Find out the compounds that will disproportionate in their aqueous solution.
`(I)ClO_(4)^(-)overst(+0.36V)rarr ClO_(3)^(-) overset(+0.33V)rarr ClO_(2) overset(+0.66V)rarr OC l^(-)overset(+0.40V)rarr(1)/(2)Cl_(2)overset(+1.36)rarr Cl^(-)`
`(II)MnO_(4)^(-)overset(+0.56)rarrMnO_(4)^(2-)overset(+2.22V)rarrMnO_(2)overset(+0.95V)rarrMn^(3+)overset(+1.55)rarrMn^(2+)overset((-0.19)V)rarrMn`

Options

A.
B.
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D.

Answer

To determine which compounds will undergo disproportionation in their aqueous solutions, we need to analyze the given half-reaction potentials and identify the species that have a higher reduction potential on the right side compared to the left side.

### Step-by-Step Solution:

1. **Identify the Half-Reactions and Their Potentials**:
- For the first set:
- \( ClO_4^- \) to \( ClO_3^- \) (0.36 V)
- \( ClO_3^- \) to \( ClO_2 \) (0.33 V)
- \( ClO_2 \) to \( Cl^- \) (0.66 V)
- \( Cl^- \) to \( \frac{1}{2} Cl_2 \) (1.36 V)

- For the second set:
- \( MnO_4^- \) to \( MnO_4^{2-} \) (0.56 V)
- \( MnO_4^{2-} \) to \( MnO_2 \) (2.22 V)
- \( MnO_2 \) to \( Mn^{3+} \) (0.95 V)
- \( Mn^{3+} \) to \( Mn^{2+} \) (1.55 V)
- \( Mn^{2+} \) to \( Mn \) (-0.19 V)

2. **Analyze the First Set of Reactions**:
- Compare the potentials:
- \( ClO_2 \) (0.66 V) > \( ClO_3^- \) (0.33 V) → Disproportionation possible.
- \( Cl^- \) (1.36 V) > \( ClO_2 \) (0.66 V) → Disproportionation possible.
- Thus, \( ClO_2 \) and \( Cl_2 \) will undergo disproportionation.

3. **Analyze the Second Set of Reactions**:
- Compare the potentials:
- \( MnO_4^- \) (0.56 V) < \( MnO_4^{2-} \) (2.22 V) → Disproportionation possible.
- \( MnO_4^{2-} \) (2.22 V) > \( MnO_2 \) (0.95 V) → Disproportionation possible.
- \( Mn^{3+} \) (1.55 V) > \( Mn^{2+} \) (-0.19 V) → No disproportionation.
- Thus, \( MnO_4^{2-} \) and \( Mn^{3+} \) will undergo disproportionation.

4. **Final Conclusion**:
- The compounds that will disproportionate in their aqueous solution are:
- From the first set: \( ClO_2 \) and \( Cl_2 \)
- From the second set: \( MnO_4^{2-} \) and \( Mn^{3+} \)

### Summary of Disproportionating Compounds:
- **First Set**: \( ClO_2 \), \( Cl_2 \)
- **Second Set**: \( MnO_4^{2-} \), \( Mn^{3+} \)