Question

Difficulty: EasyBalancing Redox Equations and Half-Reactions
In the reduction half-reaction Fe3+(aq)+neFe(s)\text{Fe}^{3+}(\text{aq}) + n e^- \rightarrow \text{Fe}(\text{s}) what is the value of nn required to balance the electrical charge?
  1. A
    11
  2. B
    22
  3. 33Answer
  4. D
    66

Answer

The value of nn is 33.
To reduce one Fe3+\text{Fe}^{3+} ion with a +3+3 charge to a neutral iron atom with a 00 charge, exactly 33 electrons (each carrying a charge of 1-1) must be added to the reactant side so that the net charge on both sides equals 00.

Step-by-Step Solution

1
Determine the charge on the reactant side and product side
The left side has one Fe3+\text{Fe}^{3+} ion with a charge of +3+3. The right side has neutral Fe(s)\text{Fe}(\text{s}) with a charge of 00.
Charge conservation must be satisfied in a balanced half-reaction.
2
Calculate the number of negative electrons (ee^-) required to balance net charge
+3+n(1)=0    n=3+3 + n(-1) = 0 \implies n = 3.
Each electron carries a single negative charge (1-1).

Key Concept

Charge conservation in half-reactions
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