What is the formal charge on the central nitrogen atom in dinitrogen sulfide (N2S)? a. –2 b. +2 c. –1 d. +1 e. 0

The correct answer and explanation is:

Correct answer: d. +1

To determine the formal charge on the central nitrogen atom in dinitrogen sulfide (N₂S), we follow the formal charge formula:

Formal charge = (Valence electrons) – (Non-bonding electrons) – (Bonding electrons ÷ 2)

Step 1: Determine the molecular structure of N₂S

Dinitrogen sulfide has the molecular formula N–N=S, and the common Lewis structure places the atoms in a linear or bent arrangement:
N₁–N₂=S

Let us consider a likely resonance form that satisfies the octet rule for all atoms:

:N≡N–S:

In this structure:

  • The first nitrogen (N₁) has a triple bond with the second nitrogen (N₂) and one lone pair.
  • The central nitrogen (N₂) has a single bond with sulfur and a triple bond with N₁.
  • The sulfur atom (S) has two lone pairs and a single bond to N₂.

Step 2: Count formal charges

Valence electrons:

  • Nitrogen has 5 valence electrons.
  • Sulfur has 6 valence electrons.

Central nitrogen (N₂):

  • Valence electrons = 5
  • Non-bonding electrons = 0 (no lone pairs on N₂)
  • Bonding electrons = 8 (3 bonds to N₁ + 1 bond to S = 4 bonds = 8 electrons)

Formal charge = 5 – 0 – (8 ÷ 2) = 5 – 0 – 4 = +1

Final Answer:

The formal charge on the central nitrogen atom in dinitrogen sulfide is +1.

Explanation:

Formal charges help chemists understand electron distribution in molecules. In N₂S, the central nitrogen forms four bonds but lacks non-bonded electrons, causing an electron deficiency. This is reflected as a formal charge of +1, indicating the atom has one less electron than it normally possesses in a neutral state. This helps balance the molecule’s overall charge and predict its reactivity.

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