Question: A liquid phase reaction, A + B C, proceeds according to the following rate A =0.5( A / 1+ A ) = 5 -3 s

A liquid phase reaction, A + B C, proceeds according to the following rate

_A =0.5( _A/ 1+_A) = 5 ^-3s^-1 =10³ ^-1

This reaction is carried out in the reactor sequence (shown in Figure 1) operating at steady state. Reactors 1 and 2 are CSTRs that have volumes of 5 dm3 and 4 dm3, respectively. The inlet volumetric flow rate to reactor 1 is 20 dm3 min-1, with an initial flow rate of 20 (mol B) s-1 and 50 (mol A) s-1. A side-stream (vside = 60 dm3 min-1) containing containing B and an unreactive inert is added between the two reactors to increase the overall conversion of A.

In this system, you are given the design constraint that the flow rate of B must be less than or equal to 20 mol s-1 to avoid unwanted side reactions.

Problem: What molar flow rate of reactant B in the side-stream will maximize the conversion of A without producing side reactions?

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