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The metallurgy of aluminum involves electrolysis of \(\mathrm{Al}_{2} \mathrm{O}_{3}\) dissolved in molten cryolyte \(\left(\mathrm{Na}_{3} \mathrm{AlF}_{6}\right)\) 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.

Short Answer

Expert verified
The anode product is oxygen gas, with reactions: cathode \( \mathrm{Al}^{3+} + 3e^- \rightarrow \mathrm{Al} \), anode \( 2\mathrm{O}^{2-} \rightarrow \mathrm{O}_{2} + 4e^- \).

Step by step solution

01

Understand the setup of the electrolysis

In the electrolysis of \( \mathrm{Al}_{2}\mathrm{O}_{3} \) dissolved in molten cryolite, aluminum is produced at the cathode. The system is typically at a high temperature of about \( 950^{\circ} \mathrm{C} \).
02

Identify the reaction at the cathode

At the cathode, reduction occurs. Aluminum ions \((\mathrm{Al}^{3+})\) gain electrons to form aluminum metal. The cathodic reaction is: \[ \mathrm{Al}^{3+} + 3e^- \rightarrow \mathrm{Al} \]
03

Predict the anode product

At the anode, oxidation needs to occur. The likely species to be oxidized is the oxide ion \((\mathrm{O}^{2-})\). This leads to the formation of oxygen gas. The anodic reaction is: \[ 2\mathrm{O}^{2-} \rightarrow \mathrm{O}_{2} + 4e^- \]
04

Write the overall cell reaction

Combine the reactions occurring at the anode and cathode to get the overall electrolysis reaction: \[ 2\mathrm{Al}^{3+} + 6\mathrm{O}^{2-} \rightarrow 4\mathrm{Al} + 3\mathrm{O}_{2} \]
05

Verify charge balance in the reactions

Ensure that the total charge on both sides of each electrode reaction and the overall reaction is balanced. At the cathode, the loss of 3 electrons per aluminum is balanced by the gain from \( \mathrm{Al}^{3+} \). At the anode, 4 electrons are released per 2 oxide ions, which is consistent with the transfer of electrons.

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Key Concepts

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

Cathodic Reaction
During the process of aluminum electrolysis, a crucial activity takes place at the cathode. The cathode is one of two electrodes used in this procedure. It carries a negative charge. Here, an important electrochemical reaction known as reduction occurs.

Aluminum ions, represented by the symbol \( \mathrm{Al}^{3+} \), migrate towards the cathode. They gain electrons to become aluminum metal, a key aspect of producing pure aluminum. This transformation of ions into metal is the hallmark of cathodic reactions.

In equation form, the cathodic reaction is expressed as:
  • \( \mathrm{Al}^{3+} + 3e^- \rightarrow \mathrm{Al} \)
It's essential to understand this reaction to interpret the efficiency of the aluminum production process.
Anode Product
Opposite the cathode, the anode plays an equally essential role in the aluminum electrolysis process. The anode is positively charged. Here, oxidation happens, a reaction where a species loses electrons.

In the context of aluminum production, oxide ions \( (\mathrm{O}^{2-}) \) are targeted for oxidation. These ions lose electrons and transform into oxygen gas, which is the primary anode product in this setup.

The anodic reaction can be represented as follows:
  • \( 2\mathrm{O}^{2-} \rightarrow \mathrm{O}_{2} + 4e^- \)
This result is critical for achieving the necessary balance in the overall electrolysis process.
Oxidation and Reduction
Electrolysis involves the key concepts of oxidation and reduction. Oxidation refers to the loss of electrons, while reduction is the gain of electrons. These reactions happen simultaneously during electrolysis.

In aluminum electrolysis, reduction takes place at the cathode, where \( \mathrm{Al}^{3+} \) ions gain electrons to form aluminum metal. On the other hand, the anode facilitates oxidation, as \( \mathrm{O}^{2-} \) ions lose electrons to form oxygen gas.

The simultaneous occurrence of these reactions ensures that the electrons gained and lost are equal, providing equilibrium. This balance is what allows us to produce aluminum efficiently.
Electrolysis Process
Electrolysis is the process of using electricity to bring about a chemical change, often decomposition. In aluminum production, electrolysis involves the breakdown of \( \mathrm{Al}_{2}\mathrm{O}_{3} \) dissolved in molten cryolyte \( (\mathrm{Na}_{3}\mathrm{AlF}_{6}) \).

This setup works at about \( 950^{\circ} \mathrm{C} \), which enables ions to move freely and facilitates the reactions at both electrodes. By providing electrical energy, we can drive the non-spontaneous reactions necessary for aluminum and oxygen formation.

This process not only generates valuable aluminum metal but also releases oxygen gas from the reaction at the anode.
Charge Balance in Reactions
A fundamental principle in electrolysis is ensuring charge balance in reactions. This means the total charge must be the same on both sides of every reaction involved, including those at the cathode and anode.

For the cathodic reaction, \( \mathrm{Al}^{3+} + 3e^- \rightarrow \mathrm{Al} \), the three extra electrons balance the charge of the \( \mathrm{Al}^{3+} \) ion.

At the anode, \( 2\mathrm{O}^{2-} \rightarrow \mathrm{O}_{2} + 4e^- \), four electrons released match the charge from two oxide ions. Combined, these reactions also fulfill the charge requirement in the overall cell reaction.
  • Overall reaction: \( 2\mathrm{Al}^{3+} + 6\mathrm{O}^{2-} \rightarrow 4\mathrm{Al} + 3\mathrm{O}_{2} \)
Achieving charge balance is critical for maintaining proper function of the electrolysis process.

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Most popular questions from this chapter

A voltaic cell can be built using the reaction between Al metal and \(\mathrm{O}_{2}\) from the air. If the Al anode of this cell consists of \(84 \mathrm{g}\) of aluminum, how many hours can the cell produce 1.0 A of electricity, assuming an unlimited supply of \(\mathrm{O}_{2} ?\)

An old method of measuring the current flowing in a circuit was to use a "silver coulometer." The current passed first through a solution of \(\mathrm{Ag}^{+}(\mathrm{aq})\) and then into another solution containing an electroactive species. The amount of silver metal deposited at the cathode was weighed. From the mass of silver, the number of atoms of silver was calculated. since the reduction of a silver ion requires one electron, this value equaled the number of electrons passing through the circuit. If the time was noted, the average current could be calculated. If, in such an experiment, \(0.052 \mathrm{g}\) of \(\mathrm{Ag}\) is deposited during \(450 \mathrm{s},\) what was the current flowing in the circuit?

Two \(\mathrm{Ag}^{+}\) (aq) \(|\) Ag half-cells are constructed. The first has \(\left[\mathrm{Ag}^{+}\right]=1.0 \mathrm{M},\) the second has \(\left[\mathrm{Ag}^{+}\right]=1.0 \times 10^{-5} \mathrm{M}\) When linked together with a salt bridge and external circuit, a cell potential is observed. (This kind of voltaic cell is referred to as a concentration cell.) (a) Draw a picture of this cell, labeling all components. Indicate the cathode and the anode, and indicate in which direction electrons flow in the external circuit. (b) Calculate the cell potential at \(298 \mathrm{K}\)

A hydrogen-oxygen fuel cell operates on the simple reaction $$ \mathrm{H}_{2}(\mathrm{g})+\frac{1}{2} \mathrm{O}_{2}(\mathrm{g}) \rightarrow \mathrm{H}_{2} \mathrm{O}(\ell) $$ If the cell is designed to produce 1.5 A of current and if the hydrogen is contained in a \(1.0-\mathrm{L}\) tank at 200 atm pressure at \(25^{\circ} \mathrm{C},\) how long can the fuel cell operate before the hydrogen runs out? (Assume there is an unlimited supply of \(\mathbf{O}_{2 \cdot}\) )

A An electrolysis cell for aluminum production operates at \(5.0 \mathrm{V}\) and a current of \(1.0 \times 10^{5} \mathrm{A}\). Calculate the number of kilowatt-hours of energy required to produce 1 metric ton \(\left(1.0 \times 10^{3} \mathrm{kg}\right)\) of aluminum. \(\left(1 \mathrm{kWh}=3.6 \times 10^{6} \mathrm{J} \text { and } 1 \mathrm{J}=1 \mathrm{C} \cdot \mathrm{V}\right)\)

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