Of course, Chem_Geek is correct. Once it's dissolved in the water, chlorine is chlorine--and all the additives are a seperate issue.
If you've been using Cal-Hypo, it is perfectly safe to use Di-Chlor or Bleach for additional chlorination. Again, once it's been dissolved in the water, it's safe to use another form.
But you NEVER mix chlorine types together--You don't use floaters with Cal-Hypo that had Tri-chlor in them before. If you have an in-line chlorinator ONLY use Tri-chlor in it.
Bookmarks