Calculate the Formal Charge of Chlorine in the Following Molecules: a Cl2, b BeCl2, c ClF5

To calculate the formal charge of chlorine in various molecules, we will use the formula:

Formal Charge = Valence Electrons – (Non-bonding Electrons + 0.5 Bonding Electrons)

a) Cl2

In diatomic chlorine (Cl2), each chlorine atom has 7 valence electrons. There are no non-bonding electrons and each chlorine is bonded to one other chlorine atom, sharing a pair of electrons (which counts as 2 bonding electrons).

Calculation:

  • Valence Electrons = 7
  • Non-bonding Electrons = 6 (3 lone pairs)
  • Bonding Electrons = 2 (1 bond)

Formal Charge = 7 – (6 + 0.5 * 2) = 7 – (6 + 1) = 0

Therefore, the formal charge on each chlorine atom in Cl2 is 0.

b) BeCl2

In beryllium chloride (BeCl2), beryllium is bonded to two chlorine atoms. Each chlorine atom again has 7 valence electrons. In this case, each chlorine is involved in a bonding situation with beryllium, sharing two electrons.

Calculation for Cl:

  • Valence Electrons = 7
  • Non-bonding Electrons = 6 (3 lone pairs)
  • Bonding Electrons = 2 (1 bond with Be)

Formal Charge = 7 – (6 + 0.5 * 2) = 7 – (6 + 1) = 0

So, the formal charge on each chlorine atom in BeCl2 is also 0.

c) ClF5

In chlorine pentafluoride (ClF5), chlorine is bonded to five fluorine atoms. Each fluorine atom has 7 valence electrons, with 6 non-bonding electrons (3 lone pairs) and all are involved in bonding with chlorine.

Calculation for Cl:

  • Valence Electrons = 7
  • Non-bonding Electrons = 0
  • Bonding Electrons = 10 (5 bonds with F)

Formal Charge = 7 – (0 + 0.5 * 10) = 7 – 5 = 2

The formal charge on chlorine in ClF5 is +2.

In summary:

  • Cl in Cl2: Formal Charge = 0
  • Cl in BeCl2: Formal Charge = 0
  • Cl in ClF5: Formal Charge = +2

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