Classical, phenomenological analysis of the kinetics of reactions at the gas-exposed surface of mixed ionic electronic conductors

Unfortunately, there were several errors published in Eq.  22. The correct version is:

$$ r_{3} = k^{0}_{3} {\left[ {\frac{{c_{v} \theta }} {{c_{{v,0}} \theta _{0} }}{\text{exp}}{\left( {\frac{{\alpha _{3} F\Delta \chi }} {{RT}}} \right)} - \frac{{c_{h} {\left( {1 - \theta } \right)}}} {{c_{{h,0}} {\left( {1 - \theta _{0} } \right)}}}{\text{exp}}{\left( {\frac{{ - {\left( {1 - \alpha _{3} } \right)}F\Delta \chi }} {{RT}}} \right)}} \right]} $$

(22)