The reaction rate for A going to B and C is :

Since the reaction is reversible we have to take into account the conversion of B and C into A :

The overall reaction rate becomes the amount of A converted into B and C minus the amount of B and C that become A :

This equation can be simplified to :

where

and

To find the concentrations of the components, we start with the volumeteric flow rate. Since this reaction involves gases it will not remain constant but can be found using the equation :

Since we aren't told otherwise, we will assume no pressure drop and isothermal conditions :

This can be plugged into the definition of concentration for a species, i :

which can be simplified to :

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