Reactive Distillation is portrayed in the picture below.

Rate Law

To illustrate the effects of reactive distillation lets take the equation :


Taking the reaction to be elementary, the rate law is :


In reactive distillation, one of the products is continually removed causing the concentration of the removed product to become very small. As a result the reverse reaction decreases and more product is formed.


Mole Balance

Removing a component also has an effect on the mole balance. If D is the only component being removed, its mole balance becomes:

   

Mass Balance

Again, the overall mass balance must be done. However, this time the flow of D out of the system must be taken into account.



The mass terms in the equation can be replaced by :

giving :


Assuming that the system is at constant density leads to :





Summary



Mole Balance Mass Balance
Rate Law