Since batch reactors have no in or out flows, F<sub>j0</sub> and F<sub>j</sub> are both equal to 0. If the reactor is assumed to be [[well mixed]], then there are no spacial variations of r<sub>j</sub> (in other words, r<sub>j</sub> is a constant and can be taken outside of the [[integral]]. Thus, the design equation for a batch reactor is
+
Since batch reactors have no in or out flows, F<sub>j0</sub> and F<sub>j</sub> are both equal to 0. If the reactor is assumed to be [[Perfect Mixing|perfectly mixed]], then there are no spacial variations of r<sub>j</sub> (in other words, r<sub>j</sub> is a constant and can be taken outside of the [[integral]]. Thus, the design equation for a batch reactor is