Electrolysis is a process that involves the decomposition of a compound through the use of an electric current. It is commonly used to extract metals from their compounds. In this case, we are looking for an element that is commercially extracted by the electrolysis of an aqueous solution of its compound.

The correct answer is option C, chlorine (Cl).

Explanation:

Electrolysis of an Aqueous Solution:
When an aqueous solution is electrolyzed, the compound in the solution is broken down into its constituent elements. The positive ions (cations) migrate towards the negative electrode (cathode), where reduction occurs, while the negative ions (anions) migrate towards the positive electrode (anode), where oxidation occurs.

Chlorine Extraction:
Chlorine is commercially extracted by the electrolysis of an aqueous solution of its compound, typically sodium chloride (NaCl), which is commonly known as table salt. During the electrolysis of sodium chloride solution, chlorine gas is released at the anode, while hydrogen gas is released at the cathode.

At the anode:
At the anode, chloride ions (Cl-) are oxidized to chlorine gas (Cl2). The half-reaction at the anode is:

2Cl- -> Cl2 + 2e-

At the cathode:
At the cathode, water molecules are reduced to hydrogen gas (H2) and hydroxide ions (OH-). The half-reaction at the cathode is:

2H2O + 2e- -> H2 + 2OH-

Overall Reaction:
The overall reaction during the electrolysis of sodium chloride solution can be represented as:

2NaCl(aq) + 2H2O(l) -> Cl2(g) + H2(g) + 2NaOH(aq)

Importance of Chlorine:
Chlorine is an important element in various industries. It is used for the production of PVC (polyvinyl chloride), which is widely used in the manufacturing of pipes, cables, and other plastic products. Chlorine is also used in the production of bleach, disinfectants, and various organic compounds.

Conclusion:
In conclusion, chlorine is commercially extracted by the electrolysis of an aqueous solution of its compound, such as sodium chloride. The process involves the oxidation of chloride ions at the anode, resulting in the release of chlorine gas, while hydrogen gas is released at the cathode. Chlorine is an important element used in different industries for various purposes.

Correct answer is sodium bro