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Assume a reaction takes place in a basic solution to form the given products MnO₄-(aq) + Cl-(aq) = MnO₂(s) + Cl₂(g) (unbalanced)

Balance the given half reactions for atoms and charge
a. MnO₄- + 2H₂O = MnO₂ + 4OH-
b. MnO₄- + H₂O = MnO₂ + 2OH-
c. MnO₄- + 3H₂O = MnO₂ + 2OH-
d. 2MnO₄- + 4H₂O = 2MnO₂ + 8OH-

1 Answer

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Final answer:

To balance the given half-reactions, analyze each option and determine which one has an equal number of atoms and charge on both sides of the reaction.

Step-by-step explanation:

To balance the given half-reactions, we need to balance the number of atoms and the charge. Let's analyze each option:

a. MnO₄- + 2H₂O = MnO₂ + 4OH-

b. MnO₄- + H₂O = MnO₂ + 2OH-

c. MnO₄- + 3H₂O = MnO₂ + 2OH-

d. 2MnO₄- + 4H₂O = 2MnO₂ + 8OH-

From the given options, option d is the correct balanced half-reaction for atoms and charge. Both sides of the reaction have the same number of atoms and the same charge. Therefore, the correct answer is d.

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