Chapter 5: Isothermal Reactor Design: Conversion

Combine:

\(-r_A = kC_A^2 = k \left( \frac{C_{A0}(1 - X)}{(1 + \epsilon X)} \frac{P}{P_0} \right)^2 \)

\(\frac{dX}{dW} = \frac{-r_A'}{F_{A0}} = k \frac{C_{A0}^2 (1 - X)^2}{F_{A0}(1 + \epsilon X)^2} \left( \frac{P}{P_0} \right)^2 \)

\(\frac{dX}{dW} = k \frac{C_{A0}^2 (1 - X)^2}{F_{A0}(1 + \epsilon X)^2} \left( \frac{P}{P_0} \right)^2 \)