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In electrolysis the mass deposited on an...

In electrolysis the mass deposited on an electrode is directly proportional to:

A

current

B

square of current

C

concentration of solution

D

inverse of current

Text Solution

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The correct Answer is:
To solve the question regarding the relationship between the mass deposited on an electrode during electrolysis and various factors, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Electrolysis**: Electrolysis is a process where electrical energy is used to drive a non-spontaneous chemical reaction. During this process, ions move towards the electrodes, and mass is deposited on the electrodes. 2. **Refer to Faraday's Laws of Electrolysis**: According to Faraday's first law of electrolysis, the mass (m) of a substance deposited at an electrode is directly proportional to the quantity of electric charge (Q) passed through the electrolyte. 3. **Express Charge in Terms of Current and Time**: The charge (Q) can be expressed in terms of current (I) and time (t) using the formula: \[ Q = I \times t \] where: - \( Q \) is the charge in coulombs, - \( I \) is the current in amperes, - \( t \) is the time in seconds. 4. **Relate Mass to Current and Time**: Substituting the expression for charge into the relationship from Faraday's law, we have: \[ m \propto Q \implies m \propto I \times t \] This indicates that the mass deposited is directly proportional to both the current and the time for which the current flows. 5. **Identify the Direct Proportionality**: Since the question asks for what the mass is directly proportional to, we can conclude that: \[ m \propto I \] This means that the mass deposited on the electrode is directly proportional to the current (I). 6. **Conclusion**: Therefore, the correct answer to the question is that the mass deposited on an electrode during electrolysis is directly proportional to the current. ### Final Answer: The mass deposited on an electrode is directly proportional to the **current (I)**.
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