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.
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.