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Balance these reactions: (a) \(\mathrm{Mo-O}_{u}(s)+\mathrm{MnO}_{4}^{-}(a q) \rightarrow \mathrm{MoO}_{4}(s)+\mathrm{Mn}^{2}(a q)\) (acidic solution) (b) \(\mathrm{BrO}^{-}(a q)+\mathrm{Cr}\left(\mathrm{OH}_{4}^{-}(a q) \longrightarrow\right.\) \(\mathrm{Br}^{-}\left(\mathrm{aq}_{)}\right)+\mathrm{CrO}_{4}^{-}(\mathrm{aq})\) (basic solution) (c) \(\mathrm{S}_{2} \mathrm{O}^{2}-(a q)+\mathrm{MnO}_{4}^{-}(a q) \rightarrow\) \(\mathrm{SO}_{4}^{2}(a q)+\mathrm{MnO}_{2}(s)\) (basic solution)

Short Answer

Expert verified
For part (a): 8H鈦 + MnO鈧勨伝 + Mo-O鈧 鈫 Mn虏鈦 + MoO鈧 + 4H鈧侽. For part (b): 4Cr(OH)鈧勨伝 + 3BrO鈦 鈫 2CrO鈧劼测伝 + 3Br鈦 + 4OH鈦. For part (c): 2MnO鈧勨伝 + 3S鈧侽鈧兟测伝 鈫 2MnO鈧 + 3SO鈧劼测伝.

Step by step solution

01

- Identify oxidation and reduction half-reactions (for part a)

Identify the oxidation states of each element to determine which species are being oxidized and reduced. For the given reaction:Mo-O鈧(s) + MnO鈧勨伝(aq) 鈫 MoO鈧(s) + Mn虏鈦(aq)Molybdenum (Mo) is oxidized, changing from a lower oxidation state to +6 in MoO鈧, and manganese (Mn) is reduced from +7 in MnO鈧勨伝 to +2 in Mn虏鈦.
02

- Write the half-reactions (for part a)

Write separate half-reactions for oxidation and reduction:Oxidation half-reaction: Mo-O鈧 鈫 MoO鈧凴eduction half-reaction: MnO鈧勨伝 鈫 Mn虏鈦
03

- Balance oxygen atoms (for part a)

Balance oxygen atoms in the half-reactions by adding H鈧侽:Oxidation: Mo-O鈧 + 4H鈧侽 鈫 MoO鈧凴eduction: MnO鈧勨伝 鈫 Mn虏鈦 + 4H鈧侽
04

- Balance hydrogen atoms (for part a)

Balance hydrogen by adding H鈦 ions:Oxidation: Mo-O鈧 + 4H鈧侽 鈫 MoO鈧 + 8H鈦篟eduction: MnO鈧勨伝 + 8H鈦 鈫 Mn虏鈦 + 4H鈧侽
05

- Balance the charges (for part a)

Balance the charge by adding electrons (e鈦):Oxidation: Mo-O鈧 + 4H鈧侽 鈫 MoO鈧 + 8H鈦 + 6e鈦籖eduction: MnO鈧勨伝 + 8H鈦 + 5e鈦 鈫 Mn虏鈦 + 4H鈧侽
06

- Combine and balance the overall equation (for part a)

Multiply the half-reactions to equalize the number of electrons and combine them:10H鈦 + MnO鈧勨伝 + Mo-O鈧 鈫 Mn虏鈦 + MoO鈧 + 4H鈧侽Balanced equation in acidic solution: 10H鈦 + 2MnO鈧勨伝 + 2Mo-O鈧 鈫 2Mn虏鈦 + 2MoO鈧 + 8H鈧侽
07

- Identify oxidation and reduction half-reactions (for part b)

For the reaction:BrO鈦(aq) + Cr(OH)鈧勨伝(aq) 鈫 Br鈦(aq) + CrO鈧劼测伝(aq)Bromine (Br) is reduced from +1 in BrO鈦 to -1 in Br鈦, and chromium (Cr) is oxidized from +3 in Cr(OH)鈧勨伝 to +6 in CrO鈧劼测伝.
08

- Write the half-reactions (for part b)

Oxidation half-reaction: Cr(OH)鈧勨伝 鈫 CrO鈧劼测伝Reduction half-reaction: BrO鈦 鈫 Br鈦
09

- Balance oxygen and hydrogen atoms (part b)

Oxidation: Cr(OH)鈧勨伝 鈫 CrO鈧劼测伝 + 2H鈧侽Reduction: BrO鈦 + 2H鈧侽 鈫 Br鈦 + 2OH鈦
10

- Balance the charges (for part b)

Oxidation: Cr(OH)鈧勨伝 鈫 CrO鈧劼测伝 + 4e鈦籖eduction: BrO鈦 + 6e鈦 鈫 Br鈦 + 6H鈧侽
11

- Combine and balance the overall equation (for part b)

Combine the reactions:2Cr(OH)鈧勨伝 + 3BrO鈦 鈫 2CrO鈧劼测伝 + 3Br鈦 + 4OH鈦
12

- Identify oxidation and reduction half-reactions (for part c)

For the reaction:S鈧侽鈧兟测伝(aq) + MnO鈧勨伝(aq) 鈫 SO鈧劼测伝(aq) + MnO鈧(s)Sulfur (S) in S鈧侽鈧兟测伝 is oxidized to SO鈧劼测伝, and manganese (Mn) is reduced from +7 in MnO鈧勨伝 to +4 in MnO鈧.
13

- Write the half-reactions (for part c)

Oxidation half-reaction: S鈧侽鈧兟测伝 鈫 SO鈧劼测伝Reduction half-reaction: MnO鈧勨伝 鈫 MnO鈧
14

- Balance oxygen and hydrogen atoms (for part c)

Oxidation: S鈧侽鈧兟测伝 + 11H鈧侽 鈫 2SO鈧劼测伝 + 20H鈦篟eduction: MnO鈧勨伝 + 4H鈧侽 鈫 MnO鈧 + 8H鈦
15

- Balance the charges (for part c)

Oxidation: S鈧侽鈧兟测伝 鈫 2SO鈧劼测伝 + 2e鈦籖eduction: MnO鈧勨伝 + 4e鈦 鈫 MnO鈧
16

- Combine and balance the overall equation (for part c)

Multiply and combine the reactions:2MnO鈧勨伝 + 3S鈧侽鈧兟测伝 鈫 2MnO鈧 + 6SO鈧劼测伝

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Oxidation-Reduction Reactions
Oxidation-reduction reactions, also known as redox reactions, are chemical reactions that involve the transfer of electrons between two substances. These reactions are fundamental in various biological, industrial, and environmental processes. In a redox reaction, one substance loses electrons (oxidation) while the other gains electrons (reduction). Since these reactions are coupled, the loss and gain of electrons happen simultaneously.

Here鈥檚 an easy way to remember: OIL RIG.
  • OIL: Oxidation Is Loss (of electrons)
  • RIG: Reduction Is Gain (of electrons)
Let's break it down with an example: In the reaction \[\mathrm{Mo-O}_{u}(s)+\mathrm{MnO}_{4}^{-}(a q) \rightarrow \mathrm{MoO}_{4}(s)+\mathrm{Mn}^{2}(a q)\]

The Molybdenum (Mo) is oxidized as it loses electrons, while the Manganese (Mn) is reduced because it gains electrons. Identifying and understanding these reactions are key to mastering topics like energy production, metabolism, and even corrosion.
Half-Reactions
Half-reactions are a method of breaking down redox reactions into two simpler parts to simplify balancing. Each half-reaction either represents oxidation or reduction. By separating them, you isolate the transfer of electrons, making it easier to balance the equation.

For instance, in the redox reaction: \[\mathrm{Mo-O}_{u}(s)+\mathrm{MnO}_{4}^{-}(a q) \rightarrow \mathrm{MoO}_{4}(s)+\mathrm{Mn}^{2}(a q)\]

You can split it into:
  • Oxidation half-reaction: \[\mathrm{Mo-O}_{u} \rightarrow \mathrm{MoO}_{4} + 4H_{2}O\]
  • Reduction half-reaction: \[\mathrm{MnO}_{4}^{-} + 8H^{+} + 5e^{-} \rightarrow \mathrm{Mn}^{2+} + 4H_{2}O\]
Steps to balance half-reactions involve:

  • Balancing atoms other than oxygen and hydrogen first
  • Balancing oxygen atoms by adding \(H_{2}O\)
  • Balancing hydrogen atoms by adding \(H^{+}\) ions
  • Balancing charges by adding electrons \(e^{-}\)


Finally, you combine the balanced half-reactions, ensuring the same number of electrons are lost in oxidation and gained in reduction. This method makes it a lot easier to systematically approach more complex redox reactions.
Acidic and Basic Solutions
Balancing chemical equations often depend on whether the solution is acidic or basic. The environment changes how you address hydrogen and oxygen atoms in half-reactions.

In **acidic solutions**, focus on using \(H^{+}\) ions to balance hydrogen atoms. For example:
  • Oxidation half-reaction: \[\mathrm{Mo-O}_{u} + 4H_{2}O \rightarrow \mathrm{MoO}_{4} + 8H^{+} + 6e^{-}\]
  • Reduction half-reaction: \[\mathrm{MnO}_{4}^{-} + 8H^{+} + 5e^{-} \rightarrow \mathrm{Mn}^{2+} + 4H_{2}O\]
**Basic solutions** require using \(OH^{-}\) ions to balance hydrogen atoms. For instance:
  • Oxidation half-reaction: \[\mathrm{Cr(OH)_{4}^{-} \rightarrow CrO_{4}^{-} + 2H_{2}O + 4e^{-}}\]
  • Reduction half-reaction: \[\mathrm{BrO^{-} + 2H_{2}O + 6e^{-} \rightarrow Br^{-} + 6OH^{-}}\]


When balancing equations in basic solutions, you sometimes end up with extra \(H_{2}O\) or \(OH^{-}\) ions that you'll need to adjust by adding more water or hydroxide ions to both sides of the equation. Recognizing the solution type is essential because it dictates your approach to balancing redox reactions and helps ensure accuracy.

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Most popular questions from this chapter

(a) \(6 \mathrm{HNO}_{3}+\mathrm{S} \longrightarrow 6 \mathrm{NO}_{2}+\mathrm{H}_{2} \mathrm{SO}_{4}+2 \mathrm{H}_{2} \mathrm{O}\) (b) \(2 \mathrm{CrCl}_{b}+3 \mathrm{MnO}_{2}+2 \mathrm{H}_{2} \mathrm{O} \rightarrow 3 \mathrm{MnCl}_{2}+2 \mathrm{H}_{2} \mathrm{CrO}_{4}\) (c) \(\begin{aligned} 2 \mathrm{KMnO}_{4}+6 \mathrm{HCl}+& 5 \mathrm{H}_{2} \mathrm{~S} \rightarrow \\ & 2 \mathrm{KCl}+2 \mathrm{MnCl}_{2}+5 \mathrm{~S}+8 \mathrm{H}_{2} \mathrm{O} \end{aligned}\)

Use this unbalanced redox equation $$ \mathrm{KMnO}_{4}+\mathrm{HCl} \longrightarrow \mathrm{KCl}+\mathrm{MnCl}_{2}+\mathrm{H}_{2}+\mathrm{Cl}_{2} $$ to indicate (a) the oxidizing agent (b) the reducing agent (c) the number of electrons that are transferred per mole of oxid izing agcnt

The chemical reactions taking place during discharge in a lead storage battery are $$ \begin{gathered} \mathrm{Pb}+\mathrm{SO}^{-} \longrightarrow \mathrm{PbSO}_{4} \\ \mathrm{PbO}_{2}+\mathrm{SO}_{4}^{2}+4 \mathrm{H}^{+} \longrightarrow \mathrm{PbSO}_{4}+2 \mathrm{H}_{4} \mathrm{O} \end{gathered} $$ (a) Complete each half-reaction by supplying electrons. (b) Which reaction is oxidation, and which is reduction? (c) Which reaction occurs at the anode of the battery?

The following observations were made concerning metals \(A, B, C\), and \(D\). (a) When a strip of metal \(\mathrm{A}\) is placed in a solution of \(\mathrm{B}^{2+}\) aons, no reaction is observed. (b) Similarly, \(A\) in a solution containing \(\mathrm{C}^{+}\)ions produces no reaction. (c) When a strip of metal \(D\) is placed in a solut?on of " \(\mathrm{C}^{+}\)脿ns, black metallic C deposits on the surface of D, and the solution tests posatively for \(\mathrm{D}^{2+}\) tons. (d) When a piece of metallic B is placed in a solution of \(D^{2+}\) ions, metallic \(D\) appears on the surface of \(\mathrm{B}\) and \(\mathrm{B}^{2+}\) jons are found in the solution. Arrange the ions \(\mathrm{A}^{4}, \mathrm{~B}^{2+}, \mathrm{C}^{4}\), and \(\mathrm{D}^{24}\) in order of their ability to attract clectrons. List them in order of increasing ability.

Write equations for the chemical reaction of alumirum, chromium, gold, iron, coppcr, magnesium, mercury, and zinc with dilute solutions of (a) bydrochloric acid and (b) sulfuric acid. If a reaction will not occur, write "no reaction" as the

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