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Membrane technology  63

            where Alk represents the molar bicarbonate concentration or alkalinity. In this
            equation the term pHs represents the pH  at which the water is in equilibrium
            with calcium carbonate, and is thus sometimes referred to as the saturation pH.
            The value of (pK2  - pK,) is dependent on temperature and ionic strength.
              The Langelier Saturation Index is defined as:
                LSI = pH - pHs                                             (2.38)


            where pH is the actual measured pH of the water and pH, is the calculated value.
            The  LSI  effectively  measures  the  degree  to  which  the  water  is  either
            supersaturated  or  undersaturated  with  calcium  carbonate,  and  thus  its
            propensity for forming scale (ASTM  D3 739). A negative LSI indicates a corrosive
            water that will dissolve calcium carbonate scale and a positive LSI indicates a
            scale-forming  one. The LSI  is  widely  used  and there are several  nomograms
            available for rapid calculation (Fig. 2.2 5).
              Whilst the LSI is a good predictor of scaling it is a bit unreliable in the range -1
            to  +1 and  gives no  indication  of  the relative  scaling  potential.  The  Ryznar
            Stability Index gives more quantifiable results and is defined as follows:

                Example                      rTDS  constant, C










                pCa   =2 10






















                                   Ca -concentration,  calculated as Ca CO,

                               Figure 2.25  Langelier Scaling Index nomogram
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