This Demonstration analyzes the single-step reaction

in a nonisothermal continuous well-stirred tank reactor (CSTR) where

is the heat of reaction. The rate of reaction is first order in the concentration of species

, so that

, and the rate constant has an Arrhenius temperature dependence:

. Heat is removed from the reactor using a cooling coil that has an overall heat transfer coefficient

and surface area

. The Demonstration shows the complex steady states (expressed as plots of temperature

versus

, and conversion fraction

versus

) that can occur in the reactor as the residence time

and the heat transfer parameter

are varied. The possibilities include a unique steady state and multiple steady states, as well as the birth and death of an isola (or island), which is a region in the solution space described by a closed loop.
You can study the dynamics of the reactor by varying the initial temperature for the reactor

. When multiple steady states are present, each stable steady state will have a zone of attraction that you can explore by changing
