The rate of decomposition of A is given by
rA = - k C/(1+KC)2, k= 10min-1 and K = 10 mol/cm3, and C= concentration of A The reaction is to take place in a perfectly mixed reactor. a. Show that there is a possibility for multiple steady states when this reaction is carried out in a CSTR.
b. The concentration of A in the feed is to be 1.5 mol/cm3 and conversion at the exit is to be 80%. What should be the average residence time? (Use a graphical method to solve the problem).
b. For the Q/V you calculated in part A and the same CAf (i.e.1.5 mol/cm3), find the possible steady states by plotting the net input rate (f1) , net disappearance rate (f2) and accumulation rate (f) on the same figure.
c. What is the range of the initial concentrations that will guarantee the desired steady state
d. Find the unstable steady state concentration and demonstrate its instability by making a
±5 % perturbation around it. This implies that you will have to solve the transient mass
balance equation for two different initial conditions . For each one of the cases, plot the
concentration, the net input, net disappearance rate and accumulation rate of A as a
function of time.
Can anyone solve this: Consider the reaction A -->C + D; this first order reaction is carried out in a batch reactor. What should be the conversion of A if we wish to maximize the overall productivity of C. Define any terms or parameters you may need. (Overall productivity = Number of moles of C produced /batch time which includes reaction time and down time).