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Question

Question: What is number of moles of electrons gained by one mole of oxidizing agent in the following reaction...

What is number of moles of electrons gained by one mole of oxidizing agent in the following reaction?

Mn(aq)2++2ClO3(aq)MnO2(s)+2ClO2(aq)Mn^{2+}_{(aq)} + 2ClO_{3(aq)} \longrightarrow MnO_{2(s)} + 2ClO_{2(aq)}

A

4

B

3

C

2

Answer

2

Explanation

Solution

  1. Identify the oxidizing agent: In a redox reaction the oxidizing agent is reduced. Here, the chlorine‐containing species is converted from \ceClO3\ce{ClO3} to \ceClO2\ce{ClO2}.

  2. Assign oxidation numbers (using the neutral molecule interpretation): For a neutral molecule \ceClO3\ce{ClO3}:

Let oxidation number of Cl be x;x+3(2)=0    x=+6.\text{Let oxidation number of Cl be }x;\quad x + 3(-2)=0\implies x=+6.

For \ceClO2\ce{ClO2}:

x+2(2)=0    x=+4.x+2(-2)=0\implies x=+4.
  1. Determine the change in oxidation state: Chlorine goes from +6+6 in \ceClO3\ce{ClO3} to +4+4 in \ceClO2\ce{ClO2}. Thus, each chlorine atom gains
+6(+4)=2 electrons.+6 - (+4) = 2 \text{ electrons.}
  1. Answer the question: Hence, one mole of the oxidizing agent (i.e. one mole of \ceClO3\ce{ClO3}) gains 2 moles of electrons.