Gas absorption with rapid reaction

Input(s)

c: Concentration $\left(\mathrm{mol} / \mathrm{cm}^{3}\right)$

$\gamma$: Adiabatic Constant (dimensionless)

$D_{A S}$: Diffusivity $\left(\mathrm{cm}^{2} / \mathrm{s}\right)$

$\mathrm{t}$: Time $(\mathrm{s})$

Output(s)

$N_{A Z O}$: Rate of Absorption (cc/s)

Formula(s)

$$ \mathrm{N}_{\mathrm{AZO}}=\left(\frac{\mathrm{c}}{\operatorname{erf}\left(\frac{\gamma}{\mathrm{D}_{\mathrm{AS}}}\right)^{0.5}}\right) *\left(\left(\frac{\mathrm{D}_{\mathrm{AS}}}{\pi * \mathrm{t}}\right)^{0.5}\right) $$

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley \& Sons, Chapter: 20, Page: 618.