Japan Journal of Food Engineering
Online ISSN : 1884-5924
Print ISSN : 1345-7942
ISSN-L : 1345-7942
Kinetics of Observable with Power-law Mixing Rule in the First-order Reaction Process
Hisashi YAMAMOTO
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2006 Volume 7 Issue 4 Pages 245-248

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Abstract

A theoretical analysis was given for the kinetics of an observable in general first-order reaction process (R→P) . It was assumed that reaction degree x≡ [P] / ( [R] + [P] ) obeyed a first-order reaction rate equation and that the observable o of sample during reaction was related with reaction degree through the mixing rule of a power-law type oν= (1-x) oνR+xoνP where oR and oP represent the values of observable, being proper to the reactant and the product respectively (oR<oP) . It was demonstrated for ν<1 that an observable-time curve could possess an inflection point at o*= (1-ν) 1/ν oP with the maximum growth rate do/dt= (1-ν) 1/ν-1oPK1. These results coincide in the ν→0 limit with those obtained for a logarithmic (ln o) mixing rule.

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