$5.$ Complete the derivation of performance equations for a continuously stirred tank reactor $($CSTR$)$ assuming zero$-$order reaction kinetics and assuming second$-$order reaction kinetics, as shown in slide $21$ of Lecture C$.$ Start from a pollutant mass balance. Derive the general performance equation for a CSTR$.$ Use the general performance equation to derive the performance equations for zero$-$order and second$-$order CSTRs $($two performance equations for each reaction order$).$