An exothermic reaction, A →2B, takes place adiabatically in a stirred-tank system. This liquid phase reaction occurs at constant volume in a 100-gal reactor. The reaction can be considered to be first order and irreversible with the rate constant given by

k = 2.4 x 10 ¹⁵ e ^-20,000/T (min ^-1 )

Where T is in °R. Using the information below, derive a transfer function relating the exit temperature T to the inlet concentration c _Ai . State any assumptions that you make. Simplify the transfer function by making a first-order approximation and show that the approximation is valid by comparing the step responses of both the original and the approximate models.

Answer rating: 100% (QA)

From the given data Assumption 1 The stirred tank reactor is well mixed and the exit concentra... View the full answer