Blue_Nose Blue_Nose:
Coming up with chemical equations is pretty irrelevant to the simple fact that the bottles have been found to leach bisphenol-A. The only question is how much, and how damaging it can be.
The chemical equations tell you two things. First, if you're looking for an alternative that doesn't leach chemicals, the equations tell you what could potentially be leached so you can select one that isn't made from anything harmful. Notice acrylic is made from non-toxic stuff. Second, if bisphenol-A is really being leached then other chemicals should be leached as well. If those others aren't there then that raises the question of whether bisphenol-A is. That's the point, water will not break down polycarbonate and it's unlikely that any unreacted bisphenol-A is still in the plastic. Bottom line: the claim isn't true.
If you're still worried, make sure you wash any new water bottle with dish detergent. Rince afterward so the water doesn't taste of dish detergent. I'm sure you know how to wash dishes. Once any surface contaminants are gone, it's highly unlikely that plain water will leach anything out of the plastic.