3.1 Performance / Design Equations

\[\begin{align*} \ & \text{Batch Reactor (BR):} & \frac{t_R}{N_{A0}} &= \int_0^{X_A}\frac{dX_A}{-r_AV} \\\\ \ & \text{Mixed Flow Reactor (MFR):} \qquad & \frac{V}{F_{A0}} &= \frac{\tau}{C_{A0}} = \frac{X_A}{-r_A} \\\\ \ & \text{Plug Flow Reactor (PFR):} \qquad & \frac{V}{F_{A0}} &= \frac{\tau}{C_{A0}} = \int_{0}^{X_A}\frac{dX_A}{-r_A}\end{align*}\]