Journal of the Electrochemical Society, Vol.141, No.9, 2416-2421, 1994
Mathematical-Model of the Anodic-Oxidation of Lead
The Plante method for forming the lead dioxide electrode represents one of the oldest known electrochemical processes, yet there remain gaps in our understanding of the mechanisms involved. Several mechanistic explanations have been presented which provide a framework for understanding these processes. Notable among these are the efforts of Reutschi, Pavlov, Lazarides, and Hampson, and Valeriote and their co-workers. One key element of their models is the existence of regions of high pH within the anodized layer on the lead surface. These varying pH conditions are explained by inhibited mass transfer of liquid-phase species. In this paper, the various models are assimilated, and a mathematical model of liquid-phase mass transfer in the anodized layer is presented. This model is solved for conditions both with and without the lead-solubilizing species (perchlorate) present. Solutions to the model without perchlorate present show that, within an idealized pore in the anodized region, sharp increases in pH occur at the solid/liquid interface, and that at that point sulfate ions are depleted and alkaline conditions can exist. At this interface, the ionic strength of the solution drops to a minimum. With perchlorate present, the minimum in ionic strength occurs away from the interface and moves farther out with time. These model predictions lend support for the theories that inhibited mass transfer leads to regions of high pH as well as conditions of low ionic strength, where electrolysis of water and hence OH- production can occur.
Keywords:ACIDIC SULFATE ELECTROLYTES;POTENTIOSTATIC OXIDATION;SULFURIC-ACID;DISSOLUTION;GROWTH;FILMS;IRON