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# Formal charge on nitrogen and oxygen in \$NO_3^ - \$ ion are respectively:(A) 0, \$ - \dfrac{1}{3}\$ (B) +1, \$ - \dfrac{1}{3}\$(C) +1, \$ - \dfrac{2}{3}\$(D) 0, \$ - \dfrac{2}{3}\$

Last updated date: 23rd Apr 2024
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Hint: To answer this question we must first recall the concept of a formal charge. We would also have to remember how it was calculated via formula and by instinct to some extent.

Complete step by step solution:
-Formal charge is actually the charge assigned to an atom, under the assumption that the electrons in a chemical bond are shared equally between the atoms and that they have almost no difference in their electronegativities.
-To calculate formal charges, we assign electrons in the molecule to individual atoms according to these rules:
(1)Non-bonding electrons are only assigned to the atom on which they are located.
(2)Bonding electrons are divided equally between the two bonded atoms, so one electron from each bond goes to each atom.
-On drawing the structure of nitrite ion, we can predict the number of electrons each element entails.

-The mathematical formula to calculate formal charge is:
\$F.C. = V - N - \dfrac{B}{2}\$
Where V = number of valence electrons;
N = number of nonbonding electrons;
B = Number of electrons in a covalent bond.
-For Nitrogen:
From the structure itself, we find a positive charge on Nitrogen, hence it carries a formal charge of +1. This is what we assign to every element of a compound. We are counting 4 electrons (4 bonding electrons, no nonbonding electrons). Since N is in Group 15, we have one less electron than N should have, and so it has a +1 charge.
-For oxygen,
From the structure, we see that, for the O with the double bond, we are counting 6 electrons for it (4 nonbonding electrons and 2 bonding electrons (one per band). Since O is in Group 16, that’s how many electrons it should have, so the charge for that O is zero. For either of the O atoms with a single bond, we can count 7 electrons (6 nonbonding electrons and one bonding electron). That’s one more than 6, so those O atoms have a charge of −1 each. Hence for 3 O atoms, we find the formal charge is \$ - \dfrac{1}{3}\$.

Hence the correct answer is Option (B) +1, \$ - \dfrac{1}{3}\$.