Question

A 5 ampere current is passed through a solution of zinc sulphate for 40 minutes. The amount of zinc deposited at the cathode is
(a) 0.4065 g
(b) 65.04 g
(c) 40.65 g
(d) 4.065 g

Answer 1

An electrolytic cell is an electrochemical cell that allows a chemical reaction through the induction of electrical energy. Electrolysis is the process of carrying out non-spontaneous reactions under the influence of electric energy. Michael Faraday did considerable research on electrolysis of electrolyte solutions and melts.

Complete answer:
It's one of the fundamental principles of electrolysis. It says that the amount of chemical reaction that takes place at any electrode under the influence of electrical energy is proportionate to the amount of electricity that passes through the electrolyte during electrolysis.
When the same amount of power is passed through the electrolytic solution during electrolysis, a number of distinct compounds are released in proportion to their chemical equivalent weights (Equivalent weight is defined as the ratio of the atomic mass of metal and the number of electrons required for reducing the cation).
From the question
Current, I = 5 A
Time = 40 mins = 40 x 60=2400 s
Amount of electricity passed ${\text{Q}} = {\text{It}}$
Substituting the values
$Q = 5 \times 2400$
$Q = 12000C$
$Z{n^{2 + }} + 2{e^ - } \to Zn$
$n = 2{e^ - }$
From Faraday first law $W = Zit$
Z Is the equivalent mass [65.39 = mass of zinc ]
$= \dfrac{{{\text{ Mass }}}}{{{e^ - } \times F}}$
$= \dfrac{{65.39}}{{2 \times 96500}}g$of Zinc
= 4.065 g of Zinc
therefore, 12000 C charge will deposit $= \dfrac{{65.39 \times 12000}}{{2 \times 96500}} = 4.065g$ of Zinc
The nature of the substance being electrolyzed and the type of electrodes employed determine the outcome of an electrolytic reaction. An inert electrode, such as platinum or gold, does not participate in the chemical process and just serves as a source or sink for electrons. A reactive electrode, on the other hand, is a participant in the reaction.

Hence option d is correct.

Note:
According to Faraday's law, a changing magnetic flux generates an electric field. Faraday's law is particularly essential since it deals with the E-field-B-field link and recognises that this connection demands flux variation over time. Electrolysis is a method of eliminating iron oxide that involves delivering a tiny electrical charge from a battery or battery charger through rusted metal to promote ion exchange while the device is immersed in an electrolyte solution.