Electric Current and Ohms Law in Electrolyte Solutions

In electromembrane processes the anions move towards the anode where they are oxidized by releasing electrons to the electrode in an electrochemical reaction. Likewise, the positively charged cations move towards the cathode where they are reduced by receiving electrons from the electrode in an electrochemical reaction. Thus, the transport of ions in an electrolyte solution and ion-exchange membrane between electrodes results in a transport of electrical charges, that is, an electrical current which can be described by the same mathematical relation as the transport of electrons in a metallic conductor, that is, by Ohm s law that is given by  

U is the electrical potential between two electron sources, for example, between two electrodes, I is the electrical current between the electron sources, and R the electrical resistance. 

The resistance I is a function of the specific resistance of the material, the distance between the electron sources, and the cross-sectional area of the material through which the electric current passes. It is given by  

R is the overall resistance, p is the specific resistance, l is the length, and q the 

The reversal of the resistance and of the specific resistance, respectively, is the conductivity and the specific conductivity, thus is  

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