$H _2 O _2$ acts as a reducing agent in
To determine where \(H_2O_2\) acts as a reducing agent, we must identify a reaction where \(H_2O_2\) donates electrons. In chemical terms, a reducing agent is a substance that reduces another substance and itself becomes oxidized, losing electrons in the process.
Let's analyze each option:
\(Na_2 S + 4H_2O_2 \rightarrow Na_2SO_4 + 4H_2O\): In this reaction, \(H_2O_2\) is acting as an oxidizing agent as it oxidizes \(Na_2S\) to \(Na_2SO_4\). Hence, not acting as a reducing agent.
\(Mn^{2+} + 2H_2O_2 \rightarrow MnO_2 + 2H_2O\): In this reaction, \(H_2O_2\) acts as an oxidizing agent by oxidizing \(Mn^{2+}\) to \(MnO_2\). Thus, \(H_2O_2\) is oxidizing, not reducing.
\(2Fe^{2+} + 2H^{+} + H_2O_2 \rightarrow 2Fe^{3+} + 2H_2O\): Here, \(H_2O_2\) oxidizes \(Fe^{2+}\) to \(Fe^{3+}\) and acts as the oxidizing agent, not the reducing agent.
\(2NaOCl + H_2O_2 \rightarrow 2NaCl + H_2O + O_2\): In this reaction, \(H_2O_2\) acts as a reducing agent as it reduces \(NaOCl\) to \(NaCl\) while itself gets oxidized to \(O_2\). Thus, \(H_2O_2\) is indeed acting as a reducing agent.
Thus, the correct answer is: \(2NaOCl + H_2O_2 \rightarrow 2NaCl + H_2O + O_2\), where \(H_2O_2\) is a reducing agent.