178 The Material Balance for Chemical Reactors Exercise 4.5: Dynamic CSTR ACSTR is used to convert A to products B and C via the following liquid-phase reaction AB+C The reaction is

first order in A and irreversihle. The tank initially is charged with species A at concentration CA. At time zero, the feed pump is turned on and delivers constant flowrate, Q. The feed concentration of A is Caf, which is also constant. The tank volume is VR. Liquid density change due to reaction may be neglected. (a) Write down and solve the dynamic material balance for component A. (b) Sketch the solution, CA(t) versus t, for the tank initially filled with sol- vent, CA = 0. On the same plot, sketch the solution for the tank initially filled with feed, CA = CAS. Clearly label on your plot the initial and steady-state concentrations for both curves. (c) For a 50 m³ tank with flowrate of 7 1./s and rate constant k = 0.02 min-¹, what is the steady-state conversion of A?