What is the overall formal charge of BH4? (It abides by the octet rule)

The correct answer and explanation is:

The correct answer is: –1


Explanation:

To determine the overall formal charge of the tetrahydroborate ion (BH₄⁻), it is essential to apply the concept of formal charge, which is a bookkeeping method used in chemistry to determine the charge distribution in a molecule.

Step 1: Determine the valence electrons

  • Boron (B) has 3 valence electrons (Group 13).
  • Each hydrogen (H) has 1 valence electron.
  • Since there are 4 hydrogen atoms: 4 × 1 = 4 electrons from hydrogen.
  • The molecule has a negative charge (–1), which means there is 1 extra electron.

Total valence electrons:
= 3 (from B) + 4 (from H) + 1 (extra for negative charge)
= 8 valence electrons

Step 2: Assign electrons in the structure

BH₄⁻ has a central boron atom with 4 single bonds connecting to 4 hydrogen atoms. Each bond consists of 2 shared electrons, so there are 4 bonds × 2 electrons = 8 electrons used in bonding. This satisfies the octet rule for boron (though boron often is an exception, in this ion it obeys the octet).

Step 3: Determine formal charge for each atom

Formal charge formula:

Formal Charge = Valence Electrons – (Nonbonding Electrons + ½ Bonding Electrons)

For Boron:
= 3 – (0 nonbonding + ½ × 8 bonding)
= 3 – 4 = –1

For each Hydrogen:
= 1 – (0 nonbonding + ½ × 2 bonding)
= 1 – 1 = 0

Step 4: Calculate overall formal charge

  • Boron: –1
  • 4 Hydrogens: 0 × 4 = 0
  • Total: –1

Conclusion:

The overall formal charge of BH₄⁻ is –1. This result aligns with the fact that the ion is negatively charged and obeys the octet rule.

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