A simple and rapid method to estimate effective diffusivities (D-e) of subs
trates in bioparticles containing anaerobic sludge is proposed. The method
is based on substrate mass balances under unsteady-state conditions utilizi
ng data obtained from 'finite-bath' assays performed in an incubator shaker
. The experiments were carried out under conditions of negligible liquid-ph
ase mass transfer resistance and absence of biochemical reactions. The firs
t condition was obtained by the application of high agitation speeds. The b
iomass was inactivated with ethanol solution 50% (v/v) to reach the second
condition. Values of the effective diffusivity (D-e) of glucose, sucrose an
d acetate were obtained from the temporal variation of substrate concentrat
ion in the bulk liquid in assays utilizing alginate gel and polyurethane fo
am bioparticles. Additionally, the specific methanogenic activity technique
was used to evaluate the effectiveness of the method proposed for biomass
inactivation. The method used to estimate the substrate diffusivity coeffic
ient was found to provide suitable values of D-e for substrates at very low
concentrations. Values of D-e for glucose, sucrose and acetate in alginate
gel bioparticles were estimated as 0.58 x 10(-5), 1.06 x 10(-5) and 1.49 x
10(-5) cm(2) s(-1), respectively. The value of D-e for glucose in polyuret
hane foam particles was found to correspond to the value of glucose diffusi
on in water at infinite dilution. The method applied for cell inactivation
was found to be adequate for intraparticle mass transfer experiments, makin
g the temporary sludge inactivity long enough to avoid interference due to
biochemical reactions.