Process Systems Analysis and Control problem 5.5

Consider the Continuous Flow Stirring Reactor (CSTR) given in Figure P5-5. The following reaction occurs in the reactor, AB The reaction rate equation is as follows. r = kC₀ r = (moles of responding A)/(volume)(hours) k = Response rate constant C₀(t) = Concentration of A in the reactor at time t (mole of A/volume) V = Volume of mixture in reactor F = feed rate of reactants , volume/time C_i(t) = Concentration of A in the feed, mole/volume (a) Assuming a constant density and a constant volume V, derive a transfer function that relates the concentration in the reactor to the concentration of the feed. (b) Write a block diagram for the reactor. (c) Graph the response of the reactor to the unit step input introduced into C_i.

P5-5