In electrolysis, an electric current is run through water and the water is broken down into its constituent elements, i.e., hydrogen and oxygen. In evaporation, the water is heated and it stays water, it just changes form from a liquid to a gas.
I can't help with mineral water.But, Distilled water can be classified as high purity water in a since. There is no contaminates or microbiology in the water.Tap Water will, in most cases, have some...
Distilled water contains only water. Tap water, which is almost entirely water, does contain some trace quantities of other things, which would include chlorine residue from the disinfecting process...