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A mathematical model based on classical species balance equation has beendeveloped to explain the experimental observation on E.Coli cell-killing in abatch reactor and to extract information on cell-killing mechanism. Maximumlikelihood optimization method has been used to obtain the best fit to theexperimental data to extract ten unknown kinetic and thermodynamic parameters,which is otherwise practically impossible. Bacteria killing kinetics is foundto be dominated by contact killing mechanism with approximately one orderdifference between contact-and bulk-killing kinetics. The order of Ag-bacteriainteraction is highly non-linear and thus the interaction is highly complex inmanner. Concentration of Ag on the outer surface of AC controls the kinetics ofbacteria killing. Mechanism of release of Ag from the inner surface of poresdoes has minimal impact on the bacteria killing kinetics. Activity of silverseems to remain preserved after cell killing and the surface concentration ofAg used in the experiment is so high that bacteria killing kinetics isindependent of whether Ag remains active or not.

Mechanism and kinetics of bacteria-killing in a batch study in presence of Ag impregnated activated carbon