# Equilibrium relationships for non-equilibrium chemical dependencies

Source: [Equilibrium relationships for non-equilibrium chemical dependencies](<https://www.sota2.com/research/paper/68fa29771e209131ce834635>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T12:55:20.375Z

Authors: Gregory S. Yablonsky, Denis Constales, Guy B. Marin

Published: 2010-07-27T08:53:58.000Z

## Abstract

In contrast to common opinion, it is shown that equilibrium constants determine the time-dependent behavior of particular ratios of concentrations for any system of reversible first-order reactions. Indeed, some special ratios actually coincide with the equilibrium constant at any moment in time. This is established for batch reactors, and similar relations hold for steady-state plug-flow reactors, replacing astronomic time by residence time. Such relationships can be termed time invariants of chemical kinetics.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1007.4642>)

[PDF](<https://arxiv.org/pdf/1007.4642.pdf>)