Öz A boundary value problem governing the process of molar-molecular heat- and mass trans­ fer in a capillary porous body of spherical geometry in presence of heat and mass sources and sinks under tbe generalized boundary conditions is transferred into the three boundary value problems for tbe heat conduction equations. Using the Laplace transform, the boundary value problems of partial differential ecjuations are converted into boundary value problems af ordinary differen- tial eguations and they are solved by Galerkin’s method. As an illustration the problem af molar molecular heat and mass transfer under specific boundary condition of the third kind is solved and discussed in detail.