9853

Study of Successive First-Order Reversible Reactions

The following successive first-order reactions are considered: . For simplicity, assume that all forward and backward rate constants are equal to and , respectively. The Demonstration displays the steady state solution for all species as well as the transient behavior only for species such that , for clarity of the plot.

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Reaction Networks

Successive first-order reversible reactions are considered:
.
The kinetic expressions, where represents the molar concentration, can be written:





.
Adding the equations provides the differential mass balance:
.
By setting the left-hand side of the differential equations equal to zero, the simultaneous linear algebraic equations can be solved to yield the steady state solutions.
With initial conditions on , , ,... , the simultaneous ordinary differential equations can be solved to yield the transient solution.
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