This article presents semianalytical solutions and analytical temporal moments of a two-dimensional nonequilibrium transport model of linear reactive chromatography considering irreversible (A -> B) and reversible (A -> B) reactions. The model is formed by a system of four coupled partial differential equations accounting for linear advection, longitudinal and radial dispersions, the rate of variation of the local concentration of each component in the stationary phase, local deviation from equilibrium concentrations, and first-order chemical reactions in both liquid and solid phases. The solution process successively employs Hankel, Laplace, and linear transformation steps to uncouple the governing set of coupled differential equations. The resulting uncoupled systems of ordinary differential equations are solved using an elementary solution technique. The numerical Laplace inversion is applied for back-transformation of the solutions in the actual time domain. To analyze the effects of different kinetic parameters, statistical temporal moments are derived from the Hankel- and Laplace-transformed solutions. The current solutions extend and, generalize the recent solutions of a two-dimensional nonequilibrium single-solute transport model for nonreactive liquid chromatography. The analytical results are compared with the numerical solutions of a high-resolution finite-volume scheme for two sets of boundary conditions, Several Case studies are carried. Good agreement in the results verifies both the correctness of the analytical solutions and the accuracy of the suggested numerical algorithm.