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Type 2 Home Problem 
Problems that require intermediate calculations or manipulations.
Our tubular reactor consists of a cylindrical pipe and operates at steady-state. The turbulent flow we expect may be modeled by that of a plug flow reactor (PFR). A PFR has no radial variation in concentration.
We start with the general steady-state mole balance for the PFR:


Rearranging gives:

Taking the limit as  , we obtain:
, we obtain:

From the definition of conversion, FA is:

Then substituting FA into the differential, we get:

Inserting our rate law (-rA=kCAo(1-X)) and dividing both sides by FAo, we get our PFR design equation:

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CRE Thoughts Ten Types Homogeneous Example 2