Question:

Faraday’s First Law of Electrolysis

Faraday's first law of electrolysis states that the mass of a substance deposited or liberated at an electrode during electrolysis is directly proportional to the quantity of electricity (charge) passed through the electrolyte.

Mathematically, it is expressed as: \[ m = ZQ \] where:
  • \( m \) is the mass of the substance deposited (in grams),
  • \( Z \) is the electrochemical equivalent of the substance,
  • \( Q \) is the total charge passed through the electrolyte (in coulombs).
Since charge \( Q \) is related to current \( I \) and time \( t \) by the equation: \[ Q = It \] Faraday's first law can also be written as: \[ m = ZIt \]

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Faraday’s first law quantifies the relationship between the quantity of electricity and the amount of material involved in electrolysis.
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Solution and Explanation

Faraday’s First Law of Electrolysis

Faraday’s first law of electrolysis states that the amount of substance deposited or liberated at each electrode during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.

Mathematically, it is expressed as: \[ m = \frac{M \cdot I \cdot t}{F} \] where:
  • \( m \) is the mass of the substance deposited or liberated,
  • \( M \) is the molar mass of the substance,
  • \( I \) is the current (in amperes),
  • \( t \) is the time (in seconds),
  • \( F \) is Faraday’s constant (\( 96500 \) C mol\(^{-1}\)).
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