Reactive transport of a dilute species in a Newtonian fluid saturating a homogeneous porous medium for slip flow is analyzed in this work. Incompressible Newtonian flow with a first-order (Navier) slip boundary condition is considered together with a first-order heterogeneous reaction\added{.} Kinetic numbers range up to unity \added{while} Knudsen number\added{s,} characteristic of slip-flow, \added{are} smaller than approximately 0.1. The pore-scale problem is upscaled, using the volume averaging method, to obtain a macroscopic transport equation (referred to as the \textit{complete upscaled model}) operating at the Darcy scale. Using order of magnitude estimates and an expansion in terms of the Kinetic number, \added{simplifications in the expressions of the effective coefficients are explored.} \added{The conditions under which the effective convective velocity and the total dispersion tensor are independent of reaction are derived. Under such conditions, a simplified version of the macroscopic transport equation is obtained. This is referred to as the \textit{simplified model}.} Numerical results \added{for} a simple structure indicate that the longitudinal dispersion \added{coefficient} decreases with decreasing Knudsen number, while the opposite holds for the transverse \added{component} of the total dispersion tensor, the effective convective velocity, and the effective reaction rate coefficient. These effects are more evident when the P\'eclet number increases (\textit{i.e.}, in the convective-favored regime) and when slip effects are more pronounced. Results predicted by the simplified and \added{the} complete versions of the upscaled model are validated with direct numerical simulations of the pore-scale problem on a two-dimensional model structure.< Leer menos