Complete and balance the following half-reactions in basic solution. In each case, indicate whether the half-reaction is an oxidation or a reduction.
a. O2(𝑔)⟶H2O(𝑙)
b. Mn2+(𝑎𝑞)⟶MnO2(𝑠)
c. Cr(OH)3(𝑠)⟶CrO42−(𝑎𝑞)
d. N2H4(𝑎𝑞)⟶N2(𝑔)

검증된 단계별 안내

Step 1: Identify the oxidation states of the elements in the reactants and products to determine if the half-reaction is an oxidation or a reduction.

Step 2: For each half-reaction, balance the atoms other than oxygen and hydrogen first.

Step 3: Balance the oxygen atoms by adding H2O molecules to the side that needs oxygen.

Step 4: Balance the hydrogen atoms by adding H+ ions to the side that needs hydrogen.

Step 5: Since the solution is basic, add OH- ions to both sides of the equation to neutralize the H+ ions, forming water, and then simplify the equation by canceling out water molecules if possible.

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주요 개념

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Half-Reaction Method

The half-reaction method is a technique used to balance redox reactions by separating the oxidation and reduction processes. Each half-reaction shows the species being oxidized or reduced, along with the electrons involved. This method is particularly useful in basic solutions, where hydroxide ions (OH-) are added to balance the charges and atoms, ensuring that both mass and charge are conserved.

Oxidation and Reduction

Oxidation refers to the loss of electrons from a substance, resulting in an increase in oxidation state, while reduction involves the gain of electrons, leading to a decrease in oxidation state. In redox reactions, one species is oxidized and another is reduced. Identifying which species undergoes these changes is crucial for balancing half-reactions and understanding the overall reaction mechanism.

Basic Solution Conditions

In basic solutions, the presence of hydroxide ions (OH-) affects how half-reactions are balanced. When balancing in basic conditions, it is often necessary to add OH- ions to neutralize any H+ ions produced during the balancing process. This ensures that the final balanced equation accurately reflects the conditions of the reaction and maintains charge and mass balance.

Complete and balance the following half-reactions in basic solution. In each case, indicate whether the half-reaction is an oxidation or a reduction.a. O2(𝑔)⟶H2O(𝑙)b. Mn2+(𝑎𝑞)⟶MnO2(𝑠)c. Cr(OH)3(𝑠)⟶CrO42−(𝑎𝑞)d. N2H4(𝑎𝑞)⟶N2(𝑔)