A solar heat exchange system is fabricated from a manifold and a plurality of elastomeric tubular elements which are longitudinally connected into a mat. A one-piece molded plastic manifold having at least six parallel aligned radially extending nipples is mounted on a cylindrical tubular header. The spacing of the nipples is designed to correspond to the spacing of the tubular elements in the mat. The unit is assembled by applying liquid adhesive to the exterior of the nipples, and sliding the tubular elements of the mat simultaneously over the nipples while the adhesive is still fluid, and allowing the adhesive to set.