Locate a suitable position for the air vent on the drain line. Usually, since there are two drains on a double sink, the best location is on the home's main drain line, near the wall and behind the point at which it connects to both sink drain pipes.
Cut out a 3-inch section of pipe -- or enough to allow the insertion of the air vent's T-fitting -- from the drain pipe at the point you chose in the previous step, with a pipe saw.
Cover the ends of a T-fitting in PVC cement and install it where you cut out the section of pipe.
Install the air vent on the top outlet of the T-fitting after coating its edges with PVC cement. If your air vent comes with a T-fitting, you don't need to perform this step; simply install the vent and T-fitting together.
Let the PVC cement dry for up to eight hours, or as your cement manufacturer recommends, before running any water in the sink.