Provided is a process that may comprise cooling an engine exhaust emissions comprising SOx on a vehicle that may come from an engine. The cooled engine exhaust emissions comprising SOx may be passed to one or more absorption units. The SOx may be extracted from the engine exhaust emissions with a sorbent supported on solid porous media in an absorption unit on the vehicle to form an absorbed SOx. The absorbed SOx may be desorbed, followed by forming one or more SOx product from the desorbed SOx. The one or more SOx product may be unloaded to an off-vehicle facility.