Determination of the controlling resistance

Input(s)

S: Solubility \((\mathrm{mol} / \mathrm{cc})\)

M: Mass \((\mathrm{g})\)

\(\boldsymbol{x}_{\boldsymbol{a}}\): Partial Pressure \((\mathrm{kPa})\)

\(S_{o}\): Solubility at NTP \((\mathrm{mol} / \mathrm{cc})\)

\(c_{l}\): Concentration of Liquid \((\mathrm{g} \mathrm{mol} / \mathrm{cc})\)

\(c_{g}\): Concentration of \(\mathrm{Gas}(\mathrm{g} \mathrm{mol} / \mathrm{cc})\)

\(\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}\): Diffusivity in the Liquid Phase \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)

\(\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{C}}\): Diffusivity in the Gas Phase \(\left(\mathrm{cm}^{2} / \mathrm{s}\right)\)

Output(s)

\(\mathrm{m}\): Slope (dimensionless)

R: Resistance (ohm)

Formula(s)

\[ \begin{gathered} m=\frac{S}{M} / \frac{x_{a}}{S_{o}} \\ R=m *\left(\frac{c_{l}}{c_{g}}\right) *\left(\left(\frac{D_{A B}}{D_{A C}}\right)^{0.5}\right) \end{gathered} \]

Reference(s)

Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (2002). Transport Phenomena (Second Ed.). John Wiley & Sons, Chapter: 22, Page: 691.


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