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376                                        12  Carbon Capture and Storage

            without functional groups can be used as physical sorbent for CO 2 capture. ILs
            prepared with specific function groups enable selective gas absorption. Amine
            functional groups have been used effective CO 2 chemical absorption.
              After CO 2 sorption, the used ILs can be regenerated by heating the spent solvent
            to release the absorbed gas(es). Since regeneration usually takes place at a higher
            temperature than the sorption stage, thermal stability is a key factor in selecting the
            right ILs.



            12.6.4.1 CO 2 Solubility in Physical Ionic Liquids

            Earlier research on CO 2 capture with ILs focused primarily on physical absorption
            without chemical reactions. In this section we concentrate on properties that affect
            the CO 2 physical absorption including CO 2 solubility and selectivity.
              The actual mechanisms behind the high CO 2 solubility in IL are still not well
            understood [49]. Scientists and engineers are actively working on understanding
            and increasing the solubility of CO 2 in ILs. A review of the different approaches
            that have been used to model the phase behavior of gas-IL systems is provided by
            Vega et al. [55]. Molecular simulation and experimental data have shown that anion
            and cation play an important role in the dissolution of CO 2 [6, 11]. Most researchers
            agree that the anion dominates the solubility of CO 2 in an IL and that the cation
            plays a secondary role. Nonetheless, anion-fluorination and cation-fluorination can
            improve the solubility much [3].
              CO 2 solubility in ILs increases with increasing molecular weight, molar volume,
            and the free volume of ILs. CO 2 solubility in ILs is dominated by entropic effects
            rather than solute–solvent interactions [12]. As such, it cannot be calculated based
            on mole fraction (like in Henry’s law or Raoult’s law in Sect. 2.3) because of the
            strong molecular weight (molar volume) of ILs. It should be determined as a
            function of molality, that is, the mole amount of solubility per kilogram of solvent
            (mole CO 2 /kg IL).
              Before more sound theories are available, we can use the following empirical
            correlation proposed by Carvalho and Coutinho [12] to calculate the CO 2 solubility
            in ILs by physical absorption:


                                                    2004:3
                                    0
                               P ¼ m   exp 6:8591                       ð12:60Þ
                                    i
                                                      T
                   0
            where m is the molality in (mole of CO 2 /kg of IL), P is the pressure in MPa, and T
                   i
            is temperature in K. This equation was obtained using experimental data and is
            deemed valid for pressures up to 5 MPa, molalities up to 3 mol/kg, and tempera-
            tures ranging from room temperature to 363 K. Figure 12.7 shows the calculated
            solubility versus pressure at three different temperatures. For a fixed temperature,
            the solubility is in linear relationship with the pressure.
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