Science can get really confusing because a lot of vocabulary words have different meanings depending on the context in which they are used. As you’ve pointed out, “neutral” can refer to a lot of different phenomenon. Let’s start with chemically neutral. This refers to a compound’s position on the pH scale. A neutral compound will be at pH=7 and is neither acidic nor basic. Pure water is chemically neutral because the amount of free-floating protons (H⁺) equals the amount of free-floating hydroxide ions (OH^-). Electrical neutrality compounds are those that do not carry a charge be it positive or negative. In terms of atoms, electric neutrality occurs when the amount of protons is equal to the amount of electrons in the atom.Atoms that are not electrically neutral are called ions, and they carry a charge. Thank you for the question and I hope this explanation cleared up some of your confusion.

Chemical neutral usually means the solution is neither acidic nor basic chemically. Electrically neutral means the balanced negative and positive charges in the object.