Abstract
In this paper we derive recurrence relations that describe how the equilibrium mean of the number molecules of a reactant varies with each of the parameters defining the initial state for four basic reversible chemical reactions. In essence, the relations provide a rationale for updating the equilibrium mean following the addition (or removal) of a molecule of one of the types involved in the reaction, there being a relation for each type. With a new parameterization introduced for each reaction, the relations provide a convenient means of evaluating the means, variances and other important moments without any need to work out the underlying distributions. As an application, the relations are used to numerically assess-approximate expressions for the means and variances.
Recommended Citation
Elsheikh, E.K.
(1997)
Recurrence Relations for the Equilibrium Means of Distributions Arising in Chemical Reactions,
Sultan Qaboos University Journal For Science: Vol. 2:
Iss.
1, 77-85.
DOI: https://doi.org/10.24200/squjs.vol2iss0pp77-85
Available at:
https://squjs.squ.edu.om/squjs/vol2/iss1/2