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First of all, nitrate plus doesn't exist. The term nitrate either refers to the polyatomic ion, NO3-, or to the organic functional group RONO2. It doesn't really matter though, because if there were a nitrate plus ion, it would have the same number of protons and neutrons as the actual nitrate ion has, since the only difference between the two molecules, structurally speaking, would be the number of electrons they have. So, to answer your question, the most common number of neutrons in a nitrogen atom is 7, and the most common number of neutrons in an oxygen atom is 8. Therefore, a nitrate ion, whether + or -, has 1*7 + 3*8 = 31 neutrons, which is also its number of protons.

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