Must be handwritten

An isothermal, constant-pressure plug-flow reactor is designed to give a conversion of 63.2% of A to B for the first-order gas-phase decomposition AB for a feed of pure A at a rate of 5m3/h (constant flow in the reactor). At the chosen operating temperature, the first-order rate constant k=5.0h1. However, after the reactor is installed and in operation, it is found that conversion is 92.7% of the desired conversion. This discrepancy is thought to be due to a flow disturbance in the reactor that gives rise to a zone of intense backmixing. Assuming that this zone behaves like a perfectly mixed stirred-tank reactor in series and in between two plug-flow reactors, what fraction of the total reactor volume is occupied by this zone? NOTE: DERIVE DESIGN EQUATIONS AND SHOW ALL DETAILED CALCULATIONS. PRESENT THE PROBLEM IN A WELL-LABELLED DIAGRAM