Download PDF by P. Meares (auth.), Privat-Dozent Dr. Ulrich Zimmermann,: Membrane Transport in Plants

By P. Meares (auth.), Privat-Dozent Dr. Ulrich Zimmermann, Professor Dr. Jack Dainty (eds.)

ISBN-10: 3642659861

ISBN-13: 9783642659867

ISBN-10: 3642659888

ISBN-13: 9783642659881

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By P. Meares (auth.), Privat-Dozent Dr. Ulrich Zimmermann, Professor Dr. Jack Dainty (eds.)

ISBN-10: 3642659861

ISBN-13: 9783642659867

ISBN-10: 3642659888

ISBN-13: 9783642659881

Show description

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Introduction The Nernst-Planck equations describe the flux of ions in solutions which exhibit gradients of chemical and electrical potential. They are well known to electrochemists and also to those who study the movement of ions in exchange resins, in membranes and in some other electrolytic systems. These equations have been useful in successfully explaining a variety of phenomena. Yet we could not find in the pertinent literature solutions of these equations dealing explicitly with time-dependent processes (except LONGSWORTH, 1943; KOBOTAKE and FUJITA, 1964).

3) The transference number varies in a non-linear fashion with concentration. In this case the peak departs from a Gaussian form and becomes skewed. Th is effect depends on the direction of the current. The system H 2 0 + Cdl 2 exhibits such behaviour. A general solution of Eq. (6) has been found (SCHONERT, 1974). The agreement between observed and calculated c(x,t) is within the limits of experimental error. In a cell of finite length the concentration changes in the electrode compartments and the middle compartment overlap after some time and the resulting steady state is reached with a relaxation time which is, according to Eq.

11) yields: E {3 = -(aa+a + (a~ - a~) (t~ - t~)) i3 e+ (wa+w ) n {3" jy (15) n For the type of membranes we have used, we can neglect the contribution of the stream ing potential (aa + a{3) to the active EMF. The transference numbers have a value between 0 and 1, thus their difference has at the most the value 1, if we use an ideal cation and an ideal anion exchange membrane to compose our sandwich membrane. We must modify the simple membrane system in order to fit the theory to the experiments.

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Membrane Transport in Plants by P. Meares (auth.), Privat-Dozent Dr. Ulrich Zimmermann, Professor Dr. Jack Dainty (eds.)


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