To determine the role of hydrogen peroxide (\(H_2O_2\)) in each of the given reactions, we need to understand the concepts of oxidation and reduction.
Oxidation: It is the process of losing electrons or increasing oxidation state by a molecule, atom, or ion.
Reduction: It is the process of gaining electrons or decreasing oxidation state.
- Consider reaction (a): {H_2O_2 + O_3 \rightarrow H_2O + 2O_2}
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In this reaction, the oxidation states of the elements need to be analyzed:
- Hydrogen in \(H_2O_2\) is in +1 oxidation state.
- Oxygen in \(H_2O_2\) is in -1 oxidation state, and in \(O_3\), it is 0.
- In \(H_2O\), oxygen is in -2 oxidation state, and in \(O_2\), it is 0.
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The transformation shows that \(H_2O_2\) is losing oxygen atoms (as \(O_2\)) while creating \(H_2O\). This essentially means that hydrogen peroxide is losing its own oxygen atoms, thus acting as a reducing agent (it reduces itself).
- Consider reaction (b): {H_2O_2 + Ag_2O \rightarrow 2Ag + H_2O + O_2}
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Again, analyze the oxidation states:
- In \(Ag_2O\), silver (Ag) is in +1 oxidation state, and oxygen is in -2.
- In \(2Ag\), silver is in 0 oxidation state (indicating a reduction of silver from +1 to 0).
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Similarly, for \(H_2O_2\):
- The oxygen in \(H_2O_2\) (with oxidation state -1) changes to molecular oxygen (\(O_2\), with oxidation state 0), indicating it is itself being oxidized.
- Since \(H_2O_2\) helps in reducing \(Ag_2O\) to \(Ag\), it is acting as a reducing agent here as well.
By analyzing both reactions, we conclude that hydrogen peroxide (\(H_2O_2\)) behaves as a reducing agent in both (a) and (b).
Thus, the correct answer is Reducing in (a) and (b).