Derive the Nernst equation for the following galvanic cell: $Ni_{(s)}|Ni_{(aq)}^{2+}\parallel Ag_{(aq)}^{+}|Ag_{(s)}$

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The cell reaction is as follows:
Anode (Oxidation): $Ni_{(s)} \rightarrow Ni_{(aq)}^{2+} + 2e^{-}$
Cathode (Reduction): $2Ag_{(aq)}^{+} + 2e^{-} \rightarrow 2Ag_{(s)}$
Overall Redox reaction: $Ni_{(s)} + 2Ag_{(aq)}^{+} \rightarrow Ni_{(aq)}^{2+} + 2Ag_{(s)}$
Here,$n = 2$ (number of electrons transferred).
The Nernst equation is given by: $E_{cell} = E_{cell}^{\theta} - \frac{RT}{nF} \ln Q$
Substituting the values: $E_{cell} = E_{cell}^{\theta} - \frac{RT}{2F} \ln \frac{[Ni_{(aq)}^{2+}]}{[Ag_{(aq)}^{+}]^{2}}$
At $298 \ K$,converting to $\log_{10}$: $E_{cell} = E_{cell}^{\theta} - \frac{0.0591}{2} \log_{10} \frac{[Ni_{(aq)}^{2+}]}{[Ag_{(aq)}^{+}]^{2}}$

Explore More

Similar Questions

Given $E^o _{Cr^{3+} / Cr} = -0.72 \, V$ and $E^o _{Fe^{2+} / Fe} = -0.42 \, V$. The potential for the cell $Cr \, | \, Cr^{3+}_{(0.1 \, M)} \, || \, Fe^{2+}_{(0.01 \, M)} \, | \, Fe$ is ......... $V$.

$E_{1}$,$E_{2}$ and $E_{3}$ are the emfs of the following three galvanic cells respectively.

Identify the correct statement$(s)$:

For $Cr_2O_7^{2-} + 14H^{+} + 6e^- \longrightarrow 2Cr^{3+} + 7H_2O$,$E^0 = 1.33 \ V$. Given $[Cr_2O_7^{2-}] = 4.5 \ mmol$,$[Cr^{3+}] = 1.5 \ mmol$ and $E = 1.067 \ V$,calculate the $pH$ of the solution.

If the concentration of a $Zn^{2+}$ solution is diluted $10$ times,what is the change in the potential of the $Zn/Zn^{2+}$ electrode?

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo