Page 313 - Corrosion Engineering Principles and Practice
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284    C h a p t e r   8                                                                                                           C o r r o s i o n   b y   W a t e r    285


                        hundredfold. Knowing that the level of Ca  ions in seawater is 0.01 molal and
                                                      2+
                        that the diffuse layer is approximately 5 mm thick, calculate:
                        a)     The current density that would be required to force the precipitation of
                           insoluble aragonite onto the steel close to the water line.
                        Answer
                        One has to use Eq.  in which n = 2, F = 96485, D = 5 × 10  cm  s , and δ = 5 ×
                                                                 −5
                                                                    2
                                                                      −1
                          −4
                        10  cm.
                                          2−
                        The concentration of CO  ions C can be obtained with the solubility product of
                                         3
                        aragonite K  described in Eq. (8.12).
                                sp
                               K    6.7 ×  10 -7
                                                      5
                                                                      -8
                       C   2− =  sp  =       =  6.7 ×  10 mol kg − 1  =  6.7 ×  10 mol cm − 3
                                                     −
                                                         l
                         CO 3  C Ca 2+  0.01
                        Hence the limiting current density when the concentration of carbonate ions
                                                                            −2
                        is high enough to precipitate with the calcium ions is 1.29 10  A cm  or
                                                                       −3
                        1.29 mA cm −2
                        b)     The  number  of  sacrificial  anodes/m   required  to  provide  this  initial
                                                       2
                           protective current.
                        Answer
                        For a 1 m  surface the required current would be 10 000 × 1.29 × 10  A = 12.93 A
                               2
                                                                      −3
                        Each anode provides 1.817 A
                        The number of anodes required is therefore = 12.93/1.817 = 7.1 anodes
                        c)     What would be the impact on the current density requirements of attempting
                           to deposit aragonite in an agitated sea?
                        Answer
                        Agitation would force the limiting current to increase and the number of anodes
                        to do the same.
                        Question 4:  Calculate the current density required to precipitate aragonite at the
                        bottom of the pillar. Assume that the K  of aragonite has not changed.
                                                   sp
                        Answer
                        Only the diffusion coefficient for the carbonate ions would change.
                        Since D /D 25°C  = 0.355
                             t
                        The new limiting current density would therefore be 1.29 × 0.0355 = 0.459 mA cm .
                                                                              −2
                      8.3.2  Treated Waters
                      Potable Water
                      Potable water is fresh water that is sanitized with oxidizing biocides
                      such  as  chlorine  or  ozone  to  kill  bacteria  and  make  it  safe  for
                      drinking purposes. In general, this is done by public water utilities
                      that are responsible for the treatment and distribution of water to
                      communities. Although in developed countries less than 1 percent
                      of potable water is consumed, all water delivered to homes for food
                      preparation,  bathing,  washing,  watering  gardens,  heating,  and
                      cooling is treated to potable standards.
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