Why are #"H^+# ion and proton synonymous?

Answer 1

See explanation

By far the most common isotope of hydrogen is #""^1H# (a.k.a. protium), which has one electron and a nucleus consisting one proton and no neutrons.

If you make the hydrogren atom into a hydrogen ion by removing an electron, then all you are left with is one proton.

So #""^1H^+# and proton are synonymous.

#color(white)()# Hydrogen has two other isotopes:

#""^2H#, also denoted #D# and called deuterium.

#""^3H#, also denoted #T# and called tritium.

The ions of these isotopes include respectively one or two neutrons - not just a proton.

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Answer 2

Mateo Aguilar

In many contexts, the terms "proton" and "H^+ ion" are interchangeable because in aqueous solutions, hydrogen ions (H^+) exist mostly as bare protons because of the high polarity of water molecules, which readily solvate the ions.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.