Which is the strongest oxidising agent among Cr\(^{3+}\), V\(^{3+}\), and Mn\(^{3+}\)?
To determine which ion is the strongest oxidising agent, we need to consider the standard reduction potentials (E°) of the half-reactions involving these ions. A stronger oxidising agent corresponds to a more positive reduction potential.
The reduction half-reactions and their standard electrode potentials are as follows:
1. For Chromium (Cr\(^{3+}\)):
\[ \text{Cr}^{3+} + 3e^- \rightarrow \text{Cr} \quad E^\circ = -0.74\,V \]
2. For Vanadium (V\(^{3+}\)):
\[ \text{V}^{3+} + 3e^- \rightarrow \text{V} \quad E^\circ = -0.26\,V \]
3. For Manganese (Mn\(^{3+}\)):
\[ \text{Mn}^{3+} + e^- \rightarrow \text{Mn}^{2+} \quad E^\circ = +1.51\,V \]
Step 1: Understanding Oxidising Agent Strength
An oxidising agent is a species that gains electrons (is reduced) in a chemical reaction. The stronger the oxidising agent, the more easily it will accept electrons.
Step 2: Compare Reduction Potentials
- Cr\(^{3+}\) has a reduction potential of \( -0.74\,V \).
- V\(^{3+}\) has a reduction potential of \( -0.26\,V \).
- Mn\(^{3+}\) has a reduction potential of \( +1.51\,V \).
Conclusion:
Mn\(^{3+}\) is the strongest oxidising agent among Cr\(^{3+}\), V\(^{3+}\), and Mn\(^{3+}\) because it has the most positive reduction potential of \( +1.51\,V \), indicating it is most easily reduced. The more positive the reduction potential, the stronger the oxidising agent.