A dehumidification mechanism for an appliance includes a blower that delivers humid process air along an airflow path. A drum is positioned along the airflow path. A condensing apparatus dehumidifies the humid air to define dehumidified air. A membrane has a plurality of nanopores that define a portion of the airflow path within the condensing apparatus. The humid air is delivered along the membrane having the plurality of nanopores and the nanopores operate through capillary condensation to dehumidify the humid air and separate condensate away from the humid air to define the dehumidified air. The condensate removed by the nanopore membrane is delivered away from the airflow path and to a condensate collection area within the appliance.