Question

How should the two MFR’s of unequal size be connected in series to maximize production for a first order homogenous reaction?

(a) Smaller MFR followed by larger MFR

(b) Larger MFR followed by smaller MFR

(c) Any arrangement

(d) MFR’s should not be connected in series

I had been asked this question in homework.

Origin of the question is Choosing of Right Reactor Series or Connections (Maximum Profitability) in section Ideal Reactors for a Single Reaction, Conversion and Reactor Sizing of Chemical Reaction Engineering

Answer 1

Correct option is (c) Any arrangement

Easiest explanation: The final concentration for both the cases is same and can be calculated using the formula

CA2 = \(\frac{CA0}{(τ1K+1)(τ2k+1)} \)

Hence, it can be inferred that for first order reactions, irrespective of the arrangements the final conversions are going to be the same.