Cut the carbon filter into a 48-inch by 8-inch piece. Many carbon filters measure 48 inches by 16 inches and can be cut in half so that one piece can be saved for use as a replacement.
Cut the hardware cloth to width by cutting a 12-inch strip (8 inches for the width of the filter plus 2 inches on either end) from the entire roll.
Attach the ends of the hardware cloth to the end cap and duct connector piece using duct tape.
Wrap the hardware cloth around the end cap and duct connector piece, taping every few inches. As you add more layers, the cloth tube will go from flimsy to sturdy. This tube is going to serve as support for the carbon filter.
Tape over any loose metal ends with the duct tape.
Wrap the activated carbon filter around the hardware cloth tube. Secure the filter in place using duct tape. Don't tape over the filter too much, as air can't flow through duct tape.
Slide the open end of the duct connector piece onto the duct vent and tape it down securely with duct tape.
Check to make sure that air is flowing through the carbon filter. When you hold your hand over the filter, you will be able to feel the air moving.