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.