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5.2 Absorption                                                  145

              A common and relatively simple procedure for estimating flooding velocity and
            minimum column diameter is to use a generalized flooding and pressure drop
            correlation. One version of the flooding and pressure drop relationship for a packed
            tower is the Sherwood Chart [12]. Readers are referred to literature for in-depth
            understanding on this topic in engineering design of a packed bed wet scrubber.



            5.2.4 Chemical Absorption

            In many engineering applications, the resistance in the liquid phase mass transfer is
            reduced by converting the dissolved gas into other materials. This reduction in the
            solute concentration in the liquid allows more gases to be absorbed at a much lower
            consumption of the liquid absorbent. For example, base solvents are used for the
            capture of acidic gases. The most common acid gases include sulfur dioxide (SO 2 ),
            hydrogen chloride (HCl), and hydrogen fluoride (HF). Nitric oxides and carbon
            dioxide formed in most combustion processes are also mildly acidic. Common
            alkalis include lime, soda ash, and sodium hydroxide. Sodium hydroxide is usually
            fed in solution. One classic example is de-SO 2 by spray of limestone or sodium
            hydroxide. The alkali requirements are usually calculated based on the quantities of
            acidic gases captured and the molar ratios necessary for the corresponding chemical
            reactions.
              Consider the packed-bed wet scrubber again and assume that the fresh liquid
            solvent contains little dissolved gas of concern. At steady state, the mass transfer
            rate (in mole/s) within the liquid phase is

                                     N ¼ k x aV x i   x ss Þ             ð5:52Þ
                                             ð
                                        3
            where V the total reactor volume (m ) and aV together is the interfacial contact area
                            2
            for mass transfer (m ); x and x ss are the mole fraction of the target gas at gas–liquid
            interface and that in the bulk liquid at steady state, respectively.
              The target gas transferred into the liquid is either physically stored in the liquid
            or consumed by chemical reactions:



                                   N ¼ L    x ss  þ kx ss                ð5:53Þ
                                          1   x ss

              Again L is the mole flow rate (in mole/s) of the solute free liquid entering the
            tower. k (mole/s) is the chemical reaction coefficient corresponding to x ss . When k is
            available based on the mass concentration c ss rather than x ss , a conversion between
            units is needed. The first term on the right-hand side of Eq. (5.53) stands for amount
            of physically dissolved gas; the last term for chemically absorbed gas.
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