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Describe the electrolysis of an aqueous solution of \(\mathrm{KNO}_{3}\)

Short Answer

Expert verified
In the electrolysis of an aqueous solution of \(\mathrm{KNO}_{3}\), at the anode, \(OH^{-}\) ions are oxidized to form oxygen and water with the release of electrons. At the cathode, \(H^{+}\) ions are reduced by gaining electrons to form hydrogen gas.

Step by step solution

01

Understanding Electrolysis

Electrolysis is the process in which an electric current is passed through an electrolyte to bring about chemical changes. In this context, aqueous Potassium Nitrate (\(\mathrm{KNO}_{3}\)) is the electrolyte.
02

Determining the Ions Present

In an aqueous solution, \(\mathrm{KNO}_{3}\) will dissociate into its ions: \(K^{+}\), \(NO_{3}^{-}\), \(H^{+}\) and \(OH^{-}\). The \(H^{+}\) and \(OH^{-}\) ions come from the self-dissociation of water.
03

Determining the Anode Reaction (Oxidation)

The anode is the site of oxidation. Here, the \(OH^{-}\) ion will be oxidized, because it has the lowest oxidation potential among the ions present. It will lose electrons to form oxygen and water while also releasing electrons. The reaction can be written as: \[4OH^{-}\rightarrow2H_{2}O+O_{2}+4e^{-}\]
04

Determining the Cathode Reaction (Reduction)

The cathode is where reduction takes place. In this case, the \(H^{+}\) ion will typically be reduced, because it has the highest reduction potential among the current ions. Therefore, it will gain electrons to form hydrogen gas. The reaction can be written as: \[2H^{+} + 2e^{-}\rightarrow H_{2}\]

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Key Concepts

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

Aqueous Solution
An aqueous solution is simply a solution where water acts as the solvent. In the context of electrolysis, it is important to understand that when a substance like Potassium Nitrate ( \(\mathrm{KNO}_{3}\) ) is dissolved in water, it dissociates into its constituent ions. The water molecules surround and separate the ions, allowing them to move freely in the solution.

In the case of an aqueous solution of \(\mathrm{KNO}_{3}\), this dissociation results in the formation of potassium ions (\(K^{+}\)) and nitrate ions (\(NO_{3}^{-}\)), while water itself can also dissociate to produce hydrogen ions (\(H^{+}\)) and hydroxide ions (\(OH^{-}\)). This is a crucial initial step for the process of electrolysis because these ions will participate in subsequent reactions at the electrodes.

The ease of movement of these ions within the solution is what makes it possible to carry out the electrolysis process efficiently.
Anode Reaction
The anode is the electrode where oxidation occurs during electrolysis. For an aqueous solution of \(\mathrm{KNO}_{3}\), the anode reaction involves the oxidation of the \(OH^{-}\) ion.

Because the \(OH^{-}\) ion has a relatively low oxidation potential compared to other ions present, it is oxidized at the anode.
  • Oxidation involves the loss of electrons by this ion.
  • The reaction produces oxygen gas and water, and releases electrons into the circuit.
  • This can be represented by the equation: \[4OH^{-}\rightarrow2H_{2}O+O_{2}+4e^{-}\]
Oxidation at the anode is an important step because it helps to balance the overall electrochemical reaction that takes place during electrolysis.
Cathode Reaction
The cathode is the site of reduction during electrolysis. At the cathode, ions gain electrons—a process called reduction. In the electrolysis of an aqueous \(\mathrm{KNO}_{3}\) solution, the \(H^{+}\) ions are typically reduced.

This is because the \(H^{+}\) ion generally has a high reduction potential in comparison to the other ions present, as it requires less energy to gain electrons and form hydrogen gas.
  • The reaction proceeds as: \[2H^{+} + 2e^{-} \rightarrow H_{2}\]
  • Here, hydrogen gas is liberated at the cathode as a result of the \(H^{+}\) ions accepting electrons.
By understanding the cathode reaction, we see how reduction complements the oxidation process at the anode, allowing the circuit to be complete and the flow of electrons to occur.
Ions Dissociation
Ions dissociation in aqueous solutions is a critical concept when studying electrolysis. When substances like Potassium Nitrate ( \(\mathrm{KNO}_{3}\) ) dissolve in water, they break apart into their individual ions due to the polar nature of water molecules.

This means that \(\mathrm{KNO}_{3}\) splits into potassium ions ( \(K^{+}\) ) and nitrate ions ( \(NO_{3}^{-}\) ), while water itself dissociates to form hydrogen ions ( \(H^{+}\) ) and hydroxide ions ( \(OH^{-}\) ).Key points about ion dissociation include:
  • It enables ions to move freely in the solution, which is essential for electrolytic reactions.
  • Each ion has a potential to engage in chemical reactions either at the anode or the cathode.
Understanding how ions dissociate in solution helps us predict and understand the reactions that occur during electrolysis.
Oxidation and Reduction Processes
The essence of electrolysis involves oxidation and reduction processes taking place at the anode and cathode, respectively. These two processes are the core of redox reactions which are pivotal in the transformation of chemical species during electrolysis.Oxidation
  • Occurs at the anode, where electrons are released by ions.
  • In our example, \(OH^{-}\) ions lose electrons to form oxygen and water.
Reduction
  • Occurs at the cathode, where ions gain electrons.
  • Here, \(H^{+}\) ions gain electrons to become hydrogen gas.
These processes are interconnected. Electrons lost through oxidation are transferred via the external circuit and are needed to drive the reduction reaction at the cathode. Recognizing how oxidation and reduction are interdependent is crucial for understanding the continuous nature of electrochemical reactions in electrolytic cells.

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Most popular questions from this chapter

Fluorine \(\left(\mathrm{F}_{2}\right)\) is obtained by the electrolysis of liquid hydrogen fluoride (HF) containing potassium fluoride (KF). (a) Write the half-cell reactions and the overall reaction for the process. (b) What is the purpose of KF? (c) Calculate the volume of \(\mathrm{F}_{2}\) (in liters) collected at \(24.0^{\circ} \mathrm{C}\) and 1.2 atm after electrolyzing the solution for \(15 \mathrm{~h}\) at a current of 502 A.

Calculate the standard emf of a cell that uses the \(\mathrm{Mg} / \mathrm{Mg}^{2+}\) and \(\mathrm{Cu} / \mathrm{Cu}^{2+}\) half-cell reactions at \(25^{\circ} \mathrm{C}\) Write the equation for the cell reaction that occurs under standard-state conditions.

An aqueous KI solution to which a few drops of phenolphthalein have been added is electrolyzed using an apparatus like the one shown here: Describe what you would observe at the anode and the cathode. (Hint: Molecular iodine is only slightly soluble in water, but in the presence of \(\mathrm{I}^{-}\) ions, it forms the brown color of \(\mathrm{I}_{3}^{-}\) ions. See Problem \(12.102 .\)

Describe an experiment that would enable you to determine which is the cathode and which is the anode in a galvanic cell using copper and zinc electrodes.

Calculate the standard potential of the cell consisting of the \(\mathrm{Zn} / \mathrm{Zn}^{2+}\) half-cell and the \(\mathrm{SHE}\). What will the emf of the cell be if \(\left[\mathrm{Zn}^{2+}\right]=0.45 \mathrm{M}, \mathrm{P}_{\mathrm{H}_{2}}=\) \(2.0 \mathrm{~atm},\) and \(\left[\mathrm{H}^{+}\right]=1.8 \mathrm{M} ?\)

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