Using standard molar for aynamic values, Is tHIS spontaneous at 1000.°C? 3. Balance the following reactions using the half reaction method: a. Cd(s) + Cr,0,2²(aq) S Cd²*(aq) + Cr³*(aq) b. O2(aq) + SO2(aq) S SO,? (aq) + H2O2(g) c. S,032 (aq) + Br2(1) 5 SO,² (aq) + Br (aq) d. Al(s) + MnO4 (aq) S Al(OH),1(aq) + MnO2(s) [acidic solution] [basic solution] [acidic solution] [basic solution]

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## Balancing Redox Reactions Using the Half Reaction Method

### Task

3. Balance the following reactions using the half reaction method:

a. \( \text{Cd(s)} + \text{Cr}_2\text{O}_7^{2-}(\text{aq}) \rightleftharpoons \text{Cd}^{2+}(\text{aq}) + \text{Cr}^{3+}(\text{aq}) \) [acidic solution]

b. \( \text{O}_2(\text{aq}) + \text{SO}_2(\text{aq}) \rightleftharpoons \text{SO}_4^{2-}(\text{aq}) + \text{H}_2\text{O}_2(\text{g}) \) [basic solution]

c. \( \text{S}_2\text{O}_3^{2-}(\text{aq}) + \text{Br}_2(l) \rightleftharpoons \text{SO}_4^{2-}(\text{aq}) + \text{Br}^1(\text{aq}) \) [acidic solution]

d. \( \text{Al(s)} + \text{MnO}_4^{-1}(\text{aq}) \rightleftharpoons \text{Al(OH)}_4^{-1}(\text{aq}) + \text{MnO}_2(s) \) [basic solution]

### Explanation

For the reactions listed, use the half reaction method to balance redox reactions in both acidic and basic solutions. The approach involves separating the oxidation and reduction processes, balancing the atoms and charges, and then combining the half-reactions to form a balanced overall reaction.
Transcribed Image Text:## Balancing Redox Reactions Using the Half Reaction Method ### Task 3. Balance the following reactions using the half reaction method: a. \( \text{Cd(s)} + \text{Cr}_2\text{O}_7^{2-}(\text{aq}) \rightleftharpoons \text{Cd}^{2+}(\text{aq}) + \text{Cr}^{3+}(\text{aq}) \) [acidic solution] b. \( \text{O}_2(\text{aq}) + \text{SO}_2(\text{aq}) \rightleftharpoons \text{SO}_4^{2-}(\text{aq}) + \text{H}_2\text{O}_2(\text{g}) \) [basic solution] c. \( \text{S}_2\text{O}_3^{2-}(\text{aq}) + \text{Br}_2(l) \rightleftharpoons \text{SO}_4^{2-}(\text{aq}) + \text{Br}^1(\text{aq}) \) [acidic solution] d. \( \text{Al(s)} + \text{MnO}_4^{-1}(\text{aq}) \rightleftharpoons \text{Al(OH)}_4^{-1}(\text{aq}) + \text{MnO}_2(s) \) [basic solution] ### Explanation For the reactions listed, use the half reaction method to balance redox reactions in both acidic and basic solutions. The approach involves separating the oxidation and reduction processes, balancing the atoms and charges, and then combining the half-reactions to form a balanced overall reaction.
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