1. Assign Known Oxidation States:
* Hydrogen (H): +1 (except in metal hydrides)
* Oxygen (O): -2 (except in peroxides and superoxides)
2. Set Up the Equation:
The sum of the oxidation states of all atoms in a polyatomic ion must equal the charge of the ion. Let 'x' be the oxidation state of sulfur:
(+1) + (x) + 4(-2) = -2
3. Solve for 'x':
1 + x - 8 = -2
x = +5
Therefore, the oxidation state of sulfur (S) in HSO₄²⁻ is +5.