4U,Us,L URTD, () - where v, = molar volume of the crystals; o, = interfacial tension; v = number of ions/molecule of solute; and c/c,: In supersaturation ratio = S.
The Kelvin equation, predicts that solubility increases to 1 as the crystal diameter decreases to 0. However, measurements by L. Harbury for several inorganic salts in water show a maximum in the solubility curve and a solubility that approaches 0 as crystal size is reduced to 0. Harbury’s explanation is that the surface energy of the crystals depends not only on interfacial tension, but also on surface electrical charge, given by 2q2 υs/ πkRTD4p where q=electrical charge on the crystal, and k =dielectric constant. Modify equation to take into account electrical charge. Make sure your equation predicts a maximum
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