
%0 Journal Article
%A Bosworth, RCL 
%A Groden, CM 
%T The Effect of Residence Time Distribution on the Rate of Advancement of the Reaction
%J Australian Journal of Chemistry
%D 1962/09/01
%V 15
%N 3
%P 443-452
%K 
%R https://doi.org/10.1071/CH9620443
%U https://www.publish.csiro.au/paper/CH9620443 
%X In any form of continuous reactor the different reagent molecules spend different residence times in the reacting zone. The degree to which a reaction advances after a lapse of nominal residence time may be somewhat different from that expected from classical (micro) kinetics and the known order of the reaction. If the reaction mixture passes laminarly through a reasonably large cylindrical reactor-one in which intermolecular diffusion is negligible-the effective measure of the advancement of the reaction in terms of the residual concentration of the reagent - measured (i) as an actual distributed system C and (ii) as an idealized system in which all molecules spend an equal tlme of residence Cm. may be expressed by the equation: Equation (29) where n is order of reaction, S=knC0n-1&#964;0, and &#964;0 is the minimal time of residence (time for the central core). Equation (29) becomes meaningless when n=1 and is replaced by Equation (30) The ratio C/Cm increases as S increases; the increase, however, is the less pronounced the higher the value of n. If the mixture passes through a mixed tank reactor advancement of the degree of the reaction is measured by a function given by Metzner and Pigford. For a second order of reaction a correct treatment can only be carried out if a distinction is made between the square on the mean concentration and the mean of the square concentration. 
