To determine the oxidation number of phosphorus in pyrophosphoric acid, we need to understand the chemical structure and composition of the compound. Pyrophosphoric acid has the chemical formula \(H_4P_2O_7\).
- Break down the formula: The formula consists of 4 hydrogen atoms, 2 phosphorus atoms, and 7 oxygen atoms.
- Understanding oxidation numbers:
- Hydrogen generally has an oxidation number of +1.
- Oxygen generally has an oxidation number of -2.
- Calculate the total oxidation contribution by hydrogen and oxygen:
- Total contribution from hydrogen: \(4 \times (+1) = +4\)
- Total contribution from oxygen: \(7 \times (-2) = -14\)
- Use the charge balance equation for the molecule \(H_4P_2O_7\):
4 \times 1 + 2 \times x + 7 \times (-2) = 0
- Simplify and solve for \(x\) (the oxidation number of phosphorus):
4 + 2x - 14 = 0 \ 2x - 10 = 0 \ 2x = 10 \ x = +5
- Conclusion: The oxidation number of phosphorus in pyrophosphoric acid is \(+5\). This confirms that the correct answer is
+5
- .
Therefore, the correct oxidation number of phosphorus in pyrophosphoric acid is option
+5
.