Semi-clathrate hydrate phase equilibria of carbon dioxide in presence of tetra-n-butyl-ammonium chloride (TBAC): Experimental measurements and thermodynamic modeling
Introduction
Gas hydrates are a group of ice-like crystalline compounds which are constructed by physically stable interaction of hydrogen bonded lattice structures made by water molecules and small guest gas molecules trapped in the cages of the lattice [1]. Recently, gas hydrates are become important in many areas such as gas separation, air conditioning, water desalination and natural gas storage and transportation [[2], [3], [4], [5], [6]]. The use of hydrate of gases mainly carbon dioxide is particularly important from environmental point of view. Separation of CO2 using hydrate leads to a major reduction of the CO2 from gas mixtures which are important in natural gas industry and environmental protection. Several authors have reviewed the positive application of hydrate formation as a novel approach for separation of carbon dioxide [4,7]. Although gas hydrates are suitable properties for several purposes, however it is still remaining concerns about the scale up to large practical applications. In order to overcome of some these deficiencies, some additives called promoters are added to increase its stability.
Quaternary ammonium salts (QAS) are among additives forms semi-clathrate hydrates. Tetra-n-butyl ammonium chloride (TBAC) is one of QAS which interest due to its stability at near atmospheric pressure and ambient temperature. Anionic part (Cl−) will be confined in the lattice made by water molecules and its cation occupy some of the available large cavities. In addition, small gas molecules such as CO2, CH4, and etc. Can be trapped in the available small cages [[8], [9], [10], [11]]. This alteration usually promotes the hydrate equilibrium conditions and salt acts as a “promoter”. TBAC partially dissociate in water even at low and moderate concentrations and can form three more conventional structures including: TBAC·24H2O (H24), TBAC·30H2O (H30), and TBAC·32H2O (H32) [12]. While there are a few equilibrium data on the dissociation conditions of semi-clathrate hydrates of this salt, rigorous literature survey shows still it is necessary to generate more experimental data to clarify the promotion effect of this salt [[11], [12], [13], [14], [15]].
In semi-clathrate hydrates, it is highly attractive to institute a relation between change of the dissociation pressure and the temperature in a wide range of temperature, pressure and salt composition. To this purpose, it should be found a reliable way to evaluate the thermodynamic stability of semi-clathrate hydrates. There have been some attempts to achieve a reliable relation [[16], [17], [18], [19]]. Most of the thermodynamic models for predicting the semi-clathrate hydrate dissociation conditions are various modifications of the well-known van der Waals-Platteeuw (vdW–P) model. The main assumption in the available models for prediction of semi-clathrate hydrates phase equilibria is that no association of hydrated anions and cations take place in aqueous solution. While quaternary ammonium salts, partially dissociates in aqueous solution. The ideal ionic solution assumption can be removed by develop a reliable thermodynamic model. For instance, Mesbah et al. [20,21] have been modelled the semi-clathrate hydrates of CH4, CO2, N2, and H2S in TBAB using Langmuir adsorption theory, Peng-Robinson EoS, and genetic algorithm to represent the nonideality of gas hydrate. They have used Nelder-Mead and Genetic algorithm for tuning their model variables, showing their model could cover a wider range of data.
In this work, new experimental data have been measured for the dissociation conditions of carbon dioxide semi-clathrate hydrates in the presence of TBAC at three different salt mass fractions including 0.050, 0.122 and 0.160. Data are experimentally measured by employing a stepwise heating method in the temperature range of 281.6 K–291.1 K and pressures up to 4.29 MPa. A comparison between the promotion effect of TBAC, TBAB and THF at the different concentrations is also performed. Furthermore, hydrate dissociation conditions for TBAC + CO2+water system is modelled same as presented in Ref. [17] with some modifications.
Section snippets
Chemicals
Carbon dioxide sample at a purity grade of 99.995% produced by Persian Gas Co. was used for the present experiment. The TBAC, which was in powder form with a purity of 0.95 mass fraction supplied by Merck chemical Co. and used without further purification. The solutions were prepared by gravimetric method using a digital balance with the accuracy of ±0.0001 g (AND, JAPAN). Deionized distilled water was also used in all experiments. The details about utilized materials are presented in Table 1.
Apparatus
Thermodynamic model
The thermodynamic modeling procedure of the studied system has been undertaken in two steps. First, the phase equilibria of pure TBAC in water (H-LW) are predicted based on the Gibbs free energy minimization technique. Then, this model is combined with the van der Waals–Platteeuw solid solution theory to predict the hydrate-liquid-vapor (H-LW-V) phase behavior of the semi-clathrate hydrate of carbon dioxide in the presence of TBAC aqueous solution. The details description of the modeling
Liquid phase properties
The activities of species in the aqueous phase are determined using the BiMSA electrolyte model. The parameters of the BiMSA model are fitted to experimental activity coefficients data using a genetic algorithm (GA) global optimization method. The deviation between experimental and calculated values of the osmotic and mean ionic activity coefficients is expressed in terms of the absolute average relative deviation percent (%AARD). The fitted parameters and %AARD of the osmotic and mean activity
Conclusion
In this study, we obtained new experimental data for the dissociation conditions of semi-clathrate hydrates of carbon dioxide in the presence of aqueous solution of tetra-butyl ammonium chloride. Afterwards, The H-LW and H-LW-V phase equilibrium of the TBAC + CO2+water system are described with a combination of the vdW–P solid solution theory, BiMSA electrolyte model and modified PR-EoS for calculation of the hydrate, aqueous solution and gaseous phase properties, respectively. Results of
Author contribution
Kamalodin Momeni (%40), Abolfazl Jomekian (%30), Bahamin Bazooyar (%30).
Declaration of competing interest
The authors hereby declare no conflict of interest.
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