Abstract
An attempt made to intreduce particle size distribution (PSD) into Carter's equation on solid-state reaction kinetics is herein reported. The PSD introduced into this equation is described as follows: the solid particles to participate in solid-state reaction are sorted into groups n in number, each group consisting of particles of particular size range, and the sizes in each group being arranged in geometrical series. By thus introducing the PSD system into Carter's equations for the n-numberd groups, it is found possible to apply the over-all reacted fraction determined by quantative analysis mathematically to the reacted fractions for each group. Carter's equation modified as above by the introduction of the PSD system has then been applied to the analysis of the reaction The measurements of PSD with the use of ZrO2 and the chemical determination of the over- all reacted fraction as a function of reaction time and temperature have recorded about 100kcal per mole as an activation energy for the reaction.
