# Steady state multiplicity for two consecutive or isolated parallel first order reactions

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## Abstract

This work examines and classifies the steady state behavioral features of lumped parameter systems in which either two consecutive first order chemical reactions A->B->C, or two independent first order chemical reactions A->P1, B->P2 occur. Both reaction schemes behave in a similar fashion, and it is shown that the case of A->P1, B->P2 can be treated as a special case of A->B->C. When both reactions are endothermic, a unique steady state solution exists. When both reactions are exothermic, a maximum of five steady state solutions could occur. When one reaction is exothermic and the other is endothermic a maximum of three steady state solutions may exist. When one reaction is isothermal and the other is endothermic a unique solution exists, while when both reactions are isothermal y=l is the only steady state solution. When the first reaction is exothermic and the second is isothermal, the problem degenerates to that of a single chemical reaction occuring in a lumped parameter system. However, when the first reaction is isothermal and the second is exothermic, a maximum of five steady state solutions may occur. [...]