3. You are asked to select and size reactors to carry out an isothermal liquid-p

Question

3. You are asked to select and size reactors to carry out an isothermal liquid-phase, irreversible reaction A-->B with the following kinetics:

-rA = k(CA)n [where n=1 and with k = 0.10 min-1]

a.  Starting with a mole balance (& assumptions), calculate the time it would take for a batch reactor to process your feed to achieve 90% conversion.

b.  Starting with a mole balance (& assumptions), calculate the residence time (reactor volume/flow rate through reactor) it would take a steady-state plug-flow reactor to process your feed to achieve 90 % conversion.

c.  Compare your results in a) and b) and explain why they are the same in a single sentence physically.

d.  Starting with a mole balance (& assumptions), calculate the volume it would take for a steady-state continuously-stirred tank reactor (CSTR) to process your feed to achieve 90% conversion.

e.  Compare your answer in d) to the residence time you would expect from b); which reactor will you use and why? Which reactor yields the higher conversion, given the same residence time?

f.  If the given reaction exhibited negative first order kinetic behavior (i.e. n=-1) instead, how does this influence your decision in e) and why? Please redo your calculations for this case comparing steady-state plug flow reactor and CSTR for n = -1. Which reactor yields the higher conversion, given the same residence time?

g.  If the given reaction exhibited zero order kinetic behavior (i.e. n=0) instead, how does this influence your decision in e) and why? Please redo your calculations for this case comparing steady-state plug flow reactor and CSTR for n = 0. Explain your conclusion physically in a single sentence.

Explanation / Answer

a-t=Nao dx /-raV = 100x 90/0.10= 900000min

b- t=Vr/Qf=900000min

c-yes

d-Vr= Qf xA/k(1-xA)=Qf x.9/0.1x.1= 90Qf

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