Illustration of ion movement in an electrolytic cell with labeled electrodes and electron flow.

Problem Description:

The image depicts an electrolytic cell where an electric current is passed through an ion-containing solution (electrolyte) to cause chemical reactions at the electrodes. The task is to analyze the process and explain how it works.

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Solution Explanation:

#### 1. Understanding the Components:
- Power Source: Provides the necessary electric current to drive the electrolysis process.
- Electrodes:
- Positive Electrode (Anode): Connected to the positive terminal of the power source. Oxidation occurs here.
- Negative Electrode (Cathode): Connected to the negative terminal of the power source. Reduction occurs here.
- Ion-Containing Solution (Electrolyte): A solution that contains ions capable of conducting electricity. These ions move towards the oppositely charged electrodes.

#### 2. Movement of Ions:
- Positive Ions (Cations): Move towards the negative electrode (cathode) because opposite charges attract. This is indicated in the image by red circles (+) moving towards the cathode.
- Negative Ions (Anions): Move towards the positive electrode (anode) because opposite charges attract. This is indicated in the image by blue circles (-) moving towards the anode.

#### 3. Chemical Reactions at the Electrodes:
- At the Anode (Positive Electrode):
- Oxidation occurs, where electrons are removed from the ions or atoms at the anode.
- For example, if the electrolyte is a solution of sodium chloride (NaCl), the chloride ions (Cl⁻) will be oxidized at the anode:
\[
2\text{Cl}^- \rightarrow \text{Cl}_2 + 2e^-
\]
Here, chlorine gas (\(\text{Cl}_2\)) is produced.
- At the Cathode (Negative Electrode):
- Reduction occurs, where electrons are added to the ions or atoms at the cathode.
- Continuing the NaCl example, the sodium ions (Na⁺) will be reduced at the cathode:
\[
2\text{Na}^+ + 2e^- \rightarrow 2\text{Na}
\]
Here, metallic sodium is produced.

#### 4. Role of the Power Source:
- The power source supplies the necessary voltage to overcome the energy barrier for the chemical reactions to occur. It ensures that electrons flow from the cathode to the anode, driving the movement of ions in the electrolyte.

#### 5. Overall Process:
- The electrolysis process separates the components of the electrolyte into their respective elements or compounds.
- The direction of ion movement is governed by Coulomb's law: opposite charges attract. Positive ions move towards the negative electrode, and negative ions move towards the positive electrode.

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Final Answer:

The electrolytic cell shown in the image demonstrates the process of electrolysis, where:
- Positive ions (cations) move towards the cathode (negative electrode).
- Negative ions (anions) move towards the anode (positive electrode).
- Chemical reactions occur at the electrodes due to the transfer of electrons, leading to the separation of the electrolyte into its constituent elements or compounds.

\[
\boxed{\text{Positive ions move towards the cathode, and negative ions move towards the anode.}}
\]