We have previously proven that chemical reactors with a given output of product, have minimum entropy production when the force of the reaction rate is constant over the reactor. This applies to cases where the reaction rate, r, is proportional to the force, A/T, where A is the affinity and T is the temperature. We have called this result the principle of equipartition of forces. This paper presents excerpts from a more extensive paper submitted for publication. We present the proof on a continuous form, and we discuss how the constant force can be determined and maintained, using an isoforce operating path. In general, minimum entropy production is obtained when A/T+rd(A/T)/dr is constant. We show how operating paths with minimum entropy production, can be constructed for reactions far from equilibrium when reaction kinetics are known.
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