The Monte Carlo (MC) method is being used for simulating microstructural evolution in materials. The problem of the dissolution of a circular region of solid (or a spherical region in three dimensions) placed in an infinite liquid has been used as a test of MC codes. When the solid region is homogeneous and isotropic, there is a gradual shrinking of the solid, while maintaining a roughly circular (or spherical) boundary. The presence of internal interfaces in the solid changes the nature of dissolution depending on the relative energy of the solid/solid interfaces compared to that of the solid/liquid interface. A parametric study of the influence of interface energies on the dissolution of the solid is presented in this paper.