Problem 15 - A Complete Resource Book in Physics for JEE Main

Question

In electrolysis, the amount of mass deposited or liberated at an electrode is directly proportional to (A) amount of charge. (B) square of current. (C) concentration of electrolyte. (D) square of electric charge.

Step-by-Step Solution

Answer

The mass deposited or liberated at an electrode in electrolysis is directly proportional to the amount of charge, according to Faraday's First Law of electrolysis. Thus, the correct answer is (A) Amount of charge.

Step 1: Understand Faraday's laws of electrolysis

Faraday's laws of electrolysis state that: 1. The mass of a substance deposited or liberated at an electrode during electrolysis is directly proportional to the amount of electrical charge passed through the electrolyte (First Law). 2. The mass of a substance deposited or liberated at an electrode during electrolysis is directly proportional to the atomic weight of the substance and inversely proportional to its valency (Second Law). Thus, based on these laws, we can determine the factor that mass deposited or liberated during electrolysis is directly proportional to. Step 2: Identify the factor mass deposited or liberated is directly proportional to

Step 2: Identify the factor mass deposited or liberated is directly proportional to

From Faraday's First Law of electrolysis, we know that the mass of a substance deposited or liberated at an electrode during electrolysis (m) is directly proportional to the amount of electrical charge (Q) passed through the electrolyte. Mathematically, this can be represented as: m ∝ Q Therefore, the correct answer is: (A) Amount of charge.