Question

According to the Faraday Law of electrolysis, the mass deposited at electrode proportional to:

• A. \(m∝I^2\)
• B. \(m∝Q\)
• C. \(m∝Q^2\)
• D. \(m \ does\  not\  depend \ on \ Q\)

Answer 1

The Correct Option is B

Faraday's Law of Electrolysis is a fundamental principle in the study of electrochemistry. The law states that the mass of a substance deposited at an electrode during electrolysis is directly proportional to the total charge passed through the electrolyte. This relationship can be expressed mathematically as:

m ∝ Q

where:

• m is the mass of the substance deposited at the electrode.
• Q is the total electric charge passed through the system.

This can further be expanded using Faraday's first law of electrolysis:

m = \frac{Q}{F} \cdot \frac{1}{z} \cdot M

• F is the Faraday constant, approximately equal to 96485 coulombs per mole.
• z is the valency number of the ions.
• M is the molar mass of the substance.

Let's analyze the options provided:

• m ∝ I^2: This suggests that the mass is proportional to the square of the current, which is incorrect as per Faraday's law.
• m ∝ Q: This is the correct statement as per Faraday's Law.
• m ∝ Q^2: This suggests the mass is proportional to the square of the charge, which is incorrect.
• m \text{ does not depend on } Q: This is incorrect because mass is directly dependent on the charge, as clarified by Faraday's Law.

Conclusion: According to Faraday's Law, the correct answer is that the mass deposited at the electrode is directly proportional to the charge, m ∝ Q.