Final answer:
The formal charge of a nitrogen atom in a hypothetical molecule with two sets of lone pair electrons and two covalent bonds is calculated to be -1, making (B) the correct answer.
Step-by-step explanation:
To determine the formal charge of a nitrogen atom in a hypothetical molecule with two lone pairs and two covalent bonds, we use the formula for formal charge:
Formal Charge = (Valence electrons of the atom) - (Lone pair electrons + ½ Bonding electrons)
Nitrogen normally has five valence electrons. In this hypothetical molecule, the nitrogen has two sets of lone pair electrons (4 electrons) and is participating in two covalent bonds (2 bonding electrons, or 4 bonding electrons if you count both electrons in the bonds). Using the formal charge formula:
Formal Charge of N = 5 - (4 + ½(4))
Formal Charge of N = 5 - (4 + 2)
Formal Charge of N = 5 - 6
Formal Charge of N = -1
Therefore, the formal charge of the nitrogen atom in this hypothetical molecule would be -1, making option (B) the correct answer.