A Criticism on Jander's Equation of Reaction-Rate, Considering the Statistical Distribution of Particle Size of Reacting Substance
Seikichi MIYAGT · Journal of the Ceramic Association Japan · 1951
In 1927, Prof. W. Jander experimented the reaction rate of solid particle and derived the following theoretical equation;(1-3√1-w)2=kt, where w was the fractions of reacted part in sold particle, t the time and k the constant.The author pointed out that Jander's equation, based on the assumption of the equal particlesize, would not hold good of actual particle that had a irregularity of particle-radus.Considering on the statistical distribution of particle-size, the author derived a new theoretical equation and criticized Jander's resalts of experiment on this point of view.The equation is1-w=∫(r-q)3f(r)dr/∫r3f(r)dr, where r is the radius of particle, f(r) the distribution function of the radius and q the thickness of reacted layer in the solid particle.