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Write equations for the half-reactions that occur at the anode and cathode in the electrolysis of molten KBr. What are the products formed at the anode and cathode in the electrolysis of aqueous KBr?

Short Answer

Expert verified
In molten KBr electrolysis, Br鈧 forms at the anode and K at the cathode. For aqueous KBr, Br鈧 forms at the anode and H鈧 at the cathode.

Step by step solution

01

Understanding Electrolysis of Molten KBr

In the electrolysis of molten KBr, the compound is broken into its ions: K鈦 and Br鈦. Electrolysis of molten salts requires the compound to be in a liquid state, which allows the free movement of ions.
02

Identifying Anode and Cathode Reactions

In electrolysis, the anode is where oxidation occurs and the cathode is where reduction occurs. For KBr, the Br鈦 ions will undergo oxidation at the anode, and the K鈦 ions will undergo reduction at the cathode.
03

Writing the Anode Reaction

At the anode, each Br鈦 ion loses an electron to form Br鈧 gas. The half-reaction is: \[2 ext{Br}^- ightarrow ext{Br}_2 + 2e^-\]
04

Writing the Cathode Reaction

At the cathode, K鈦 ions gain electrons to form potassium metal. The half-reaction is: \[ ext{K}^+ + e^- ightarrow ext{K}\]
05

Products of Anode and Cathode Reactions

In the electrolysis of molten KBr, bromine gas Br鈧 is produced at the anode, and solid potassium K is produced at the cathode.
06

Electrolysis of Aqueous KBr: Understanding Solution Characteristics

When electrolyzing aqueous KBr, water participates in the reactions. Consider the possible reactions involving both the ions from KBr and water.
07

Determining Aqueous Anode Products

At the anode, water can also be oxidized but oxidation potential favors Br鈦 ions, producing Br鈧 gas. The reaction is: \[2 ext{Br}^- ightarrow ext{Br}_2 + 2e^-\]
08

Determining Aqueous Cathode Products

At the cathode, water is reduced instead of K鈦 ions, forming hydrogen gas and hydroxide ions. The reaction is: \[2 ext{H}_2 ext{O} + 2e^- ightarrow ext{H}_2 + 2 ext{OH}^-\]
09

Final Products for Aqueous KBr Electrolysis

For aqueous KBr electrolysis, Br鈧 gas is formed at the anode, while H鈧 gas is produced at the cathode.

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Key Concepts

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

Anode Reactions
In electrochemical processes, the anode is the site where oxidation takes place. This means that anions, which are negatively charged ions, lose electrons. During the electrolysis of potassium bromide (KBr), we examine both molten and aqueous forms separately. In the case of molten KBr, the anions are bromide ions (Br鈦).
These ions lose electrons at the anode, forming bromine gas \( \text{Br}_2 \). The half-reaction can be expressed as:
  • \( 2\text{Br}^- \rightarrow \text{Br}_2 + 2e^- \)
This reaction highlights the oxidation process, where electrons are removed from Br鈦 ions.
It's important to note that anode reactions are responsible for losing electrons, termed oxidation.

For aqueous KBr, despite the presence of water, bromide ions remain the preferred species oxidized at the anode. Thus, the reaction remains the same 鈥 producing bromine gas.
Cathode Reactions
At the cathode, reduction occurs, meaning cations gain electrons. During the electrolysis of molten KBr, potassium ions (K鈦) are present and seek to gain electrons to become potassium metal \( \text{K} \).
The reduction half-reaction at the cathode is written as:
  • \( \text{K}^+ + e^- \rightarrow \text{K} \)
This reaction emphasizes the process of reduction, where K鈦 ions gain electrons to form solid potassium.

In the case of aqueous KBr, the presence of water changes the cathode reaction's dynamics. Instead of potassium ions being reduced, water molecules are more favorably reduced.
This results in the production of hydrogen gas \( \text{H}_2 \) and hydroxide ions \( \text{OH}^- \), expressed as:
  • \( 2\text{H}_2\text{O} + 2e^- \rightarrow \text{H}_2 + 2\text{OH}^- \)
Reduction at the cathode is a key step in understanding the overall electrochemical process.
Molten and Aqueous Electrolysis
Electrolysis can occur in either molten or aqueous environments, each involving distinct considerations and outcomes. Molten electrolysis refers to the process carried out in the absence of water, where the substance is liquefied due to high heat.
With molten KBr, the compound breaks into K鈦 and Br鈦 ions that freely move, facilitating their respective reactions at the electrodes.

Aqueous electrolysis, on the other hand, involves additional components such as water molecules that can partake in or alter the expected reactions. In aqueous solutions, often the solvent (water) is also able to participate in the reduction or oxidation due to its electrochemical properties.
For KBr in an aqueous state:
  • The anode typically favors bromide ions leading to the formation of bromine gas.
  • The cathode prefers to reduce water, thus generating hydrogen gas and hydroxide ions.
This variation emphasizes the significance of the medium in determining the products of electrolysis.
Oxidation and Reduction
Two fundamental concepts vital to understanding electrochemical reactions are oxidation and reduction. Together, these processes are often referred to as redox reactions.
Oxidation involves losing electrons, while reduction deals with gaining electrons. These reactions must occur simultaneously and go hand in hand.

In the context of electrolysis:
  • At the anode, oxidation occurs when Br鈦 ions lose electrons to form bromine gas.
  • Conversely, at the cathode, reduction takes place as K鈦 ions gain electrons to become potassium metal in molten KBr.
In the aqueous KBr situation, water is instead reduced at the cathode to produce hydrogen gas.
The balance of these processes is essential, as it ensures electron flow through the external circuit, which is the basis for many technological applications.
Electrochemical Processes
Electrochemical processes drive the transformation of chemical energy into electrical energy, or vice versa. Electrolysis is a type of electrochemical process where electrical energy causes a non-spontaneous reaction to occur.
This happens when an external source of electricity is applied, prompting ions to move and facilitate chemical transformations at either electrode.

The components of this system include:
  • An external electrical source, supplying energy for the reaction.
  • Electrodes: the anode where oxidation occurs and the cathode where reduction takes place.
  • An electrolyte, which in this case is potassium bromide either in molten or aqueous state, that allows ion movement.
Understanding electrochemical processes is pivotal in various industries such as metal plating, battery operation, and even large-scale applications like metal extraction. Electrolysis serves as a cornerstone for many advancements in these fields, signifying its importance in both practical and theoretical chemistry.

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Most popular questions from this chapter

The metallurgy of aluminum involves electrolysis of \(\mathrm{Al}_{2} \mathrm{O}_{3}\) dissolved in molten cryolite \(\left(\mathrm{Na}_{3} \mathrm{AlF}_{6}\right)\) at about \(950^{\circ} \mathrm{C}\). Aluminum metal is produced at the cathode. Predict the anode product and write equations for the reactions occurring at both electrodes.

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