Diffusion Limited Metallurgical Extraction From Ground Ore Particles

Both hydrometallurgical and vapometallurgical processes often involve ores that have been previously ground and size classified. When the valuable mineral is substantially liberated, the chemical reaction is likely to occur on the particle surface and the particle core will shrink as the reaction proceeds. If the chemical reaction products are solid materials then a solid shell, usually porous, will form around the shrinking core. This is known as the core/shell or topochemical reaction model. Using a spherical approximation for the particles, equations have been developed to express the extent of chemical conversion of the particle, depending on which one of the following process or mass transport steps is rate controlling:1 (1) chemical reaction at the particle surface, (2) diffusion through the thickening reaction product shell or (3) mass transport through a boundary layer surrounding the particle. In a previous paper2 these equations were coupled with the Gates -Gaudin-Schuhmann equation 3 4 describing the distribution of particle sizes resulting from comminution of rocks and other brittle solids to develop reaction yield curves expressing the weight fraction of metal or other valuable component of the feed that was chemically converted as a function of residence time. This was done for (a) batch, (b) continuous plug flow and (c) continuous back-mix flow (continuous stirred tank) reactors or process vessels. To make the curves of general rather than special utility, the residence time (average residence time for back-mix reactors) was normalized to a dimensionless time by dividing by the time required to completely chemically convert the largest particle in the feed to reac-