Question

The standard reduction potential of $A{g^ + }|Ag$ electrode is $0.80volt$. Calculate the standard electrode potential of $C{l^ - }|AgCl|Ag$ at ${25^ \circ }C$.
Given solubility product, $Ksp\left( {AgCl} \right) = 1.8 \times {10^{ - 10}}$

Answer 1

Hint: We know the Hermann Nernst condition is ordinarily acclimated with compute the cell capability of a substance science cell at some random temperature, weight, and concentration.
${E_{cell}} = E_0-{\dfrac{RT}{nF}} lnQ$
Where,
\[{E_{cell}}\] = cell potential of the cell
The cell potential below customary conditions is \[{E_0}\]
R is the universal gas constant
T is temperature
n is amount of electrons transferred within the chemical reaction
Q is the reaction quotient.

Complete step by step answer:
We know that,
\[{E_{cell}} = {\text{ 0}}{\text{.0591}}\, \times {\text{log}}{{\text{K}}_{sp}}\left( {AgCl} \right)\]
Given solubility product, $Ksp\left( {AgCl} \right) = 1.8 \times {10^{ - 10}}$
\[{E_{cell}} = - 0.576volt\]
The electrode potential of the cell is equal to the difference between the oxidation and reduction potential. It is given as follows,
\[{E_{cell}} = {\text{ }}{{\text{E}}_{oxidation}} - {E_{reduction}}\]
It is given that the oxidation potential of cathode is $0.80volt$
\[{E_{reduction}} = {\text{ }}{E_{cell}} - {{\text{E}}_{oxidation}}\]
\[{E_{reduction}} = {\text{ }}\left( { - 0.576} \right) - \left( { - 0.80} \right) = 0.244volt\]

The electrode potential of $C{l^ - }|AgCl|Ag$ is $0.244volt$.

Additional Note:
Now we discuss about the uses of Nernst equation as,
The Nernst condition might be used to compute Single conductor decrease or substance response potential at any conditions.
Standard cathode possibilities looking at the general capacity as a subtractive or high-impact specialist. Finding the practicableness of the combination of such single cathodes to give electrical potential. Emf of a science cell Unknown ionic focuses.
The \[pH\] scale and solubility of scantily soluble salts can be calculated with the aid of the Nernst equation.


Note: We can see the limitations of Nernst Equation as,
The movement of a particle in an exceedingly exceptionally weakened arrangement is on the purpose of endlessness and can, in this way, be communicated as far as the particle focus. Be that as it may, for arrangements having extremely high focuses, the particle fixation isn't up to the molecule action. In order to utilize the Nernst condition in such cases, exploratory livements should be directed to get reality action of the particle. Another imperfection of this condition is that it can't be an acclimated measure cell possible once there's a current moving through the terminal. This can be because the progression of current influences the action of the particles on the outside of the terminal. Additionally, further factors worship resistive misfortune and over possible must be ideal when there is a current coursing through the terminal.