Series Reactions in a Batch Reactor

The liquid-phase reaction is carried out in an isothermal batch reactor. Both reactions are first-order. The activation energy of the first reaction, , is lower than the activation energy of the second reaction, . In this Demonstration you can vary the temperature of the reaction and the selectivity ), which is a function of time because the reactions have different activation energies. The concentrations of the reactants and products are also plotted as functions of time. Note that the time scale in the plots changes when the temperature increases from 465 K to 466 K.


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Consider the reaction .
Both reactions are first-order. The reactor is isothermal, with the temperature of the reactor variable. 
As the temperature changes, the selectivity for the desired product B changes.
Mole balances:
= concentration of A
= concentration of B
= concentration of C
= rate constant for first reaction
= rate constant for second reaction
= pre-exponential factor for first reaction
= pre-exponential factor for second reaction
= activation energy for first reaction
= activation energy for second reaction
= ideal gas constant
= temperature of reaction (absolute temperature)
[1] H. Scott Fogler, Essentials of Chemical Reaction Engineering, Boston: Pearson Education, 2011 pp. 298–302.
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