An apparatus for processing battery electrodes includes: a microwave applicator cavity with slots on opposite ends to allow a continuous sheet to move through the cavity in a first direction; a processing chamber constructed of microwave-transparent material, disposed within the applicator cavity and surrounding the continuous sheet, the processing chamber having slots to allow the continuous sheet to pass through it; a microwave power supply to deliver power to the applicator cavity; a source of heated gas providing a controlled gas flow through the processing chamber in a direction opposite the first direction; and, at least one non-contacting temperature measuring device positioned to measure a surface temperature at a selected location on the continuous sheet as it passes through the processing chamber. The apparatus is particularly suited for removing polar solvents from porous electrode coatings. A related method is also disclosed.