To determine the quantity of electricity required to completely oxidize MnO_4^{2-} to MnO_4^{-}, we need to understand the change in oxidation state and use Faraday’s Laws of Electrolysis.
The oxidation of MnO_4^{2-} to MnO_4^{-} can be represented as:
MnO_4^{2-} \rightarrow MnO_4^{-} + e^–
From the equation, it is clear that each mole of MnO_4^{2-} requires 1 mole of electrons to be converted to MnO_4^{-}. Thus, 1 electron is involved in the reaction.
According to Faraday’s laws, the quantity of electricity (Q) required to transfer a mole of electrons is given by Q = n \cdot F, where:
In this case, for 0.1 mol of MnO_4^{2-}, the number of moles of electrons required is:
n = 0.1 \, mol \times 1 = 0.1 \, mol
Now, calculate the quantity of electricity:
Q = 0.1 \, mol \times 96500 \, C/mol = 9650 \, C
Thus, the correct answer is 9650 \, C.
Conclusion: The amount of electricity required to oxidize 0.1 mol of MnO_4^{2-} to MnO_4^{-} is 9650 C, making the correct answer 9650 C.