Question

A second order irreversible reaction A + B--->C takes place in three tank reactors arranged series with a different holdup volume. The reactant B at any time in each of the reactors is many times in excess of A. Product C leaves each of the reactors at different concentration. Given that the initial concentration of A and B are CAo mol/m³ and CBO, mol/m³ assume a steady state flowrate U m³/hr under transient operation of the reactors. Develop a dynamic model of the reactors system and determine the load transfer function and the response when the initial concentration of the reactant changes as a unit step.​

Answer 1

In the context of a second-order irreversible reaction A + B → C occurring in a series of three tank reactors with varying holdup volumes, a dynamic model for transient operation can be formulated.

Assuming excess B, with initial concentrations CAo and CBo for A and B, and a steady-state flow rate U m³/hr, the system's dynamic behavior can be described.

By deriving the load transfer function, one can analyze how changes in the initial concentration of reactant A impact the system. Specifically, investigating the system's response to a unit step change in A's concentration provides valuable insights into the reactors' transient behavior and facilitates process optimization.