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                                          DESIGN INFORMATION AND DATA
                                          8.13. SURFACE TENSION
                   It is usually difficult to find experimental values for surface tension for any but the more
                   commonly used liquids. A useful compilation of experimental values is that by Jasper
                   (1972), which covers over 2000 pure liquids. Othmer et al. (1968) give a nomograph
                   covering about 100 compounds.
                     If reliable values of the liquid and vapour density are available, the surface tension can
                   be estimated from the Sugden parachor; which can be estimated by a group contribution
                   method, Sugden (1924).
                                                             4
                                                 P ch    L     v     12

                                              D               ð 10                       8.23
                                                     M
                                               2
                   where   D surface tension, mJ/m (dyne/cm),
                       P ch D Sugden’s parachor,
                                              3
                          L D liquid density, kg/m ,
                                                            3
                          v D density of the saturated vapour, kg/m ,
                        M D molecular mass.
                    ,   L ,   v evaluated at the system temperature.
                     The vapour density can be neglected when it is small compared with the liquid density.
                     The parachor can be calculated using the group contributions given in Table 8.7. The
                   method is illustrated in Example 8.13.


                           Table 8.7.  Contribution to Sugdens’s parachor for organic compounds (Sugden, 1924)
                         Atom, group or bond  Contribution  Atom, group or bond  Contribution
                         C                     4.8       Si                       25.0
                         H                    17.1       Al                       38.6
                         H in (OH)            11.3       Sn                       57.9
                         O                    20.0       As                       50.1
                         O 2 in esters, acids  60.0      Double bond: terminal
                         N                    12.5                 2,3-position   23.2
                         S                    48.2                 3,4-position
                         P                    37.7       Triple bond              46.6
                         F                    25.7       Rings
                         Cl                   54.3                 3-membered     16.7
                         Br                   68.0                 4-membered     11.6
                         I                    91.0                 5-membered      8.5
                         Se                   62.5                 6-membered      6.1



                   8.13.1. Mixtures
                   The surface tension of a mixture is rarely a simple function of composition. However,
                   for hydrocarbons a rough value can be calculated by assuming a linear relationship.

                                                  m D   1 x 1 C   2 x 2 .. .             8.24
                   where   m D surface tension of mixture,
                        1 ,  2 D surface tension of components,
                      x 1 ,x 2 D component mol fractions.
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