Solution Exercise 5

If SIcalcite = 0.36 = log IAP − log⁡ Ksp       and       log IAP = SI + log⁡ Ksp

then,       [latex]\displaystyle 0.36-8.48=\mathrm{log}\left ( a_{Ca^{2+}}\ a_{CO_{3}^{2-}} \right )=-8.12[/latex]

and [latex]\displaystyle \mathrm{log}\left ( a_{Ca^{2+}} \right )=-8.12-\mathrm{log}\left ( a_{CO_{3}^{2-}} \right )=-8.12+4.61=-3.51[/latex]

hence, [latex]\displaystyle \mathrm{log}\left ( a_{Ca^{2+}} \right )\left ( a_{F^{-}} \right )^{2}=-3.51+2(-3.57)=-10.65[/latex]

and SI = −0.05 thus fluorite is essentially at solubility equilibrium

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