Household cleanser bleach is the sodium hypochlorite (NaOCl) molecule, while chlorine (Cl) by itself is an element.
Then there’s the chlorine used to treat swimming pools, which is calcium hypochlorite (CaOCl).
Bleach is dissolved in water while calcium hydroxide is sold as a solid pill or powder.
Both bleach and pool chlorine work the same way. Hypchlorite is a very strong base, but when it’s disolved in water it becomes hypochlorous acid (HOCl). And then hypochlorous acid breaks down into hydrochloric acid (HCl) and oxygen. Solo oxygen atoms very much want to combine with (oxidize) other things, and that’s what makes bleach such a powerful disinfectant and cleaner.
See [this page](https://www.lenntech.com/processes/disinfection/chemical/disinfectants-sodium-hypochlorite.htm) for more info.
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