For the following redox reaction, identify the reducing agent and the oxidizing agent.

[tex]\[
Mn(s) + Fe^{2+}(aq) \longrightarrow Mn^{2+}(aq) + Fe(s)
\][/tex]



Answer :

Of course! Let's analyze the given redox reaction step by step to identify the reducing agent and the oxidizing agent.

The reaction provided is:
[tex]\[ \text{Mn} (s) + \text{Fe}^{2+}(aq) \longrightarrow \text{Mn}^{2+}(aq) + \text{Fe} (s) \][/tex]

### Step 1: Determine the oxidation states of each element before and after the reaction.

- Manganese (Mn):
- Before the reaction: Mn is in its elemental form ([tex]\(\text{Mn} (s)\)[/tex]), so its oxidation state is 0.
- After the reaction: Mn is now in the form of [tex]\(\text{Mn}^{2+}\)[/tex], so its oxidation state is +2.

- Iron (Fe):
- Before the reaction: Fe is in the form of [tex]\(\text{Fe}^{2+}\)[/tex], so its oxidation state is +2.
- After the reaction: Fe is in its elemental form ([tex]\(\text{Fe} (s)\)[/tex]), so its oxidation state is 0.

### Step 2: Identify which element is oxidized and which is reduced.

- Oxidation: This process involves the loss of electrons.
- Mn goes from an oxidation state of 0 to +2, meaning Mn loses 2 electrons. Therefore, Mn is oxidized.

- Reduction: This process involves the gain of electrons.
- Fe goes from an oxidation state of +2 to 0, meaning Fe gains 2 electrons. Therefore, Fe is reduced.

### Step 3: Determine the reducing agent and the oxidizing agent.

- Reducing Agent: The substance that is oxidized (loses electrons) and, in doing so, reduces another substance.
- In this reaction, Mn (s) loses electrons, so [tex]\(\text{Mn} (s)\)[/tex] is the reducing agent.

- Oxidizing Agent: The substance that is reduced (gains electrons) and, in doing so, oxidizes another substance.
- In this reaction, [tex]\(\text{Fe}^{2+}(aq)\)[/tex] gains electrons, so [tex]\(\text{Fe}^{2+}(aq)\)[/tex] is the oxidizing agent.

### Conclusion
Based on the analysis:

- The reducing agent is [tex]\( \text{Mn} (s) \)[/tex].
- The oxidizing agent is [tex]\( \text{Fe}^{2+}(aq) \)[/tex].

Thus, we have systematically identified the reducing agent and the oxidizing agent for the given redox reaction.