To determine the formal charges on the oxygen atoms numbered \(2, 1,\) and \(3\), we use the formula for calculating formal charge:
\(\text{Formal Charge} = \text{Valence Electrons} - (\text{Non-bonding Electrons} + \frac{1}{2}\text{Bonding Electrons})\)
Here is the step-by-step calculation for each oxygen atom:
- Oxygen 2:
- Valence electrons = 6 (for oxygen)
- Non-bonding electrons = 4
- Bonding electrons = 4 (2 bonds, each contributing 2 electrons)
\(\text{Formal Charge} = 6 - (4 + \frac{4}{2}) = 6 - 6 = 0\) - Oxygen 1:
- Valence electrons = 6
- Non-bonding electrons = 2
- Bonding electrons = 6 (3 bonds, each contributing 2 electrons)
\(\text{Formal Charge} = 6 - (2 + \frac{6}{2}) = 6 - 5 = +1\) - Oxygen 3:
- Valence electrons = 6
- Non-bonding electrons = 6
- Bonding electrons = 2 (1 bond, contributing 2 electrons)
\(\text{Formal Charge} = 6 - (6 + \frac{2}{2}) = 6 - 7 = -1\)
Thus, the formal charges on the oxygen atoms numbered \(2, 1,\) and \(3\) are \(0, +1, -1\), respectively.