Abstract <p>This study explores the flow of a viscous, incompressible, and electrically conducting fluid between plates, where one is perfectly conducting and the other is non-conducting. It focuses on the influence of thermal and solutal buoyancy forces on heat and mass transfer driven by free convection. Both plates are of infinite length, and a uniform transverse magnetic field is imposed to the flow. The analysis also incorporates the effect of chemical reactions within the fluid. The governing equations for momentum, thermal energy, mass concentration, and generalized Ohm’s law are solved with the Laplace transform method. The study examines the influence of various key parameters, including the Hartmann number, Hall current, Soret number, thermal and solutal Grashof numbers, radiation parameter, Schmidt number, and chemical reaction parameter, on flow characteristics (such as velocity profiles and shear stress), heat transfer (temperature profiles and Nusselt number), mass transfer (concentration profiles and Sherwood number), along with the induced magnetic field and current density. The Lorentz force within the flow suppresses convective activities in the flow domain, leading to a reduction in the viscous drag forces exerted on the plates. Among the governing parameters, the Soret number and thermal buoyancy forces play a particularly significant role in shaping the current flow configuration. The magnetic field strength decreases as we move from the conducting plate toward the non-conducting plate. Additionally, the variation in the density of the induced current (and its velocity) between the plates exhibits a parabolic distribution, with the peak values occurring near the center of the flow. When buoyancy forces are sufficiently large and directed forward or downward, they can alter both the flow direction and the orientation of the induced magnetic field and current density.</p>