(25) With respect to the following unbalanced redox equation that takes place in basic soluti MnO₂ (s) + V2+ (aq) → VO3 (aq) + Mn²+ (aq) The stoichiometric coefficient on VO3 (aq) will be: (A) 1 (B) 2 (C) 4 (D) (E) 6 12

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**Determining the Stoichiometric Coefficient in a Redox Reaction**

### Analyzing a Redox Equation in Basic Solution

To enhance understanding of redox reactions, consider the following unbalanced redox equation that occurs in a basic solution:

\[ \text{MnO}_2 (s) + \text{V}^{2+} (aq) \rightarrow \text{VO}_3^- (aq) + \text{Mn}^{2+} (aq) \]

In this context, we aim to determine the stoichiometric coefficient for the product \(\text{VO}_3^- (aq)\).

### Stoichiometric Coefficient Options:

1. **(A) 1**
2. **(B) 2**
3. **(C) 4**
4. **(D) 6**
5. **(E) 12**

To find the correct option, you'd need to balance the redox equation, ensuring that the number of atoms and the charges are balanced on both sides of the equation. Consider the oxidation states of the elements involved, and apply the principles of balancing redox reactions.

---

**Tip for Balancing Redox Equations:**
1. Separate the reaction into half-reactions.
2. Balance each half-reaction for mass and charge.
3. Combine the balanced half-reactions, ensuring that the electrons lost in the oxidation reaction equal the electrons gained in the reduction reaction.
4. Adjust the coefficients to balance the overall redox equation in a basic solution, adding \(\text{OH}^-\) ions and water as necessary.

By following these steps, you can determine the correct stoichiometric coefficient for \(\text{VO}_3^- (aq)\).
Transcribed Image Text:**Determining the Stoichiometric Coefficient in a Redox Reaction** ### Analyzing a Redox Equation in Basic Solution To enhance understanding of redox reactions, consider the following unbalanced redox equation that occurs in a basic solution: \[ \text{MnO}_2 (s) + \text{V}^{2+} (aq) \rightarrow \text{VO}_3^- (aq) + \text{Mn}^{2+} (aq) \] In this context, we aim to determine the stoichiometric coefficient for the product \(\text{VO}_3^- (aq)\). ### Stoichiometric Coefficient Options: 1. **(A) 1** 2. **(B) 2** 3. **(C) 4** 4. **(D) 6** 5. **(E) 12** To find the correct option, you'd need to balance the redox equation, ensuring that the number of atoms and the charges are balanced on both sides of the equation. Consider the oxidation states of the elements involved, and apply the principles of balancing redox reactions. --- **Tip for Balancing Redox Equations:** 1. Separate the reaction into half-reactions. 2. Balance each half-reaction for mass and charge. 3. Combine the balanced half-reactions, ensuring that the electrons lost in the oxidation reaction equal the electrons gained in the reduction reaction. 4. Adjust the coefficients to balance the overall redox equation in a basic solution, adding \(\text{OH}^-\) ions and water as necessary. By following these steps, you can determine the correct stoichiometric coefficient for \(\text{VO}_3^- (aq)\).
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