Here,
we have demonstrated that the recently developed extended
rate constant distribution (RCD) model for sorption on heterogeneous
sorbents can be applied to predict the column behavior of the sorbents
using parameters determined from the sorption kinetics in batch. The
suggested approach has been validated on the batch and fixed-bed experimental
data of Cu(II), Cd(II), and
Zn(II) ion sorption on a polyethyleneimine (PEI) cryogel. Although
the average sorption rate constants decreased in the order Cu(II)
> Zn(II) > Cd(II), “fast” and “slow”
sorption
centers with different affinities have been identified for all investigated
ions. This explained why, depending on the experimental conditions
(flow rate and metal ion concentrations), one or another ion from
the mixture can adsorb preferentially on PEI in fixed-bed applications,
while at long equilibration time, the ratio between adsorbed metal
ions was determined by the sorbent affinity. We have also shown that
sorption rate constants for the PEI cryogel determined from the batch
data were ∼0.6 log units lower than those determined from fixed-bed
experiments that proved higher sorption efficiency for this type of
sorbent under dynamic conditions. The column efficiency coefficient
introduced to the RCD model for the fixed-bed application allowed
us to reveal intrinsic and operational defects in soft monolith sorbents
materials, which originated from imperfection of fabrication or destruction
of the porous structure at high flow rates, respectively.