Kinetic features of the dissolution of solids in the liquid melt

Consider a complete mass balance of the substance in the process of dissolution of the solid. On the basis of the balance made up differential equations change in time of mass and linear velocity of dissolution solid in the liquid phase. Derived new equations are fundamentally different from the usual in that the presence of a concentrated solution of the estimated rate of dissolution is much more, because they took into account not only the change in concentration of the melt in time, but the magnitude of the mass transfer coefficient. The proposed equations are most relevant in the calculation of the kinetics of dissolution of solids in concentrated solutions (e.g. iron in iron melts, lime in the slag, etc.)