M. K. Wong,
A. M. Shariff* and
M. A. Bustam
Research Centre for CO2 Capture (RCCO2C), University Teknologi PETRONAS, 31750 Tronoh, Perak, Malaysia. E-mail: azmish@petronas.com.my; Tel: +605 3687570
First published on 12th January 2016
Aqueous phase characterization and thermodynamic modeling of the vapor liquid equilibrium of CO2 in a reactive solvent are important for designing and operating CO2 removal systems. A quantitative method using Raman spectroscopy was applied to determine the absorption capacity and molality of various ionic and molecular species in liquid phase CO2 loaded monoethanolamine (MEA) solutions. Species distribution profiles during absorption were reported for a wide range of CO2 loading. CO2 solubility in aqueous MEA with concentrations varied from 10 to 30 mass% were studied using in situ Raman spectroscopic analysis for pressure ranges from 1 to 50 bar at 303.15, 313.15 and 323.15 K. Vapor liquid equilibrium data for the CO2–MEA–water ternary system was analyzed using the Deshmukh–Mather model.
Raman spectroscopy offers some advantages over other spectroscopic or optical methods. With application of fiber optic probes, both vapor and liquid phases can be directly analyzed without disturbing the equilibrium of the system or having to collect sample from the apparatus for remote analysis. It also allows measurement in aqueous system because of the weak Raman scattering of water molecules.4 Several studies on speciation of acid gas in alkanolamine and ammonium systems were reported.5–7 A systematic quantitative method of ionic and molecule species in liquid phase in CO2 loaded MEA solution was recently developed for Raman spectroscopy.8 Comprehensive spectral analysis was performed to identify characteristic peak and calibrate concentration of individual component with assistance of mass balance and electroneutrality equations.
Thermodynamic model is vital for operation of CO2 separation processes and development of new amine based solvent, hence accurate determination of the thermodynamic properties of CO2 in aqueous amine is of major interest for both technical and economical considerations. A number of models can be used to represent vapor–liquid equilibrium of acid gas in aqueous amine solutions. Essentially the models can be classified into three categories.
Empirical models such as models introduced by Danckwerts and McNeil9 and also Kent and Eisenberg,10 which are relatively simple because non-idealities of the system are accounted in equilibrium constants. All activity and fugacity coefficients are assumed to be one and two pseudo equilibrium constants are fitted to experimental solubility data. Despite its simplicity, Kent–Eisenberg model is widely used and can give fairly good prediction of partial pressure of CO2 over aqueous solution of alkanolamines.11,12 However, extrapolation applicability beyond experimentally tested region is rather limited. The model is modified to include more data and parameters for fitting to better represent vapor liquid equilibrium of CO2 absorption in solutions of single and blended amines.13
Semi empirical activity models based on excess Gibbs free energy. Deshmukh–Mather model employed Debye–Huckel law and the Guggenheim equation to represent activity coefficients.14 Electrolyte NRTL model was developed by Chen and Evans15 to examine the behavior of aqueous multicomponent electrolyte systems by adopting Pitzer–Debye–Huckel equation and NRTL model to determine excess Gibbs energy. The model is applied by Austgen et al.16 and Posey17 for acid gas–alkanolamine–water systems to correlate CO2 solubility and describe speciation in liquid phase via chemical equilibria. A more rigorous model, extended UNIQUAC model is used by Thomsen and Rasmussen18 and Faramarzi et al.19 to analyze VLE for CO2 absorption in aqueous amines.
Equation of state (EoS) model derived from a development of Helmholtz energy is first proposed by Fürst and Renon.20 Application of this approach in reactive absorption system for CO2 capture is comparatively more recent. This modeling method provides representation of thermodynamic properties in both liquid and vapor phases. Equilibrium of CO2 and H2S in different amine solutions over a large gas loading range is modeled with electrolyte EoS.21,22
In this work, Deshmukh–Mather model was selected to simulate reactions of CO2 with aqueous MEA and represent experimental vapor liquid equilibrium data for its practicality and thermodynamics rigorousness. It is also reasonably simpler compared to e-NRTL and EOS models.23 Raman spectroscopic method introduced in previous study was used to measure concentration of ionic and molecular species present in CO2 loaded MEA solution.8 The major chemical species identified are MEA, protonated MEA (MEAH+), carbamate (MEACOO−) bicarbonate (HCO3−), carbonate (CO32−) and molecular CO2. CO2 solubility in aqueous MEA was determined with Raman technique based on total carbon containing species in liquid phase. Experiments of CO2 absorption in MEA solution were conducted at pressures in the range of 1–50 bar and temperatures from 303.15 K to 323.15 K for MEA concentrations of 10, 20 and 30 mass%. Species distribution in equilibrated ternary CO2–MEA–water system for a wide range of CO2 loading was evaluated. Raman speciation data is compared to aqueous phase composition profile predicted by models available in literature.
Raman spectrum in the liquid phase was collected at the initial condition of experiment and after equilibrium was attained with a Thermo Scientific DXR SmartRaman system. Baseline of spectra was corrected with polynomial function of fourth degree to eliminate background noise using Omnic Specta software (Thermo Fisher Scientific Inc.). Curve-fitting program PeakFit V. 4.12 (Systat Software Inc.) was utilized to resolve complex experimental band envelopes in the region between 300 cm−1 and 3100 cm−1 to detect, separate and quantify overlapping composite peaks. Band resolution was achieved using deconvolution method, which employs Gaussian response function with a Fourier filtering algorithm. Area of species peak is normalized against a reference component peak to eliminate errors introduced by background scattering, laser power, spectral resolution and instrument noise, sodium perchlorate, NaClO4 (AR grade, Merck Sdn Bhd) was added to all MEA solutions to concentration of 0.517 mol kg−1 as internal intensity reference prior to contacting with CO2.
CO2 solubility was measured spectroscopically based on total of carbon containing species detected in liquid phase which represents amount of CO2 absorbed into aqueous MEA. CO2 loading, α (mol of CO2/mol of amine), was determined using eqn (1) with molality of carbamate, bicarbonate, carbonate and molecular CO2 in liquid phase predicted with area ratio of species peak in Raman spectrum.
α = (CMEACOO− + CHCO3− + CCO32− + CCO2)/CMEA,0 | (1) |
For comparison, CO2 loading in solvent was also calculated based on pressure drop of CO2 in gas phase as shown in eqn (2).
α = [VGV(P1/z1 − P2/z2) − (PSTR(VSTR − VMEA)/z)]/nMEA,0RT | (2) |
Concentration of species is quantified based on relative molar scattering factor of characteristic band of individual and internal reference band, where relation between concentration of species and area ratio can be expressed as eqn (3).
mi = (Av/A933)/Jv | (3) |
Species | Correlation |
---|---|
MEA | CMEA = (A2930/A933)/0.2782 |
MEAH+ | CMEAH+ = (A2975/A933)/0.3573 |
MEACOO− | CMEACOO− = (A1155/A933)/0.0458 |
CO2 (aq) | CCO2 = (A1380/A933)/0.0941 |
HCO3− | CHCO3− = (A1015/A933)/0.2273 |
CO32− | CCO32− = (A1066/A933)/0.4782 |
Amine protonation:
MEA + H+ ↔ MEAH+ | (4) |
Carbamate hydrolysis:
MEACOO− + H2O ↔ MEA + HCO3− | (5) |
Carbon dioxide first ionization:
CO2 + H2O ↔ HCO3− + H+ | (6) |
Water dissociation:
H2O ↔ H+ + OH− | (7) |
Carbon dioxide second ionization:
HCO3− ↔ CO32− + H+ | (8) |
In addition, the carbonated aqueous amine system is also subject to amine and carbon mass balances constraints as well as electroneutrality as presented in eqn (9)–(11).
Amine balance:
mMEA,0 = mMEAH+ + mMEACOO− + mMEA | (9) |
Carbon balance:
αmMEA,0= mMEACOO− + mHCO3− + mCO32− + mCO2 | (10) |
Electroneutrality:
mMEAH+ + mH+ = mMEACOO− + mHCO3− + 2mCO32− + mOH− | (11) |
K1 = mMEAmH+γMEAγH+/(mMEAH+γMEAH+) | (12) |
K2 = mMEAmHCO3−γMEAγHCO3−/(mMEACOO−γMEACOO−) | (13) |
K3 = mHCO3−mH+γHCO3−γH+/(mCO2γCO2aw) | (14) |
K4 = mCO32−mH+γCO32−γH+/(mHCO3−γHCO3−) | (15) |
K5 = mOH−mH+γOH−γH+/aw | (16) |
For ionic and molecular species, the reference state selected is a hypothetical ideal solution. Activity coefficient of the species is unity in an infinitely dilute aqueous solution. The standard state for solvent is defined as that of pure water at the system pressure and temperature. Equilibrium constants are correlated with temperature, T in the form as given in eqn (17).
lnK = a + b/T + clnT | (17) |
Values for parameters a, b and c taken from literature are summarized in Table 2. Equilibrium constants (K1 to K5) are based on molality scale. Activity of water is equal to its mole fraction. The extended Debye–Hückel expression as given in eqn (18) is used to calculate activity coefficients of all solute species. The expression is originally proposed by Guggenheim and Stokes (1958) for electrolyte solutions.26
(18) |
The long-range electrostatic forces between ionic species are taken into account by the first term, while the short-range van der Waals interactions between molecular and ionic species in the aqueous phase are taken into account by the second term in eqn (18). The Debye–Hückel proportionality factor, A and the parameter B are a function of dielectric constant of solvent (water), ε and temperature. Dielectric constant can be calculated according to eqn (19).27,28
ε = 80 − 0.4(T − 293) | (19) |
The ionic strength of the solution, I, is defined as in eqn (20).
(20) |
βij = aij + bijT | (21) |
There are 10 species present in the ternary system of CO2–MEA–H2O system. Taking into account interaction for all molecule–molecule binary, ion–ion binary and molecule-ion binary may results in overabundant and unnecessary adjustable parameters. The number of interaction parameter can be reduced to seven based on results of sensitivity analysis.24 aij and bij coefficients for the selected ions or molecules binary interactions are presented in Table 3.
Species interaction (kg mol−1) | Coefficient for eqn 22 | |
---|---|---|
aij (kg mol−1) | bij (kg (K−1 mol−1)) | |
CO2–MEA | −0.171 | 2.086 × 10−4 |
CO2–MEAH+ | −1.001 | 3.209 × 10−3 |
CO2–CO32− | 0.489 | — |
MEA–CO32− | −0.202 | — |
MEAH+–HCO3− | −0.192 | 4.140 × 10−4 |
MEAH+–CO32− | −0.328 | — |
MEACOO−–HCO3− | −0.154 | — |
HCO2 = 94.4914 + 6789.04/T −11.4519lnT + 0.01045T | (22) |
Equilibrium, mass balance and electroneutrality equations are required to be solved simultaneously for the calculation of CO2 loading and concentration of individual chemical species. The nonlinear equations were solved using Levenberg Marquardt algorithm with numerical computing software, Matlab R2013a.
Fig. 1 Spectra of aqueous MEA at different CO2 loadings for (a) 900–1400 cm−1 range and (b) 2600–3100 cm−1 range. |
T (K) | P (bar) | CO2 loading | MSE | |
---|---|---|---|---|
Pressure drop | Raman | (×10−2) | ||
303.15 | 1.0 | 0.751 | 0.754 | 0.00 |
2.3 | 0.823 | 0.832 | 0.01 | |
3.0 | 0.883 | 0.888 | 0.00 | |
6.1 | 1.043 | 1.012 | 0.10 | |
10.0 | 1.157 | 1.161 | 0.00 | |
19.8 | 1.219 | 1.219 | 0.00 | |
30.0 | 1.342 | 1.424 | 0.67 | |
40.1 | 1.465 | 1.517 | 0.28 | |
50.3 | 1.504 | 1.621 | 1.36 | |
313.15 | 1.0 | 0.706 | 0.693 | 0.01 |
2.2 | 0.812 | 0.794 | 0.03 | |
3.2 | 0.888 | 0.859 | 0.08 | |
6.0 | 1.029 | 0.914 | 1.33 | |
9.3 | 1.042 | 1.019 | 0.05 | |
20.0 | 1.204 | 1.157 | 0.22 | |
30.0 | 1.304 | 1.339 | 0.13 | |
40.0 | 1.347 | 1.435 | 0.79 | |
50.0 | 1.491 | 1.539 | 0.23 | |
323.15 | 1.0 | 0.684 | 0.639 | 0.20 |
2.0 | 0.769 | 0.742 | 0.08 | |
3.2 | 0.809 | 0.794 | 0.02 | |
6.0 | 0.986 | 0.900 | 0.74 | |
10.1 | 1.038 | 0.941 | 0.93 | |
20.1 | 1.102 | 1.025 | 0.58 | |
30.0 | 1.162 | 1.085 | 0.60 | |
40.0 | 1.210 | 1.155 | 0.30 | |
50.0 | 1.293 | 1.255 | 0.14 |
Fig. 2 depicts comparison between CO2 solubility in 20% MEA solution obtained from Raman experiments and modeling results. It can be seen that the model estimation is in good agreement with CO2 loading measured using Raman method over the temperature range considered. Pressure of CO2 over aqueous MEA of various concentrations at a fixed temperature is presented in Fig. 3. It is noted that CO2 is less soluble with increasing MEA concentration. This observation is consistent with behavior of CO2–amine–water ternary system. Fig. 4 illustrates the overall comparison of equilibrium solubility data reported in this work and values correlated from Deshmukh–Mather model. The model satisfactorily correlates experimental loadings with an overall Average Absolute Deviation (AAD) of 5.08%. As shown in the parity plot, all 81 data points fall within 20% AAD. Deviation is more apparent at higher loadings where model tends to overpredict absorption capacity at elevated pressure conditions.
Fig. 2 CO2 loading in 20% aqueous MEA from 1 to 50 bar at different temperatures (303.15 K, 313.15 K and 323.15 K) with model prediction. |
Fig. 3 CO2 loading in aqueous MEA at various concentrations for pressure from 1 to 50 bar and temperature at 313.15 K with model prediction. |
Fig. 4 Parity plot of CO2 solubility in aqueous MEA from 303.15 K to 323.15 K obtained from Raman measurement and Deshmukh–Mather model. |
Fig. 5 Chemical speciation according to CO2 loading in 20% MEA aqueous solution at 313.15 K with Deshmukh–Mather model predictions. |
Deshmukh–Mather model gives acceptable representation of experimental data on speciation of CO2 in MEA solution by Raman spectroscopy. Difference between predicted and experimental molalities observed for bicarbonate, MEAH+, carbamate at high loading could be due to over approximation of forward reaction of carbamate deformation (eqn (5)). The increased of MEACOO− molality results in higher MEAH+ and HCO3− molalities modeled. Physical solubility was calculated in the model based on Henry's law (eqn (22)) for unloaded aqueous MEA. However, solubility behavior of gas may deviate from linear dependence of pressure on Henry's constant as depicted in eqn (23) when MEA solution is loaded with CO2.
P = mCO2HCO2 | (23) |
Difference of CO2 molality values obtained from experiment and model could be due to change of property of MEA solution as more CO2 is chemically absorbed in the solution.
In addition, liquid phase mole fraction of the major components determined by Raman spectroscopy in 30% MEA solution at 313.15 K (Fig. 6) is compared to speciation result of refined electrolyte NRTL (e-NRTL) and extended UNIQUAC models. These two models are based on excess free Gibbs energy, which are known to be thermodynamically rigorous.
Fig. 6 Chemical speciation in mole fraction according to CO2 loading in 30% MEA aqueous solution at 313.15 K with Deshmukh–Mather model predictions. |
Extended UNIQUAC model was implemented by Faramarzi et al.19 for CO2 in aqueous alkanolamine. Debye–Huckel term was added to the original non electrolyte UNIQUAC equation introduced by Abrams and Prausnitz29 to account for electrostatic interactions. Equilibrium species distribution reported generally follows the trend obtained from Raman spectra but magnitude of mole fraction deviates significantly. Notable discrepancies are over prediction of bicarbonate, underestimation of carbamate and CO2 in higher loading region as well as substantial amount of unreacted MEA past half molar. Besides, the analysis did not include CO32− as main component in the reactive system. Aronu et al.30 incorporated correlation based on experimentally determined physical solubility of CO2 in loaded MEA. Carbonate molality was underestimated and rapid consumption of MEA above CO2 loading 0.6 does not agree with experimental speciation data. Overall, the model adequately describes aqueous phase speciation.
Fair comparison cannot be performed with e-NRTL model because of different temperature condition (293 K) employed by Zhang et al.31 Besides, concentration of molecular CO2 in aqueous phase was neglected, meanwhile CO2 shows significant contribution in solubility of CO2 in MEA solution in current study. Utilization of NMR speciation measurements in regression analysis of e-NRTL model by Hilliard32 may yield improved liquid phase composition. However, molalities of MEA and MEAH+ were combined, while CO2, CO32− and HCO3− were lumped in his speciation diagram. Presentation of species evolution in both works does not allow direct comparison of individual species.
Bollas et al.33 indicated that e-NRTL model is inconsistent for systems with multiple cations and/or anions, therefore refined e-NRTL was applied to model equilibrium behavior of CO2–MEA–H2O system.34 Pitzer–Debye–Huckel and Born terms were added to the original e-NRTL model to account for long range coulombic interactions and chemical potential change, respectively. Model predictions of mole fraction distribution is close to results presented by Aronu et al.30 despite the different thermodynamic frameworks used. This model gives higher mol fraction of CO32− compared to extended UNIQUAC, which is a better approximation to values measured by Raman.
Model prediction by Aronu et al.30 and Hessen et al.34 demonstrate good representation of chemical speciation determined by Raman spectroscopy. The drawback of these models is complexity of activity coefficient expressions which is tedious to compute. Both approaches require regression of a considerable quantity of interaction parameters using a large experimental database (16 for refined e-NRTL and 13 for extended UNIQUAC). Accuracy of model relies heavily on choice of experimental data and literature parameters for regression.
Kent–Eisenberg correlation is widely used for prediction of vapor liquid equilibrium CO2–amine–water systems. However, most studies emphasize on CO2 loading or partial pressure modeling and no speciation data has been reported.35–37 This may be because of the incapability of this model to simulate aqueous phase composition due to the simplicity of the thermodynamic framework, which all activity coefficients and fugacity are assumed to be unity.
Effect of temperature on carbamate formation and dissociation is demonstrated in Fig. 7. Distribution of carbamate during CO2 absorption in 30% aqueous MEA is not affected in the scope of temperature in this study. Growth of carbamate reaches maximum around half molar (CO2 loading between 0.5 and 0.6 mol mol−1) and then decreases with increased CO2 dissolved in the solution. Marginally lower amount of carbamate ions were detected when temperature is raised. This observation is in agreement with speciation data obtained by NMR spectroscopy.38,39
Footnote |
† Electronic supplementary information (ESI) available. See DOI: 10.1039/c5ra22926j |
This journal is © The Royal Society of Chemistry 2016 |