A second order liquid phase reaction, A → B, is carried out in a mixed flow reactor operated in semi batch mode (no exit stream). The reactant A at concentration CAF is fed to the reactor at a volumetric flow rate of F. The volume of the reacting mixture is V and the density of the liquid mixture is constant. The mass balance for A is_______________________?

Question

Accepted Answer

d(VCA)/dt = FCAF – kCA2V. The rate of accumulation is the net rate. This equals (Inflow - Outflow) minus the reaction rate. Since there is no exit stream, the outflow term is zero, leaving only the inflow and reaction terms.