Consider a real tubular reactor in which dispersion is occurring.(a) For small deviations...

Consider a real tubular reactor in which dispersion is occurring.

(a) For small deviations from plug flow, show that the conversion for a first-order reaction is given approximately as

(b) Show that to achieve the same conversion, the relationship between the volume of a plug-flow reactor, Vp, and volume of a real reactor, V, in which dispersion occurs is

(c) For a Peclet number of 0.1 based on the PFR length, how much bigger than a PFR must the real reactor be to achieve the 99% conversion predicted by the PFR?

(d) For an nth-order reaction, the ratio of exit concentration for reactors of the same length has been suggested as

What do you think of this suggestion?

(e) What is the effect of dispersion on zero-order reactions?