What is the formal charge on each atom in CBr2F2

What is the formal charge on each atom in CBr2F2? a. C = 0, Br = 0, F = 0 b. C = 0, Br = -1, F = +1 c. C = 0, Br = +1, F = -1 d. C = -2, Br = +1, F = +1 e. C = +4, Br = -1, F = -1

The Correct Answer and Explanation is:

The correct answer is a. C = 0, Br = 0, F = 0.

Explanation:

Formal charge is a concept used in chemistry to determine the distribution of electrons within a molecule. It helps assess whether atoms bear extra electrons or have lost electrons in a covalent bonding arrangement. The formal charge (FCFC) on an atom is calculated using the formula:

FC=Valence electrons−Nonbonding electrons−Bonding electrons2FC = \text{Valence electrons} – \text{Nonbonding electrons} – \frac{\text{Bonding electrons}}{2}

For carbon (C) in CBr₂F₂:

  • Carbon has 4 valence electrons.
  • It forms four single bonds (two with bromine and two with fluorine).
  • Carbon does not have nonbonding electrons.
  • Bonding electrons = 8 (four single bonds, each containing two electrons).

FC=4−0−82=0FC = 4 – 0 – \frac{8}{2} = 0

For bromine (Br):

  • Bromine belongs to Group 17 and has 7 valence electrons.
  • In this molecule, each bromine atom forms a single bond with carbon.
  • Bromine has six nonbonding electrons (three lone pairs).
  • Bonding electrons = 2 (one single bond).

FC=7−6−22=0FC = 7 – 6 – \frac{2}{2} = 0

For fluorine (F):

  • Fluorine also belongs to Group 17 and has 7 valence electrons.
  • It forms a single bond with carbon.
  • Fluorine retains six nonbonding electrons.
  • Bonding electrons = 2 (one single bond).

FC=7−6−22=0FC = 7 – 6 – \frac{2}{2} = 0

Since all atoms have a formal charge of zero, CBr₂F₂ is a neutral molecule with a stable electron distribution. The formal charge analysis confirms that option (a) is correct.

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