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 ys/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.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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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 ys/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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