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Describe what you expect to happen when the following solutions are electrolyzed: (a) aqueous \(\mathrm{Na}_{2} \mathrm{SO}_{4}\); (b) aqueous KBr. That is, what are the electrode reactions? What is the overall reaction

Short Answer

Expert verified
For Na鈧係O鈧: 2H鈧侽 鈫 2H鈧 + O鈧. For KBr: 2H鈧侽 + 2Br鈦 鈫 H鈧 + Br鈧 + 2OH鈦.

Step by step solution

01

Identify the Ions in the Solution

For aqueous \(Na_2SO_4\), the ions present are \(Na^+\), \(SO_4^{2-}\), and water (H鈧侽). For aqueous KBr, the ions are \(K^+\), \(Br^-\), and water.
02

Determine the Chemical Reduction and Oxidation Tendencies

Water can undergo reduction to produce hydrogen gas and hydroxide ions: \(2H_2O + 2e^- \rightarrow H_2 + 2OH^-\). Water can also be oxidized to produce oxygen gas and hydrogen ions: \(2H_2O \rightarrow O_2 + 4H^+ + 4e^-\). Sodium and potassium are less likely to be reduced as they are very stable in their ionic form.
03

Write the Electrode Reactions for Na2SO4

For Na鈧係O鈧, at the anode, water is oxidized: \(2H_2O \rightarrow O_2 + 4H^+ + 4e^-\). At the cathode, water is reduced: \(2H_2O + 2e^- \rightarrow H_2 + 2OH^-\).
04

Write the Overall Reaction for Electrolysis of Na2SO4

The overall reaction for the electrolysis of Na鈧係O鈧 solution is the summation of both half-reactions, showing the net reaction as: \(2H_2O \rightarrow 2H_2 + O_2\).
05

Write the Electrode Reactions for KBr

For KBr, at the anode, bromide ions are oxidized: \(2Br^- \rightarrow Br_2 + 2e^-\). At the cathode, water is reduced: \(2H_2O + 2e^- \rightarrow H_2 + 2OH^-\).
06

Write the Overall Reaction for Electrolysis of KBr

The overall reaction for the electrolysis of KBr solution can be expressed as: \(2H_2O + 2Br^- \rightarrow H_2 + Br_2 + 2OH^-\).

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Key Concepts

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

Aqueous Solutions
Aqueous solutions involve dissolving a substance in water, where water is the solvent. In the context of electrolysis, understanding what an aqueous solution contains is crucial. For example, when sodium sulfate ( Na_2SO_4 ) or potassium bromide (KBr) is dissolved in water, the resulting solution contains ions from these compounds. Sodium sulfate dissociates into Na^+ and SO_4^{2-} ions, while potassium bromide breaks down into K^+ and Br^- ions.
Additionally, water itself can ionize slightly, contributing H^+ and OH^- ions to the mix. This creates a dynamic environment where various possible reactions can occur, depending on factors such as the applied electrical potential and ion species present.
This highlights the importance of identifying all existing ions to predict the behavior during electrolysis.
Electrode Reactions
In electrolysis, electrode reactions are crucial since they determine what chemical changes occur. These reactions take place at the electrodes - the anode and the cathode. Actions at the anode and cathode can vary greatly based on the substances involved.
For an aqueous Na_2SO_4 solution:
  • The anode facilitates oxidation. Here, water is oxidized, producing oxygen gas ( O_2 ) and H^+ ions, while releasing electrons ( 4e^- ).
  • At the cathode, water undergoes reduction to form hydrogen gas ( H_2 ) and hydroxide ions ( OH^- ).
For aqueous KBr, the reactions differ slightly at the anode:
  • Bromide ions ( Br^- ) oxidize to produce bromine gas ( Br_2 ) and release electrons.
  • Similarly to Na鈧係O鈧, water is reduced at the cathode to H_2 and OH^- ions.
These individual electrode reactions help us piece together the entire electrochemical process.
Chemical Reduction
Chemical reduction refers to the gain of electrons by a molecule, atom, or ion. It is a fundamental concept in both electrochemistry and general chemistry.
In electrolysis, reduction occurs at the cathode. Let's consider the examples:
  • In the electrolysis of an aqueous Na_2SO_4 solution, water gains electrons to form H_2 gas and OH^- ions. This reaction can be expressed as: \[2H_2O + 2e^- \rightarrow H_2 + 2OH^-\].
  • Similarly, during the electrolysis of KBr, water also undergoes reduction, producing H_2 gas and OH^- ions.
The tendency of water to accept electrons and form hydrogen gas is favored over the reduction of sodium (Na^+) or potassium (K^+) ions, due to their stable ionic form.
Oxidation
Oxidation involves the loss of electrons, and is the reaction counterpart to reduction. During electrolysis, oxidation takes place at the anode.
For the electrolysis of aqueous Na_2SO_4:
  • Water molecules lose electrons to form oxygen gas (O_2), along with H^+ ions: \[2H_2O \rightarrow O_2 + 4H^+ + 4e^-\].
In the case of KBr:
  • The Br^- ions are oxidized to form bromine gas (Br_2), releasing electrons: \[2Br^- \rightarrow Br_2 + 2e^-\].
Understanding which species undergo oxidation helps predict the products of the electrolysis and highlights the direction of electron flow.
Overall Reaction
An overall reaction sums up the individual steps in a chemical process. During electrolysis, it combines the cathodic reduction and anodic oxidation reactions.
For aqueous Na_2SO_4, the overall reaction is simply: \[2H_2O \rightarrow 2H_2 + O_2\]. This reflects the breakdown of water into its gaseous components, showing only the net change after electron transfer steps cancel each other out.
In the case of KBr, the overall reaction is written as: \[2H_2O + 2Br^- \rightarrow H_2 + Br_2 + 2OH^-\]. This includes contributions from both the electrolyte and water, highlighting the diverse range of products from electrolysis.
Overall reactions provide a concise way to view what transformations occur in the solution, serving as an essential tool for understanding electrochemical reactions.

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