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I’m not saying your wrong, I just can’t see why the tap water would force itself to leave and become salty. Can you explain this better for me?
I like Randy’s explanation. But I’d like to try to give you a different one to see if it helps.
Let’s say you take a small tank (10 gal) of aquarium water at 78 degrees. You carefully lay an acrylic tray of RO/DI water on top of that tank water (It’s not totally full so it floats - - an fresh water is less dense anyway). In the center of the tray is a 1 in hole that you kept plugged.
You let both bodies of water become perfectly still before removing the plug.
Ask yourself, does the less dense fresh water drain down into the salt water? Does the salt water rush up into the fresh water? Do the two simply “mix”?
The answer is they mix?
The water and ion molecules diffuse as they vibrate about, but the water and ions become more and more uniformly distributed as time goes on. This is the nature of nature. Things go from orderly (pure water) to less orderly when barriers are removed. Examples: Dissipating smoke, the big-bang of the universe.
As Randy was saying, it takes energy to put things into order (purity them) and energy is released when they “decay” or become less orderly - - the nature of things. Even in social systems, it takes energy to create “exclusivity” such as clubs, classes, clans. Nature tends to promote (in many cases rewards) integration [just an analogy there].