Gas absorption with chemical reaction in an agitated tank
Input(s)
\(\boldsymbol{k}_{\mathbf{1}}\): Diffusion Rate \((\mathrm{g} \mathrm{mol} / \mathrm{s})\)
L: Length \((\mathrm{cm})\)
\(\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)
V: Volume (cc)
S: Surface Area \(\left(\mathrm{cm}^{2}\right)\)
\(\delta\): Location of Catalytic Bed (fraction)
Output(s)
\(\emptyset\): Thiele Modulus (dimensionless)
\(\mathrm{N}\): Flux \((\mathrm{g} \mathrm{mol} / \mathrm{s})\)
Formula(s)
\[
\begin{gathered}
\varnothing=\left(\frac{\mathrm{k}_{1} *\left(\mathrm{~L}^{2}\right)}{\mathrm{D}_{\mathrm{AB}}}\right)^{0.5} \\
\mathrm{~N}=\left(\frac{\varnothing}{\sinh (\varnothing)}\right) *\left(\cosh (\varnothing)-\left(\frac{1}{\cosh (\varnothing)+\left(\frac{\mathrm{V}}{\delta * \mathrm{~S}}\right) * \emptyset * \sinh (\varnothing)}\right)\right)
\end{gathered}
\]
Reference(s)
Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 18, Page: 557.