Topological relations between heat or mass transfer equations analytical solutions for media contacting a well stirred solution with finite volume were deduced for infinite flat slabs, infinite cylinders and spheres. Referred topological relations conduce to prediction heat or mass transfer properties in the averaged equations as function of thermal or mass diffusivity and medium size and geometry. As results corollary, the application of the analytical solutions for empirical evaluation of heat or mass diffusivity was detailed.