Question Details

According to Faraday’s laws of electrolysis, to which of the following is the amount of decomposition proportional to?

Options

A

The electrochemical equivalent of the substance

B

1/current

C

1/electrochemical equivalent

D

1/time for which current passes

Correct Answer :

The electrochemical equivalent of the substance

Solution :

The correct option is The electrochemical equivalent of the substance.

Faraday's First Law of Electrolysis:
According to Faraday's first law of electrolysis, the mass of a substance deposited, liberated, or decomposed at any electrode during electrolysis is directly proportional to the quantity of electricity passed through the electrolyte.

If m is the mass of the substance decomposed and Q is the quantity of electricity (in coulombs) passed, then:

m Q

Since the quantity of electricity is the product of current (I) and time (t) for which the current passes, we can write:

Q = I · t

Substituting this in the proportionality relation:

m I · t

To convert this proportionality into an equation, we introduce a constant of proportionality:

m = Z · I · t

Here, Z is the constant of proportionality known as the electrochemical equivalent of the substance.

From this equation, for a given quantity of electricity passed (I·t = constant), the mass of the substance decomposed (m) is directly proportional to its electrochemical equivalent (Z):

m Z

Hence, the amount of decomposition is directly proportional to the electrochemical equivalent of the substance.

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