Page 20 - 81Sulfonation-Sulfation Processing Technology for Anionic Surfactant Manufacture_opt
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Sulfonation/Sulfation Processing Technology for Anionic Surfactant Manufacture   287

            Battaglini et al., 1986; Schambil & Schwuger, 1990). The progress of the reaction is decisive
            for sulfonation degree expressed as amount active matter.

            Physicals and chemicals properties used in model are listed in Table 5.

                             Parameters                          Correlation
                                                          r   kC SO  C ME                                (22)
             Kinetic in sulfonator, kmol/m 3 s  (Torres et al.,   3
                                                                        14.350 
             2008a)                                                19     
                                                               
                                                         k   1,14 10 e    T                      (23)
                                                         D SME-ME =  3,12 10   11 T L                  (24)
                                                                            L 2/3
                                                                             L
             Diffusivity, m 2 /s (Wilke & Chang, 1955)   D ME-SME =  6,288 10   11 T 2/3              (25)
                                                                             L
                                                         D SO3=  2,031 10   10  T L  2/3            (26)
                                                                         1000 L
             Gas thermal conductivity, J/msK (Davis et al.,       k G = 0,0279
             1979)
             Heat capacity of liquid, J/kmolK (Broström, 1975;   c L = 507,300 + 101,010x               (27)
             Reid et al., 1987)
             Heat capacity of gas mix, J/kmolK (Same at           c G = 29,82
             nitrogen)
             Liquid mixture density, kg/m 3 (Talens &     ρ L = 980 + 192x – 0,66T L              (28)
             Gutiérrez, 1995; Broström, 1975)
             Liquid thermal conductivity, J/msK (Davis et al.,
             1979)                                                k L = 0,276
             Surface tension, N/m (de Groot, 1991)                  = 0,046
             Viscosity of methyl esters mix, kg/ms (Torres &          1949,6
             Sánchez, 2008)                                 ME =  8 10 e   6  273 T  L                      (29)
             Viscosity of methyl esters sulfonic acid, kg/ms            5700
                                                                  
             (Talens & Gutiérrez, 1995)                   SME    1,36 10  8  e  L T   5,88                (30)
             Viscosity of gas mix, kg/ms (Same at nitrogen)        G = 1,910 -5
                                                          a) 0< x ≤ 0,25:                               (31)
                                                                           2980
                                                               L  2,72 10  6  e  L T  3,86x
                                                                    
                                                          b) 0,25 < x ≤ 0,6:                           (32)
             Viscosity of liquid mix, kg/ms (Broström, 1975;            4850
             Talens & Gutiérrez, 1995)                              9  L T  1,035x
                                                             L  3,7 10  e    0,003
                                                                
                                                          c) 0,6 < x < 1:                                (33)
                                                                        4850
                                                             L  3,7 10  9  e  L T  5,22x    0,003
                                                                
             All thermal conductivity, J/msK (Davis et al., 1979)  k w = 16,3
            Table 5. Correlation to estimate heat and mass transfer coefficients and properties of organic
            liquid and gas mixture (Torres & Sánchez, 2009)





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