Question

a.) State Faraday's first law of electrolysis. How much charge in terms of faraday is required for the reduction of one mole of \[C{{u}^{2+}}\]to \[Cu\]?
b.) Calculate emf of the following cell at 298K:
\[Mg(s)\left| M{{g}^{2+\,}} \right.(0.1M)\left\| C{{u}^{2+}} \right.(0.01M)\left| Cu(s) \right.\,\,\,\,\]
\[[E_{cell}^{0}\,=\,+2.17V,\,1F\,=\,96500\,C\,mo{{l}^{-1}}]\]

Answer 1

Hint: Michael Faraday directed a broad examination on electrolysis of arrangements and melts of electrolytes. He was the primary researcher who portrayed the quantitative parts of the Laws of Electrolysis. Faraday's first law says the mass of the substance generated by electrolysis is proportional to the amount of electricity used.

Complete answer:
a.) He proposed two laws to clarify the quantitative parts of electrolysis famously known as Faraday's laws of electrolysis to be specific first law of electrolysis and the second law of electrolysis. Straightforwardly relative to nature of power or charge (Q) which went through electrolyte. Unit of charge is coulomb (C). It is the result of current in amperes and time in a flash.
\[C{{u}^{2+}}+2{{e}^{-}}\to Cu\]
In this reaction there is the involvement of the 2 moles of electrons. Hence the total amount of the charge is 2F.
Second law of faraday has told about the Masses of various substances freed by same nature of power during electrolysis are corresponding to the electrochemical reciprocals (E.C.E) of the substances.
b.) EMF: The vitality per unit charge that is changed over reversibly from synthetic, mechanical, or different types of vitality into electrical vitality in a battery or dynamo.
\[\begin{align}
  & Mg(s)+C{{u}^{2+}}(aq.)\to M{{g}^{2+}}(aq.)+Cu(s) \\
 & Given, \\
 & E_{cell}^{0}=+2.71V \\
 & T=298K \\
 & According\,to\,the\,Nernst\,equation: \\
 & E=E_{cell}^{0}-\,\dfrac{0.0591}{2}\log \,\dfrac{[M{{g}^{2+}}]}{[C{{u}^{2+}}]}-2.71\,-\dfrac{0.0591}{2}\log \dfrac{0.1}{0.01} \\
 & 2.71-0.0295\,\,\log 10=2.71-0.0295 \\
 & =2.6805V \\
\end{align}\]
At the point when no current is drawn from a cell for example at the point when the phone is in open circuit the expected contrast between the terminals of the phone is called its emf.

Note: Electrolysis is the process by which the electric flow goes through a substance to impact a compound change. The procedure is done in an electrolytic cell, a device consisting of positive and negative terminals held separated and dunked into an answer containing emphatically and adversely charged particles.