Question

Assertion: Electrode potential for the electrode \[M{{n}^{+}}\mid Mn\]with concentration is given by the expression under STP conditions;
\[\text{E}={{\text{E}}^{-}}+\dfrac{0.0\text{59}}{\text{n}}\text{log}\left[ \text{M}{{\text{n}}^{+}} \right].\]
Reason: STP conditions require the temperature to be 273 K.
a.) Both Assertion and Reason are true and Reason is the correct explanation of Assertion B
b.) Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
c.) Assertion is true but Reason is false
d.) Assertion is false but Reason is true
e.) Both Assertion and Reason are false

Answer 1

Hint: To answer the correct option, we should know about electrode potential. We should know about the conditions that are used to measure the electrode potential.


Complete step by step solution:

So, we should first describe the electrode potential. We should know that electrode potential is a measurement of the potential for equilibrium. There is a potential difference between the electrode and the electrolyte called the potential of the electrode. We know that current is produced when electrons flow externally through the circuit from the anode to the cathode because of a difference in potential energy between the two electrodes in the electrochemical cell.
Let us take an example to correctly define electrode potential. When we place plate of zinc in a solution having \[\text{Z}{{\text{n}}^{\text{2}+}}\]ions, it becomes negatively charged with respect to solution and thus a potential difference is set up between zinc plate and the solution. This potential difference is termed the electrode potential of zinc.
Similarly, we can say that when we pace copper in a solution having \[\text{C}{{\text{u}}^{\text{2}+}}\]ions, it becomes positively charged with respect to solution. A potential difference is set up between the copper plate and the solution. The potential difference thus developed is termed as electrode potential of copper.
Let us now know about formulas and conditions to measure electrode potential.
\[\text{E}={{\text{E}}^{-}}+\dfrac{0.0\text{59}}{\text{n}}\text{log}\left[ \text{M}{{\text{n}}^{+}} \right].\]\[~\]
We use the above equation for measurements carried out 298K. The above equation is Nernst equation. The assertion is incorrect because this Nernst equation is measured at 298 K.
Reason is stating that STP conditions require the temperature to be 273 K. This is true.

So, from this we can say that assertion is incorrect and reason is correct. So, we can say that option C is correct.


Note: We use Nernst equation to calculate single electrode reduction or oxidation potential at any conditions. We also use it to compare the relative ability as a reductive or oxidative agent. This equation tells us to find the feasibility of the combination of such single electrodes to produce electric potential.