J. Chem. Thermodynamics 158 (2021) 106419 Contents lists available at ScienceDirect J. Chem. Thermodynamics journal homepage: www.elsevier.com/locate/jct Experimental determination of hydrate dissociation conditions in CO2 + hexane + dodecane system, + 1-propanol or + tetra-n-butyl ammonium bromide José M. Chima-Maceda, Alfredo Pimentel-Rodas, Luis A. Galicia-Luna ⇑, Angel M. Notario-López Laboratorio de Termodinámica, S.E.P.I.-E.S.I.Q.I.E. Instituto Politécnico Nacional, UPALM, Edif. Z, Secc. 6, 1ER piso, Lindavista C.P. 07738, México, Cd. México, Mexico a r t i c l e i n f o Article history: Received 10 October 2020 Received in revised form 21 October 2020 Accepted 9 February 2021 Available online 17 February 2021 Keywords: Gas Hydrate CO2 Hexane Dodecane 1-propanol TBAB a b s t r a c t Hydrate dissociation conditions for one four-component system and two five-component systems, the CO2 + hexane + dodecane + water system, the CO2 + hexane + dodecane + 1-propanol + water system, and the CO2 + hexane + dodecane + tetra-n-butyl ammonium bromide (TBAB) + water system, were measured in the pressure range of (1.5 to 4) MPa and temperature range of (283 to 290) K at (0.1, 0.2 and 0.3) mass fraction of 1-propanol or TBAB. The experimental measurements were performed using the isochoric pressure-search method in a high pressure blind cell. The hydrate dissociation conditions (temperature and pressure) for the CO2 + hexane + dodecane + water system were compared with experimental data available in international literature were good agreement between the data was founded which indicates the viability of the experimental technique reported in this study. The experimental uncertainties were determined for temperature and pressure as combined standard uncertainties and are 0.16 K and 0.04 MPa, respectively. The relative standard uncertainty in composition was estimated to be 0.0014. In order to verify the reliability of the experimental data containing 1-propanol, a thermodynamic consistency test was performed. Ó 2021 Elsevier Ltd. 1. Introduction Clathrate hydrates are crystalline inclusion compounds that form through the combination of water and suitably sized ‘‘guest” molecules, typically under low temperature and elevated pressure conditions [1]. Mainly, there are three common crystalline structure types, structure I (s-I), structure II (s-II), and structure H (s-H) [1]. The differences of hydrate crystalline structures are reflected in their characteristics of hydrates formation and dissociation. Pure carbon dioxide hydrate always appears as an s-I hydrate with two kinds of polyhedral cavities, whereas the structure of multiguest hydrates may differ from that of the single-guest hydrate [2]. In the oil industry, the formation of gas hydrates is considered as a potential to cause operational problems [3,4]. Carbon dioxide is one of the most commonly non-hydrocarbon gases found in petroleum (it could reach up to 80% of the produced gas at high pressures), so the formation of CO2 hydrates in the oil industry is highly likely [5]. However, the hydrates have properties that involve a large capacity of gas storage, fractionation of gas mixtures, and a ⇑ Corresponding author. E-mail address: lgalicial@ipn.mx (L.A. Galicia-Luna). https://doi.org/10.1016/j.jct.2021.106419 0021-9614/Ó 2021 Elsevier Ltd. high heat of formation and decomposition. These properties allow gas hydrates to be applied for several applications such as water desalination, transportation, and storage of natural gases, airconditioning use, etc [6,7]. Therefore, the inhibition and/or promotion of the formation of CO2 hydrates is of fundamental importance in the aforementioned fields. In the presence of small help gas molecules such as carbon dioxide, water soluble 1-propanol can form stable sII clathrate hydrates, perhaps the hydrophobic portion of the guest molecules is larger than methanol [8]. On its own, 1-propanol is miscible in water and disrupt the water-water hydrogen bonding network (reducing hydrate stability) which shifts the hydrate equilibrium conditions to lower temperature and higher pressure (prevent formation of stable pure alcohol clathrate hydrates) [8-10]. On the contrary, a more economical and efficient way to form hydrates could be by adding thermodynamic promoters such as tetra-nbutylammonium bromide (TBAB), due form semiclathrate hydrates with water which are stable sufficiently at low pressure conditions as compared to gas hydrates, promoting the hydrate formation to lower pressure and higher temperature [11-15]. As a continuation of the systematic study carried out in the Thermodynamics Laboratory of the ESIQIE (Instituto Politécnico Nacional, México) on the hydrates dissociation conditions of sys- José M. Chima-Maceda, A. Pimentel-Rodas, L.A. Galicia-Luna et al. J. Chem. Thermodynamics 158 (2021) 106419 analytical balance by Sartorius LC1201S brand, which has a standard uncertainty of 1 107 kg. For mass determination at least ten weighings were carried out and the average is reported. The stirring system is turned on and the system is further pressurized to the required experimental pressure. Subsequently, the temperature was slowly decreased until the hydrate formation was detected (sharply pressure drop is observed). The system was then left for at least four hours, and then the temperature was increased with steps of 0.1 K so as to dissociate the hydrate. At every temperature step, temperature was kept steady for at least 60 min in order to determine the hydrate equilibrium point accurately. As a result, a pressure–temperature diagram was obtained from which the hydrate dissociation point was determined with the point of intersection where the heating curve meets with the cooling curve. A detailed description of the experimental equipment and procedure has been discussed and presented in our previous work [17,18]. tems containing CO2 + liquid hydrocarbons [16-18], and in order to explore the possible application of the hydrate technique in the separation of water from this kind of compounds, we report new experimental hydrate dissociation data (temperature and pressure) for the CO2 + hexane + dodecane + water system, the CO2 + hexane + dodecane + 1-propanol + water system, and the CO2 + hexane + dodecane + TBAB + water system, which have been measured using the isochoric pressure-search method. 2. Experimental 2.1. Materials Table 1 reports the purities, CAS number and the suppliers of the materials used in this work. Liquids samples and TBAB were degassed by agitation under vacuum before using and CO2 was used as received. The water content for solid and liquid samples was determining using a Karl Fischer coulometer (Metrohm, 831) where: 1-propanol 5.83 10-4 mass fraction, hexane 7.42 10-4 mass fraction, dodecane 6.12 10-4 mass fraction and TBAB 4.51 10-4 mass fraction. Standard uncertainty of content of water is 0.61 10-4 mass fraction. 3. Results and discussion Before studying the systems containing liquid hydrocarbons, the experimental procedure performed in the present study was validated as follows: hydrate dissociation conditions of CO2 + H2O system were measured and compared with literature data [20-23]. Figure 2 shows that the experimental hydrate phase equilibria data, hydrate – liquid water – vapour ðH Lw VÞ, are in good agreement with those reported in the literature, therefore the viability of the method was verified. The experimental data for pure CO2 hydrate are listed in Table 2. Once the experimental procedure was validated, the gas hydrate dissociation points of systems containing H2O, CO2, C6H14 and C12H26 were measured. The mixture under study is a univariant system, however, three compositions (alkane mixture) were studied and reported in order to know the behaviour of this kind of systems in a wide range of compositions, pressures and temperatures, and considering its possible application. For all measurements performed, the composition of the hydrocarbon mixture was established based on the ratio between hexane and dodecane present in Mexican Maya oil wwhexane ¼ 0:8 . The effect of the 2.2. Apparatus Figure 1 shows a schematic diagram of the apparatus used in this work. It is based on the synthetic non-visual method which was operated accordingly to the isochoric pressure-search technique [15,17-19]. Briefly, the main part of the apparatus is a stainless steel cylindrical vessel (equilibrium cell), which can withstand pressures up to 30 MPa. The internal volume of the cell is 25 cm3 where a magnetic stirrer is located at the bottom to agitate the fluids and hydrate crystals inside it. The stirrer was driven by a magnetic stirring grate mounted outside the cell. One platinum probe (previously calibrated against a 25 X reference platinum probe connected with an Automatic System Laboratories F300) inserted into the cell is used to measure temperature. The pressure inside the vessel is measured with a DRUCK pressure transducer (previously calibrated against a dead-weight balance DH 5304). A thermostatic bath is used to set the temperature of the system (circulating ethanol by a cooling jacket where the equilibrium cell is situated). A syringe pump was used to feed CO2 and provided the pressure into the cell. The temperature measurement combined standard uncertainty is estimated to be 0.16 K and the pressure measurement combined standard uncertainty is 0.04 MPa. dodecane hydrocarbon mixture on the pure CO2 hydrate is shown in Figure 3, representing a four phase equilibrium line: Hydrate – liquid water – liquid hydrocarbons – vapour ðH Lw Lh VÞ. As can be seen, at the conditions studied here no effects are observed on the gas hydrate dissociation points when the hydrocarbon mixture is added, regardless of composition (all reported data are on the same hydrate equilibrium curve), since hexane and dodecane are immiscible and lighter than water. Furthermore, it is known that linear alkanes (such as hexane and dodecane) not to serve as guest species but mainly interferes with mass transport between gas phase and liquid water pool [24]. Experimental hydrate dissociation data for H2O + CO2 + C6H14 + C12H26 are listed in Table 3. 1-Propanol was added to the investigated system in order to know the effect of a thermodynamic inhibitor (TI) in the mixture. The dissociation conditions of CO2 hydrates containing hexane and dodecane in aqueous solutions was founded in (268.6 – 2.3. Method The hydrate dissociation conditions were measured with an isochoric pressure-search technique. The equilibrium cell (previously degassed and cleansed) containing aqueous solution (water + liquid hidrocarbons, + 1-propanol, + TBAB) was immersed into the thermostatic bath. The cell is then pressurized with CO2 through a syringe pump. Mass measurements were conducted using an Table 1 Chemical Information.a a compound supplier CAS RN mass fraction puritya purification method CO2 water dodecane hexane 1-Propanol TBAB Infra Air Products Sigma-Aldrich Sigma-Aldrich Sigma-Aldrich Sigma-Aldrich Sigma-Aldrich 124-38-9 7732-18-5 112-40-3 110-54-3 71-23-8 1643-19-2 0.99995 0.9995 0.9950 0.9670 0.9970 0.9980 None None None None None None The purities were provided by the supplier. Analysis method: Gas chromatography. 2 J. Chem. Thermodynamics 158 (2021) 106419 José M. Chima-Maceda, A. Pimentel-Rodas, L.A. Galicia-Luna et al. Figure 1. Experimental apparatus used in this study. Equilibrium cell (EC), Thermostatic Bath (TB), Stirrer System (SS), Syringe Pump (SP), Vacuum Pump (VP), Temperature Indicator (TI), Pressure Indicator (PI), Pressure Transducer (PT), Acquisition Data Unit (ADU), Gas Supply (GS), Valves (V1, V2, V3). Figure 3. Experimental hydrate phase equilibria data ðH Lw Lh VÞ for CO2 + C6H14 + C12H26 + H2O systems. (▲) w = 0.1 (hydrocarbon mixture), (j) w = 0.2 (hydrocarbon mixture), (r) w = 0.3 (hydrocarbon mixture). Pure CO2 hydrate: (d) This work. Figure 2. Experimental hydrate phase equilibria data ðH Lw VÞ for pure CO2 hydrate. (d) This work; (▲) Adisasmito et al. [20], (j) Lirio and Pessoa [21], (r) Ferrari et al. [22], (.) Mohammadi et al. [23]. Table 2 Experimental Hydrate Phase Equilibria Data ðH Lw VÞ for H2O + CO2 System.a P/MPa T/K 1.75 2.38 2.75 3.40 3.89 276.3 278.6 279.8 281.4 282.3 Table 3 Experimental Hydrate Phase Equilibria Data ðH Lw Lh VÞ for H2O (1) + CO2 + C6H14 (2) + C12H26 (3) System.a,b a Combined standard uncertainties u are uc (P) = 0.04 MPa and uc (T) = 0.16 K. The relative standard uncertainty ur (wi ) = 0.0014. 277.9) K temperature range and pressures up to 3.16 MPa. As previously shown, the hydrate dissociation points for the studied systems, regardless of the composition of the alkane mixture, are on the same equilibrium curve, therefore only one composition (wmixture = 0.2) was measured and plotted. Figure 4 shows the hydrate dissociation data ðH Lw Lh VÞ obtained in this work at wmixture ¼ 0:2 and w1propanol ¼ 0:1; 0:2 and 0:3. As expected, 1-propanol shifts the hydrate phase equilibria towards a lower temperature compared pure CO2 hydrate (plotted in the same Figure), since 1-propanol disrupts the water water hydrogen bonding network making it difficult to convert all water to hydrate [25]. Experimental data for all measurements performed (H2O + CO2 + C6H14 + C12H26 + 1-propanol systems) are listed in Table 4. w2 w3 P/MPa T/K 0.044 0.056 0.090 0.110 0.132 0.168 1.53 2.12 2.52 2.94 3.41 1.6 1.97 2.39 2.91 3.44 1.50 1.99 2.35 2.73 3.25 274.8 277.6 279.1 280.4 281.5 275.1 276.9 278.7 280.3 281.5 274.8 277.2 278.7 279.9 281.2 a Combined standard uncertainties u are uc (P) = 0.04 MPa and uc (T) = 0.16 K. The relative standard uncertainty ur (wi ) = 0.0014. b The mass fractions correspond to the liquid mixture. In the same Figure, CO2 hydrate containing 1-propanol and hexane reference data is shown [18]; as can be observed, a slight discrepancy is obtained between those data, especially at high composition of 1-propanol. This effect can be attributed by two 3 José M. Chima-Maceda, A. Pimentel-Rodas, L.A. Galicia-Luna et al. J. Chem. Thermodynamics 158 (2021) 106419 where P is the pressure in MPa, T is the temperature in K, and A and Hd and interB are constants corresponding to the slope A ¼ DzR cept, respectively. The second assessment represent the consistency of the heat of hydrate dissociation (focuses on the hydrate structure and guest species for the solid hydrate phase), to quantify this proof is necessary to get the values of ATHI and Aw , where those are the slope of the regression curves for inhibited systems and pure water, respectively [26]. The third assessment is to check the consistency of the activity of water (is an independent verification of the consistency of the water activity for the liquid water phase) through RSD, defined like standard deviation between the average value of TT00T , where T and T T 0 are the hydrate phase equilibrium temperature for system and pure water, respectively. The function of the assessment is calculate the activity of water considering the heat of hydrate dissociation [26]. For details about the theory and experimental methodology the reader is referred to the original literature source. From these three assessments, the thermodynamic consistency of hydrate phase equilibrium data ðH Lw Lh VÞ for H2O + CO2 +C6H14 + C12H26 + 1-propanol system can then be presented (Table 5). As can be observed, in the first and third assessments experimental data pass. However, the result of the second assessment is acceptable, this perhaps due to two situations [26]: a) the polynomial regression of experimental data was necessary due it is necessary to evaluate the same conditional slopes (ATHI and Aw ) with all the necessary implications and care, and/or b) the carbon dioxide causes significant slope changes. Based on these results, the hydrate dissociation conditions for H2O + CO2 + C6H14 + C12H26 + 1-propanol system might require caution when using them. One more effect that must be considered in the dissociation of hydrates for its possible application is the promoter effect. In this work, TBAB was used and investigated as a thermodynamic promoter at three compositions (wTBAB ¼ 0:1; 0:2;and0:3) while the composition of the alkane mixture was fixed at wmixture ¼ 0:2. Experimental hydrate phase equilibria data ðH Lw Lh VÞ for CO2 + C6H14 + C12H26 + H2O + TBAB, as well as CO2 hydrates containing hexane + decane in aqueous solutions [16], and pure CO2 hydrate are shown in Figure 5. The effect of TBAB with respect to pure CO2 hydrate is remarkable, while the concentration of TBAB increases, the hydrate dissociation temperature increases, phenomenon that can be attributed to the fact that the dodecahedron cavities of TBAB can entrap small gas molecules (such as CO2) under satisfactory temperature and pressure conditions [27]. Experimental hydrate dissociation conditions for CO2 + C6H14 + C12H26 + H2O + TBAB systems are presented in Table 6. In addition, as in the 1-propanol-containing system, the TBABcontaining system was compared against a system published in the literature (CO2 + C6H14 + C10H24 + H2O + TBAB) [16], and are presented in the same figure. As in the system containing 1propanol, slight discrepancies are observed between the data obtained in this work and the literature [16], the difference being greater at high concentrations of TBAB. In all cases, the mixture containing hexane and decane shows greater promoter power, perhaps due the pressure and temperature affect the solubility of carbon dioxide and water in the liquid hydrocarbon phase [28]. With the increase of pressure, the solubility of carbon dioxide in linear alkanes (such as hexane and dodecane) increases significantly, while the temperature increases, the solubility of water in linear alkanes slightly increases [29,30]. The other possible explanation is that linear alkanes influences the activity of water [31]. These effects are interesting and allow a wide discussion for analysis and can be considered as a basis for further works. Figure 4. Experimental hydrate phase equilibria data ðH Lw Lh VÞ for CO2 + C6H14 + C12H26 + H2O + 1-propanol systems at wmixture ¼ 0:2: (▲) w1propanol ¼ 0:1, (r) w1propanol ¼ 0:2, (D) w1propanol ¼ 0:3. Without dodecane: (d) Chima-Maceda et al. at whexane ¼ 0:1 and w1propanol ¼ 0:1 [18], (j) Chima-Maceda et al. at whexane ¼ 0:1 and w1propanol ¼ 0:3 [18]. Pure CO2 hydrate: (.) This work. aspects: the experimental uncertainty of some data allows us to establish that they may be on the same hydrate equilibrium curve; or 1-propanol is being slightly soluble in the liquid hydrocarbon phase, thus a relative lower concentration of 1-propanol will be present in the aqueous phase, which will be reflected as a slight lower effect in depressing the hydrate equilibrium curve. These results are interesting and allow discussion on the effects of alkane mixtures and TÍs (such as 1-propanol) on the determination of hydrate dissociation data containing thermodynamic inhibitors, and can be considered as a basis for further works. In order to verify the reliability of the experimental data containing 1-propanol, a thermodynamic consistency test of hydrate phase equilibria data for inhibited system was performed according to Sa et al. [26]. The thermodynamic consistency test involves three criteria: linear regression of data, consistency of the heat of hydrate dissociation, and water activity. The first criteria is to check how close the hydrate phase equilibrium data are to the linear fitting regression equation given by ln P ¼ 1 AþB T ð1Þ Table 4 Experimental Hydrate Phase Equilibria Data ðH Lw Lh VÞ for H2O (1) + CO2 + C6H14 (w ¼ 0:090) + C12H26 (w ¼ 0:110) + 1-propanol (4) System.a,b 1-propanol mass fraction P/MPa T/K 0.10 1.42 1.86 2.31 2.73 3.16 1.43 1.74 2.18 2.58 3.11 1.34 1.76 2.15 2.57 3.05 271.3 273.6 275.5 276.9 277.9 269.7 271.5 273.6 275.0 276.3 268.6 271.1 273.0 274.6 275.8 0.20 0.30 a Combined standard uncertainties u are uc (P) = 0.04 MPa and uc (T) = 0.16 K. The relative standard uncertainty ur (wi ) = 0.0014. b The mass fractions correspond to the liquid mixture. 4 J. Chem. Thermodynamics 158 (2021) 106419 José M. Chima-Maceda, A. Pimentel-Rodas, L.A. Galicia-Luna et al. Table 5 Hydrate Phase equilibrium data ðH Lw Lh VÞ for H2O + CO2 + C6H14 + C12H26 + 1-propanol system in where their classification into pass (green), and acceptable (orange) regions based on the assessment of their thermodynamic consistency. The experimental results allow establishing that the mixture of alkanes has no effect on the hydrate phase equilibria data of pure CO2 hydrates. As expected, 1-propanol had an inhibitory effect on the systems studied due to their hydrogen bonging interaction with water molecules, which shifts the hydrate equilibrium conditions to lower temperature and higher pressure. Based on these results of the thermodynamic consistency test, the hydrate dissociation conditions for H2O + CO2 + C6H14 + C12H26 + 1propanol system can be used (thermodynamic models) with caution. Conversely, TBAB demonstrated a promoter effect on the hydrate phase equilibria, due the dodecahedron cavities of TBAB can entrap small gas molecules (such as CO2) promoting the hydrate formation to lower pressure and higher temperature. From the results obtained here and for the conditions and systems studied, the effects of 1-propanol and TBAB that may of great interest for potential applications of gas hydrates. Figure 5. Experimental hydrate phase equilibria data ðH Lw Lh VÞ for CO2 + C6H14 + C12H26 + H2O + TBAB systems at wmixture ¼ 0:2: (d) wTBAB ¼ 0:1, (j) wTBAB ¼ 0:2, (▲) wTBAB ¼ 0:3. Experimental hydrate phase equilibria data for CO2 + C6H14 + C10H24 + H2O + TBAB systems at wmixture ¼ 0:1: (h) Galicia-Luna et al. at wTBAB ¼ 0:1 [16], (s) Galicia-Luna et al. at wTBAB ¼ 0:2 [16], (D) Galicia-Luna et al. at wTBAB ¼ 0:3 [16]. Pure CO2 hydrate: (.) This work. Funding The authors would like to thank the Instituto Politécnico Nacional and CONACyT for the financial support of this research. Table 6 Experimental Hydrate Phase Equilibria Data ðH Lw Lh VÞ for H2O (1) + CO2 + C6H14 (w ¼ 0:090) + C12H26 (w ¼ 0:110) + TBAB (4) System.a,b TBAB mass fraction P/MPa T/K 0.10 1.96 2.23 2.58 3.17 3.63 2.01 2.53 2.96 3.35 3.77 1.96 2.45 2.89 3.40 3.82 287.7 288.1 288.6 289.3 289.7 289.4 290.0 290.5 290.9 291.3 289.5 290.1 290.6 291.1 291.5 0.20 0.30 CRediT authorship contribution statement José M. Chima-Maceda: Investigation, Validation. Alfredo Pimentel-Rodas: Software, Validation, Formal analysis, Writing review & editing. Luis A. Galicia-Luna: Funding acquisition, Project administration, Supervision, Visualization. Angel M. NotarioLópez: Methodology, Validation. 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