I think...................I think, let me get this right. You want to use an inline chlorine dispenser like used for hot tubs to inject the chlorine.? Those things are ok for killing bugs in a hot tub but nowhere near as accurate as an injector pump made for water conditioning so.........get one of those instead, pellet or liquid, either will work. Using the bladder tank for precip is IMO a bad idea because the chlorine will cause the bladder to fail prematurely and what do you do with all that iron that precipitates in your tank? It needs a place to drain. Before you get much further, take a water test for iron and let us know the results.