Here we make the following assumptions
Perfect mixing in reactor and jacket
Constant volume reactor and jacket
Constant parameter values
In addition, to develop a simplified model, we assume that the jacket temperature can be directly (and nearly instantaneously) manipulated. This assumption is very good if a boiling heat transfer fluid is used, for example; changing the pressure on the jacket side would result in near instantaneous change in jacket temperature (note that a recirculating jacket system would not be used in this scenario). Even for the recirculating heat transfer system, the assumption of the jacket temperature being directly manipulated can be good if the jacket dynamics are rapid compared to ...