Determination of the controlling resistance

Input(s)

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

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

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

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

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

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

DAB\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{B}}: Diffusivity in the Liquid Phase (cm2/s)\left(\mathrm{cm}^{2} / \mathrm{s}\right)

DAC\boldsymbol{D}_{\boldsymbol{A} \boldsymbol{C}}: Diffusivity in the Gas Phase (cm2/s)\left(\mathrm{cm}^{2} / \mathrm{s}\right)

Output(s)

m\mathrm{m}: Slope (dimensionless)

R: Resistance (ohm)

Formula(s)

m=SM/xaSoR=m(clcg)((DABDAC)0.5)\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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