In aqueous solution, hydrogen sulfide reduces (a) \(\mathrm{Fe}^{3+}\) to \(\mathrm{Fe}^{2+},(\mathbf{b}) \mathrm{Br}_{2}\) to \(\mathrm{Br}^{-},(\mathbf{c}) \mathrm{MnO}_{4}^{-}\) to \(\mathrm{Mn}^{2+},(\mathbf{d}) \mathrm{HNO}_{3}\) to \(\mathrm{NO}_{2}\) In all cases, under appropriate conditions, the product is elemental sulfur. Write a balanced net ionic equation for each reaction.

Short Answer

Expert verified
The balanced net ionic equations for the given reactions are: Case (a): \(2 \, H_2S + 4Fe^{3+} \rightarrow S_2 + 4H^+ + 4Fe^{2+}\) Case (b): \(2 \, H_2S + Br_2 \rightarrow S_2 + 4H^+ + 4Br^-\) Case (c): \(5 \, H_2S + 4MnO_4^- + 16H^+ \rightarrow 2S_2 + 20H^+ + 4Mn^{2+} + 8H_2O\) Case (d): \(2 \, H_2S + 2HNO_3 \rightarrow S_2 + 4H^+ + 2NO_2 + 2H_2O\)

Step by step solution

01

Case (a): Fe³⁺ to Fe²⁺

For this reaction, we will write the oxidation half-reaction of hydrogen sulfide and the reduction half-reaction of Fe³⁺. Oxidation half-reaction: \(2 \, H_2S \rightarrow S_2 + 4H^+ + 4e^-\) Reduction half-reaction: \(Fe^{3+} + e^- \rightarrow Fe^{2+}\) To balance the charges and electrons, we need to multiply the reduction half-reaction by 4. This allows us to combine the two half-reactions to create the balanced net ionic equation: Final balanced net ionic equation: \(2 \, H_2S + 4Fe^{3+} \rightarrow S_2 + 4H^+ + 4Fe^{2+}\)
02

Case (b): Br₂ to Br⁻

For this case, we will write the oxidation half-reaction of hydrogen sulfide and the reduction half-reaction of Br₂. Oxidation half-reaction: \(2 \, H_2S \rightarrow S_2 + 4H^+ + 4e^-\) Reduction half-reaction: \(Br_2 + 2e^- \rightarrow 2Br^-\) To balance the charges and electrons, we need to multiply the reduction half-reaction by 2. This allows us to combine the two half-reactions to create the balanced net ionic equation: Final balanced net ionic equation: \(2 \, H_2S + Br_2 \rightarrow S_2 + 4H^+ + 4Br^-\)
03

Case (c): MnO₄⁻ to Mn²⁺

For this case, we will write the oxidation half-reaction of hydrogen sulfide and the reduction half-reaction of MnO₄⁻. Oxidation half-reaction: \(2 \, H_2S \rightarrow S_2 + 4H^+ + 4e^-\) Reduction half-reaction: \(MnO_4^- + 8H^+ + 5e^- \rightarrow Mn^{2+} + 4H_2O\) To balance the charges and electrons, we need to multiply the oxidation half-reaction by 5/2 and the reduction half-reaction by 2. This allows us to combine the two half-reactions to create the balanced net ionic equation: Final balanced net ionic equation: \(5 \, H_2S + 4MnO_4^- + 16H^+ \rightarrow 2S_2 + 20H^+ + 4Mn^{2+} + 8H_2O\)
04

Case (d): HNO₃ to NO₂

For this case, we will write the oxidation half-reaction of hydrogen sulfide and the reduction half-reaction of HNO₃. Oxidation half-reaction: \(2 \, H_2S \rightarrow S_2 + 4H^+ + 4e^-\) Reduction half-reaction: \(2HNO_3 + 2e^- \rightarrow 2NO_2 + 2H_2O\) We can simply combine the two half-reactions to create the balanced net ionic equation: Final balanced net ionic equation: \(2 \, H_2S + 2HNO_3 \rightarrow S_2 + 4H^+ + 2NO_2 + 2H_2O\)

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