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On example of diffusion-limited reversible $A+A \rightleftharpoons B$reactions we re-examine two fundamental concepts of classical chemical kinetics- the notion of "Chemical Equilibrium" and the "Law of Mass Action". Weconsider a general model with distance-dependent reaction rates, such that anypair of $A$ particles, performing standard random walks on sites of a$d$-dimensional lattice and being at a distance $\mu$ apart of each other attime moment $t$, may associate forming a $B$ particle at the rate $k_+(\mu)$.In turn, any randomly moving $B$ particle may spontaneously dissociate at therate $k_-(\lambda)$ into a geminate pair of $A$s "born" at a distance $\lambda$apart of each other. Within a formally exact approach based on Gardiner'sPoisson representation method we show that the asymptotic $t = \infty$ stateattained by such diffusion-limited reactions is generally \textit{not a truethermodynamic equilibrium}, but rather a non-equilibrium steady-state, and thatthe Law of Mass Action is invalid. The classical concepts hold \text{only} incase when the ratio $k_+(\mu)/k_-(\mu)$ does not depend on $\mu$ for any $\mu$.Comment: 30 pages, 2 figure

Corrections to the law of mass action and properties of the asymptotic t=∞ state for reversible diffusion-limited reactions