Gas Absorption with a Rapid Chemical Reaction

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A gas species, , is absorbed by a solvent,
, containing a solute,
. The gas-liquid interface is at
. Assume that the liquid phase concentration of
at
is equal to 1 gmol/liter. The concentration of species
in the solvent at
is chosen to be equal to 4 gmol/liter. An instantaneous irreversible chemical reaction takes place between
and
(
). The species
,
, and
are present in low concentrations and Fick's second law applies. The diffusivities of species
and
in
are taken to be
and
, respectively. Because the chemical reaction between
and
is considered as instantaneous, there is an interface parallel to the plane
where neither
nor
is present. The position of this interface increases with time as
is used up by the chemical reaction. This Demonstration displays the position of this interface and the concentration of species
and
(shown in red and blue, respectively). The computations of the interface position and the species concentrations are based on an analytical solution derived by Bird et al. (see reference below for details).
Contributed by: Housam Binous (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
R. B. Bird, W. E. Stewart and E. N. Lightfoot, Transport Phenomena, New York: Wiley, 1960.
Permanent Citation
"Gas Absorption with a Rapid Chemical Reaction"
http://demonstrations.wolfram.com/GasAbsorptionWithARapidChemicalReaction/
Wolfram Demonstrations Project
Published: March 7 2011