Different Flow Equations

Step 1: Define the reaction kinetics. The reaction follows second-order kinetics: where is the reaction rate constant, and is the concentration. Step 2: Expression for reactor volumes. 1. Plug Flow Reactor (PFR): For a second-order reaction in a PFR, the volume is given by: 2. Complete Mixed Reactor (CMR): For a second-order reaction in a CMR, the volume is given by: Step 3: Substitute for 90\% reduction in concentration. For both reactors: 1. For : Simplify: 2. For : Simplify: Step 4: Ratio of volumes. The ratio of to is: