The reaction of hydrogen peroxide (\(H_2O_2\)) with acidified potassium permanganate (\(KMnO_4\)) is a redox reaction where \(H_2O_2\) acts as a reducing agent, and \(KMnO_4\) is reduced in an acidic medium. Let's solve this problem step-by-step by understanding the chemical reaction and identifying the products.
Step 1: Understand the Reaction
In acidic conditions, the balanced redox reaction between hydrogen peroxide and potassium permanganate is:
\(2 KMnO_4 + 3 H_2SO_4 + 5 H_2O_2 \rightarrow 2 MnSO_4 + K_2SO_4 + 5 O_2 + 8 H_2O\)
In this reaction:
Step 2: Identify the Products
From the balanced reaction, the products formed are:
Step 3: Conclusion
Thus, the correct answer is \(Mn^{2+}, H_2O, O_2 \;only\). Therefore, the option \(Mn^{2+}, H_2O, O_2 \;only\) is correct.
Other options can be ruled out based on the oxidation state changes and the products that could form in this acidic redox reaction.