Correct Answer - Option 1 : 21.1 A
Concept:
Faraday’s Laws of Electrolysis:
Faraday deduced two fundamental laws which govern the phenomenon of electrolysis. These are :
First Law: The mass of ions liberated at an electrode is directly proportional to the quantity of electricity i.e. charge which passes through the electrolyte.
Second Law: The masses of ions of different substances liberated by the same quantity of electricity are proportional to their chemical equivalent weights.
Explanation of the Faradays Law:
If m = mass of the ions liberated,
Q = quantity of electricity = I × t
Where I is the current and t is the time
According to the first law:
m ∝ Q
or m = Z Q
or m = Z It
Where Z is a constant and is known as the electrochemical equivalent (E.C.E.) of the substance and it is given by,
\(Z=\frac{a}{Fv}\)
Where,
F is Faraday's constant and is defined as the charge required to liberate one gram-equivalent of any substance.
The value of F for all substance is given by,
\(F=\frac{E.C.E}{Z}=96500 \ C\)
a is the atomic weight
v is the valency
Calculation:
Given,
m = 0.05 kg = 50 g
t = 2 hours = 7200 s
a = 63.5 amu
valency of copper (v) = 2
From the above concept,
\(Z=\frac{a}{Fv}=\frac{63.5}{96500\times 2}=3.29\times 10^{-4}\)
We know that,
m = Z It
\(I=\frac{m}{Zt}=\frac{50}{3.29\times 10^{-4}\times 7200}=21.10\ A\)
