This paper describes a mathematical model which simulates the coupled heat and mass transfer events occurring in moving boundary problems associated with an exothermic heat of mixing. In this class of problems, the heat sink (i.e. latent heat of melting) and heat source (i.e. exothermic heat of mixing) co-exist in close proximity. The model was based on the control-volume finite difference approach and on an enthalpy method. The role of heat source acting in this class of problems was simulated by introducing an exothermic heat term into the enthalpy formula. The computational results indicated that the exothermic heat of mixing leads to a rapid increase of temperature around the moving boundary, which produced an enhanced convective flow in the liquid phase. The intensification of fluid flow around the moving boundary resulted in an acceleration of the melting process. The experimental work reported in this paper was carried out in a low temperature system. In this work, ice cylindrical specimens were immersed in sulfuric acid solutions. The model results were compared with experimental measurements and they were found to be in good agreement.