Simple science...you will need 6 plastic water bottles. Fill two bottles straight out of your sink, two with filtered water and two with distilled water; put a tea bag in each bottle. Stick all six bottles on your window sill; open one of each of the bottles and then leave them for a good month***. Look at what is the inside of your bottles after water evaporation. Look at what is in the closed bottles, pour some over your hands and feel the liquid, smell the liquid and though I don't recommend it...take a small sip. Repeat the experiment with boiled water, but the results will be similar.
I'm not a science person, but I know the practical effect of air, heat and light on water. If I make a pitcher of tea from the tap and put it on the counter...it's good for about two days before it starts to 'turn'; three days with filtered, four days with distilled. Even pre-bottled tea from the store that is manufactured under strict guidelines and can sit in my garage for a month or more unopened and be perfectly good...will go bad once the seal has been broken.
**** - This test would actually be better in the Spring or Summer