Chapter 10: Catalysis and Catalytic Reactors
Surface reaction limiting
\( r_S = r_{CO2} = k_S C_{CO \cdot S} C_{NO \cdot S} \)
\(\frac{r_{ADCO}}{k_{CO}} \approx 0 \)
\( C_{CO \cdot S} = K_{CO} P_{CO} C_V \)
\(\frac{r_{ADNO}}{k_{NO}} \approx 0 \)
\( C_{NO \cdot S} = K_{NO} P_{NO} C_V \)
\(\frac{r_{DN2}}{k_{DN2}} \approx 0 = \left[ C_{N \cdot S} - \frac{P_{N2}^{1/2} C_V}{K_D} \right] \Rightarrow C_{N \cdot S} = K_{N2} P_{N2}^{1/2} C_V \)
\( C_{N \cdot S} = C_V K_{N2} \sqrt{P_{N2}} \)
\( r_S = k_S K_{CO} K_{NO} P_{NO} P_{CO} C_V^2 \)
\( C_T = C_V + C_{N \cdot S} + C_{NO \cdot S} + C_{CO \cdot S} \)
\( C_V = \frac{C_T}{1 + K_{NO} P_{NO} + K_{CO} P_{CO} + K_{N2} \sqrt{P_{N2}}} \)
neglect, because \( K_{N2} \) is very small (i.e., \( N_2 \) is weakly adsorbed)
\(-r_{CO} = r_S = \frac{k_S C_T^2 K_{NO} K_{CO} P_{NO} P_{CO}}{(1 + K_{NO} P_{NO} + K_{CO} P_{CO})^2} \)