzed databank, as the outlying data points comprise just 2.04% of entire data. In contrast to the literature models, the newly presented approaches proved to be applicable for different types of single and multicomponent H2S absorbers with AAREs less than 7%. Eventually, a sensitivity analysis based on the GPR model reflected the fact that the solvent equivalent molecular weight is the most influential factor in controlling H2S solubility.

Density, Viscosity, and Hydrogen Sulfide Solubility of the Triethylamine Hydrochloride Ferric Chloride Ionic Liquid

The density, viscosity, and hydrogen sulfide solubility of the triethylamine hydrochloride ferric chloride ionic liquid (rFeCl3/Et3NHCl) were measured at temperatures of 303.15 to 348.15 K, pressures up to 200 kPa, and iron–amine ratios (r, molar ratio of anhydrous FeCl3 to Et3NHCl) of 0.4 to 1.0 mol·mol–1. Density and viscosity data were respectively fitted with empirical correlations for temperature. The H2S solubility in rFeCl3/Et3NHCl was measured by the isochoric pressure drop method. The absorption of H2S in FeCl3/Et3NHCl contains the physical process and chemical process. The decrease in temperature and iron–amine ratio and the increase in pressure are beneficial to improve the total solubility of H2S. Using the reaction equilibrium thermodynamic model (RETM) to correlate the solubility data, the chemical reaction equilibrium constant and Henry’s constant were obtained. Affected by the molecular molar volume and acidity, Henry’s constant first decreases and then increases with the increase in iron–amine ratio and has a minimum value at 0.6 molar ratio. The reaction equilibrium constant decreases with the rise of iron–amine ratio and the reduction of temperature. The total solubility at low pressure is dominated by chemical absorption. As the pressure increases, the proportion of physical absorption increases.

Measurement and model of density, viscosity, and hydrogen sulfide solubility in ferric chloride/trioctylmethylammonium chloride ionic liquid

The density and viscosity of ferric chloride/trioctylmethylammonium chloride ionic liquid (rFeCl3/[A336]Cl) with different molar ratios (r = 0.1–0.8) of FeCl3 to [A336]Cl were measured at temperatures from 313.15 to 358.15 K and atmospheric pressure. The density and viscosity data were fitted by the relevant temperature variation equations, respectively. The variation of density and viscosity with temperature and r was obtained. The solubility of rFeCl3/[A336]Cl to H2S was measured at temperatures from 318.15 to 348.15 K and pressures from 0 to 150 kPa. The effects of temperature, pressure, and r on the solubility of H2S were discussed. The reaction equilibrium thermodynamic model (RETM) was used to fit the H2S solubility data, and the average relative error was less than 1.3%, indicating that the model can relate the solubility data well. And Henry's constant and chemical reaction equilibrium constant were obtained by the RETM fitting. The relationships of Henry's constant and chemical reaction equilibrium constant with temperature and r were analyzed.

Investigation of H2S Solubility in Aqueous N- Methyldiethanolamine + Amine Functionalized UiO-66 as a nano solvent

In this paper, the experimental solubility of hydrogen sulfide in aqueous N- Methyldiethanolamine + Amine Functionalized UiO-66 (UiO-66-NH2) was studied. UiO-66-NH2 was produced using solvothermal process, and its physicochemical properties were investigated by different techniques including XRD, TGA, TEM, BET, and FTIR to realize its crystalline structure, morphology, thermal stability, and porous structure. The Zeta potential of the solution was turned out to be about 26.6 mV (millivolt), meaning that UiO-66-NH2 particles are moderately stable in aqueous 40 wt.% MDEA. The solubility of hydrogen sulfide has been carried out using the isochoric saturation / or static method in two concentration grades of 0.1 and 0.5 wt.% of UiO-66-NH2 in the aqueous solution of 40 wt.% MDEA known as nanofluid. Experimental measurements were carried out at temperatures of 303.15 through 333.15 K, and pressures up 1100 kPa. Results showed that the addition of UiO-66-NH2 nanoparticles to the MDEA solution altered the results less than 3% , while the mean value of uncertainty reported in this work is about 4% , meaning that the addition of nanoparticles do not have remarkable effect on H2S solubility. In contrast, it causes an increased capacity of CO2 absorption of that solution up to 10%.

A modeling approach for estimating hydrogen sulfide solubility in fifteen different imidazole-based ionic liquids

Absorption has always been an attractive process for removing hydrogen sulfide (H2S). Posing unique properties and promising removal capacity, ionic liquids (ILs) are potential media for H2S capture. Engineering design of such absorption process needs accurate measurements or reliable estimation of the H2S solubility in ILs. Since experimental measurements are time-consuming and expensive, this study utilizes machine learning methods to monitor H2S solubility in fifteen various ILs accurately. Six robust machine learning methods, including adaptive neuro-fuzzy inference system, least-squares support vector machine (LS-SVM), radial basis function, cascade, multilayer perceptron, and generalized regression neural networks, are implemented/compared. A vast experimental databank comprising 792 datasets was utilized. Temperature, pressure, acentric factor, critical pressure, and critical temperature of investigated ILs are the affecting parameters of our models. Sensitivity and statistical error analysis were utilized to assess the performance and accuracy of the proposed models. The calculated solubility data and the derived models were validated using seven statistical criteria. The obtained results showed that the LS-SVM accurately predicts H2S solubility in ILs and possesses R2, RMSE, MSE, RRSE, RAE, MAE, and AARD of 0.99798, 0.01079, 0.00012, 6.35%, 4.35%, 0.0060, and 4.03, respectively. It was found that the H2S solubility adversely relates to the temperature and directly depends on the pressure. Furthermore, the combination of OMIM+ and Tf2N-, i.e., [OMIM][Tf2N] ionic liquid, is the best choice for H2S capture among the investigated absorbents. The H2S solubility in this ionic liquid can reach more than 0.8 in terms of mole fraction.

Anomalously high solubility behavior of methanethiol in alkylimidazolium–based ionic liquids

In this work, the absorption capacity of four 1-butyl-3-methylimidazolium ([C4mim]+) ionic liquids containing tetrafluoroborate ([BF4]–), hexafluorophosphate ([PF6]–), trifluoromethanesulfonate ([OTf]–), and bis(trifluoromethyl)sulfonylimide ([Tf2N]–) anions for methanethiol has been experimentally and theoretically studied. The experimental measurements were conducted below 100 kPa and temperatures ranging from (303.15 to 343.15) K. Henry’s law constants, as well as the thermodynamic functions for dissolution of methanethiol in the ionic liquids were evaluated using the experimental solubility data and compared with the corresponding data for the solubility of hydrogen sulfide reported in the literature. The solubility of CH3SH was found to be unexpectedly higher (1.3 to 2.9 times) than that of H2S in the ionic liquids studied in this work. The comparison of Henry’s constants showed that the solubility of CH3SH in the ionic liquids follows the order: [C4mim][Tf2N] > [C4mim][PF6] ≈ [C4mim][BF4] > [C4mim][OTf]. The measured data for the solubility of CH3SH in the ionic liquids were correlated using both the γ – φ approach, based on the Pitzer’s activity coefficient model, and the φ – φ approach, on the basis of the generalized Redlich-Kwong cubic equation of state (GRK EoS). Surprisingly, the GRK EoS indicated a better correlative accuracy compared to the Pitzer’s model for the four CH3SH + IL mixtures studied in this work. Quantum chemical density functional theory (DFT) as well as atoms-in-molecules (AIM) calculations, based on M06-2X level of theory, using the 6–311++G(2d,2p) basis set, was employed to explore the irregularly high solubility behavior of CH3SH compared to H2S in the ionic liquids studied in this work. According to DFT calculations CH3SH establishes a stronger interaction with the ionic liquids compared to H2S. In addition, the interaction of the cation with the anions diminishes in the presence of CH3SH compared with H2S, which results in greater void volume available to CH3SH guest molecules compared to H2S.

Applied Artificial Neural Network for Hydrogen Sulfide Solubility in Natural Gas Purification

Solubility of hydrogen sulfide (H2S) in 46 single and blended physical absorbents, amines, ionic liquids, and hybrid absorbents of amines + ionic liquids and amines + physical absorbents was successfully predicted based on artificial neural networks (ANNs). Three neural network algorithms of Levenberg–Marquardt (LM), Bayesian regularization (BR), and scaled conjugate gradient (SCG) were applied for architecting the ANN models. The results showed that both the number of hidden neurons and the prediction algorithm affected the prediction of H2S solubility. Based on the mean square error (MSE) and determination coefficient (R2), the most attractive model was the LM-ANN model with 17 hidden neurons. As a result, very satisfactory prediction performance (for the testing data set) with an MSE of 0.0014 and an R2 of 0.9817 was obtained from the developed LM-ANN model. Additionally, a parity chart confirmed that the predicted solubility of H2S well aligned with the experimental data. To effectively absorb H2S and maintain high solubility of H2S, the absorbent should be well complied with the operating pressure. For a low-pressure range of less than 100 kPa, amines are very attractive. As the pressure elevated to 100–1000 kPa, amines and hybrid amine + physical absorbents are suggested. Lastly, at a high pressure over 1000 kPa, physical absorbents and ionic liquids are recommended.

Measuring and Modeling the Solubility of Hydrogen Sulfide in rFeCl3/[bmim]Cl

The solubility of hydrogen sulfide in different mole ratios of ferric chloride and 1-butyl-3-methylimidazolium chloride ionic liquid (rFeCl3/[bmim]Cl, r = 0.6, 0.8, 1.0, 1.2, 1.4) at temperatures of 303.15 to 348.15 K and pressures of 100 to 1000 kPa was determined. The total solubility increased with the increase of pressure and the decrease of temperature. The solubility data were fitted using the reaction equilibrium thermodynamic model (RETM). The mean relative error between the predicted value and the measured value was less than 4%. Henry’s coefficient and the equilibrium constant of chemical reaction at each temperature were calculated. Henry’s coefficient first decreased and then increased with the increase of mole ratio, and increased with the increase of temperature. The equilibrium constant of the chemical reaction followed the same law as Henry’s coefficient. The chemical solubility was related to both Henry’s coefficient and the chemical equilibrium constant. H2S had the highest chemical solubility in FeCl3/[bmim]Cl at a mole ratio of 0.6 and a temperature of 333.15 K. The chemical solubility increased with the increase of pressure.

A simple model for estimating hydrogen sulfide solubility in aqueous alkanolamines in the high pressure-high gas loading region

Hydrogen sulfide is essentially removed from the raw natural gas to meet the process, health, safety and environmental standards. Alkanolamine based absorption process remains the prevalent technique for hydrogen sulfide removal due to ease of operation and economic considerations. The design of such gas separation systems is a critical factor in meeting the stringent process requirements and optimizing operations. To achieve precise design, determination of vapor–liqid equilibrium for the system is indispensable while maintaining efficacy and simplicity. This study presents a simple model for estimating hydrogen sulfide solubility in aqueous alkanolamines and their blends in the high pressure-high gas loading region. The model equation is developed by considering and combining amine protonation and bi-sulfide formation reactions, assuming ideal liquid properties. Satisfactory correlated values of hydrogen sulfide loadings (0.21–3.15 mol gas/mole solvent) are obtained over a wide range of temperature (298.15–393.15 K), pressure (60–7027 kPa) and alkanolamine concentration (1.12–14.27 molal). Parameters are given for the hydrogen sulfide solubility in aqueous solutions of monoethanolamine, diethanolamine, N-methyldiethanolamine, 2-amino-2-methyl-1-propanol, piperazine, diglycolamine, di-isopropylamine, 1-amino-2-propanol and their selected blends. The model shall be useful for the design of alkanolamine based natural gas sweetening systems, operating at high pressure and high hydrogen sulfide gas loadings.

Thermodynamic and GMDH Modeling of CO2 and H2S Solubility in Aqueous Sulfolane Solution

The solubility of hydrogen sulfide (H2S) and carbon dioxide (CO2) in mixed solvents were modeled using two approaches. The Gibbs excess energy of mixed solvents such as modified Pitzer as thermodynamic approach and GMDH as an artificial intelligence approaches which both have been adopted to analyze the reported experimental data in literature. The precision of the modified Pitzer and GMDH models are compared with each other and also with experimental data. The obtained results show that the modified Pitzer and GMDH have acceptable agreement with experimental reported data and also GMDH could be an acceptable alternative model for the modified Pitzer one.

On the evaluation of solubility of hydrogen sulfide in ionic liquids using advanced committee machine intelligent systems

Ionic Liquids (ILs) are increasingly emerging as new innovating green solvents with great importance from academic, industrial, and environmental perspectives. This surge of interest in considering ILs in various applications is owed to their attractive properties. Involvements in the gas sweetening and the reduction of the amounts of sour and acid gasses are among the most promising applications of ILs. In this study, new advanced committee machine intelligent systems (CMIS) were introduced for predicting the solubility of hydrogen sulfide (H2S) in various ILs. The implemented CMIS models were gained by linking robust data-driven techniques, namely multilayer perceptron (MLP) and cascaded forward neural network (CFNN) beneath rigorous schemes using group method of data handling (GMDH) and genetic programming (GP). The proposed paradigms were developed using an extensive database encompassing 1243 measurements of H2S solubility in 33 ILs. The performed comprehensive error investigation revealed that the newly implemented paradigms yielded very satisfactory prediction performance. Besides, it was found that CMIS-GP provided more accurate estimations of H2S solubility in ILs compared with both the other intelligent models and the best-prior paradigms. In this regard, the developed CMIS-GP exhibited overall average absolute relative deviation (AARD) and coefficient of determination (R2) values of 2.3767% and 0.9990, respectively. Lastly, the trend analyses demonstrated that the tendencies of CMIS-GP predictions were in excellent accordance with the real variations of H2S solubility in ILs with respect to pressure and temperature.

Solubility of H2S in ammonium-based ionic liquids

This work is inserted in a research program that consists mainly in the experimental and theoretical study of gas/liquid solubility in ionic liquids (ILs). In this study the experimental data of hydrogen sulfide solubility in ammonium-based ionic liquids, namely 2-hydroxyethylammonium acetate [2-HEA][Ace], bis(2-hydroxyethyl)ammonium acetate [B-2-HEA][Ace] and 2-hydroxyethyldiethylammonium hydrogen diacetate [2-HEDEA][H(Ace)2], were determined using a volumetric method in the 298 K to 318 K temperature range and at atmospheric pressure. The ionic liquids are functionalized with the OH group in the ammonium-based cations, in order to study the influence of hydroxyl group in the formation of hydrogen bonds between the IL-IL and IL-gas. The data gathered is modelled with the Cubic Plus Association Equation of State (CPA EoS), considering the association schemes four-sites (4C) for hydrogen sulfide and two-sites (2B) for the ILs ([2-HEA][Ace], [B-2-HEA][Ace] and [2-HEDEA][H(Ace)2]).

Modeling the Solubility of Hydrogen Sulfide in Ionic Liquids Using van der Waals Equation of State

This study mathematically models the solubility of hydrogen sulfide in ten ionic liquids including 1-(2-hydroxyethyl)-3-imidazolium [Hoemim]+ with three different anions, 1-ethyl-3-methylimidazolium [emim]+ with two different anions, 1-hexyl-3-methylimidazolium [hmim]+ with two different anions, and 1-butyl-3-methylimidazolium [bmim]+ with three different anions. The modeling was performed by van der Waals (vdW) equation of state as a φ-φ approach in which the modified van der Waals–Berthelot mixing rule is used. The critical properties of ionic liquids have been estimated by a group of supplementary methods suggested by Valderrama and Robles, known as the modified Lyderson–Joback–Reid method. It is concluded that since the absolute average relative deviation is less than 1%, the developed model has a high accuracy.

Evaluation of Anion Effect on the Solubility of Hydrogen Sulfide in Ionic Liquids Using Molecular Dynamics Simulation

In this study the solubility of Hydrogen Sulfide (H2S) in four ionic liquids: 1-Ethyl-3-methylimidazoliom Hexafluorophosphate [Emim][PF6], 1-Ethyl-3-ethylimidazolium Tetrafluoroborate [Emim][BF4], 1-Ethyl-3-methylimidazolium Trifluromethanesulfonate [Emim][OTf] and 1-Ethyl-3-methylimidazolium Bistrifluoromethylsulfonilimide [Emim][NTf2] at temperature 343.15 K and relevant pressure has been simulated and the accuracy of obtained data compared to experimental ones. By comparing the radial distribution function of the [Emim]+-based ionic liquids with above-mentioned anions, it is found that the existence of H2S impacts the interactions between anion and cation and also the most appropriate anion among those, is [NTf2] which can properly solve H2S in its own.

Hydrogen sulfide solubility in different ionic liquids: an updated database and intelligent modeling

Hydrogen sulfide is an acidic, corrosive, toxic, and flammable gas, which is found extensively in the oil and gas industry. For processing of oil and gas and also for the sake of environmental consideration, the sour gas must be removed. This is usually performed through the application of the gas-liquid absorption processes. Ionic liquids are comparatively novel solutions with desirable properties and do not exhibit the disadvantages, which are associated with common amine-based solutions. Their remarkable properties such as negligible vapor pressure, high thermal and electrochemical stabilities, high solubility, and non-flammability make them a good alternative to classical liquid solvents in the field of gas separation and adsorption. Establishing models for accurate estimation of solubility is an appropriate alternative for costly and time-consuming laboratory measurements. In this study, a multi-layer perceptron model is proposed to predict the hydrogen sulfide solubility in 33 different ionic liquids in a wide range of pressures and temperatures. Critical pressure and temperature as well as the acentric factor were used as the parameters to distinct between different ionic liquids. As unprecedented steps in the prediction of hydrogen sulfide solubility in ionic liquids, dimensionless pressures and temperatures are used as the inputs in addition to the aforementioned characteristic parameters. Moreover, the natural logarithm of solubility values is considered for modeling. The developed model resulted in the average absolute relative deviation of 2.57%, which is indicative of acceptable accuracy. Furthermore, the results were compared with those for the proposed models in the literature. Although some models have provided lower error values, they were trained and tested for a limited number of datapoints and ionic liquids. Compared with recent models with similar number of datapoints and ionic liquids, the proposed model in this study resulted in a much lower error for even a wider range of ionic liquids.

The Influence of Hydrogeology to Generation of Hydrogen Sulfide of Low-Rank Coal in the Southeast Margin of Junggar Basin, China

The salinity, chemical properties, and migration characteristics of groundwater in coal measures are the key factors that affect the generation, migration, and reservoir of hydrogen sulfide (H2S) in low-rank coal seams. Taking the Jurassic coal and rock strata in the southeastern margin of the Junggar basin as the research object, according to the hydrogeological characteristics of the coal measures, the region is divided into 4 hydrogeological units. The coalbed methane contains a large number of secondary biogas. Along the direction of groundwater runoff, the salinity and the pH value increase gradually. The salinity in the hydrogeological units is low; it is not conducive to the propagation of sulfate-reducing bacteria and the formation of hydrogen sulfide of the Houxia, the south of Manasi River, and Hutubi and Liuhuangou area, the western region of the Miquan. The high salinity center and depressions of low water level (hydrodynamic stagnation zone) in the hydrogeological unit of the Liuhuanggou and the Miquan are the main areas for the production and enrichment of H2S in the low-rank coal. The high salinity in water is formed by infiltration, runoff, and drought evaporation. At the same time, the deep confined water environment closed well; in conditions of hydrocarbon-rich, under the action of sulfate-reducing bacteria, bacterial sulfate reduction will occur and hydrogen sulfide formed. According to the circulation characteristics of water bearing H2S in the region, imbricate and single bevel two kind generation and enrichment mode of hydrogen sulfide under the action of hydrodynamic control. The solubility of hydrogen sulfide in pure water and solutions of NaCl and Na2SO4 with different molar concentrations was calculated. The H2S solubility of groundwater in coal measures of 4 hydrogeological units was estimated.

Hydrogen sulfide solubility in 50 wt% and 70 wt% aqueous methyldiethanolamine at temperatures from 283 to 393 K and total pressures from 500 to 10000 kPa

The hydrogen sulfide (H2S) absorption capacity of a 70 wt% aqueous methyldiethanolamine (MDEA) solution was investigated in a static-analytic apparatus at temperatures of 283, 353 and 393 K and pressures of 2000, 6000 and 10000 kPa in the presence of methane. New experimental data were also produced for a 50.1 wt% aqueous MDEA at 323 K and pressures of 500 and 3000 kPa as part of the apparatus validation procedure. A model based on electrolyte non-random two-liquid (eNRTL) activity coefficient model to describe the liquid phase and Peng-Robinson Equation of State to describe the vapor phase non-idealities was developed for the system H2S-MDEA-H2O, which can potentially be used also for the system in the presence of methane at low pressures. Vapor pressure measurements of pure MDEA were also performed in the range of 405–435 K in an ebulliometer and parameters for the Antoine correlation were proposed.

A method for thermodynamic modeling of H2S solubility using PC-SAFT equation of state based on a ternary solution of water, methyldiethanolamine and hydrogen sulfide

In this research, in order to determine the solubility of hydrogen sulfide in the aqueous solution of normal methyldiethanolamine, the PC-SAFT equation of state is used. The main focus of the paper is to provide a method for calculating the association term in this equation of state, so that the simplistic assumptions that Huang and Radosz and Najafloo considered based on the type and number of sites on each molecule are avoided, and concentrations are calculated more accurately. Also, by using the parameters in the articles and parameters set in this work, a prediction of the equilibrium solubility of hydrogen sulfide has been carried out for a temperature range of 298 to 413 K and a pressure range of 0.0013 to 5840 KPa. The average percentage of the absolute value of the relative error (AAD%) is 0.000102%.