Low boiling point compounds, like say benzene, would just evaporate and then condense with your water into your final product. Distillers get rid of heavy thing

Low boiling point compounds, like say benzene, would just evaporate and then condense with your water into your final product. Distillers get rid of heavy things that don't boil, like metals and large contaminants like bacteria and their waste products. A carbon filter would get rid of the organics and low-boiling point things. So optimal water purification would first use a carbon filter, and then distill the output of that. Make sure to add minerals to the final product though. Pure water is a vicious solvent and will slowly melt your teeth away. It will also become quite acidic after sucking CO2 out of the air, so consider adding some pH balancing salts too.