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

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(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 $\log_{10}$: $E_{cell} = E_{cell}^{\theta} - \frac{0.0591}{2} \log_{10} \frac{[Ni_{(aq)}^{2+}]}{[Ag_{(aq)}^{+}]^{2}}$

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Similar Questions

For the cell,$Mn_{(s)} | Mn^{2+}_{(aq)} (0.4 \, M) || Sn^{2+}_{(aq)} (0.04 \, M) | Sn_{(s)}$,calculate the free energy change $(\Delta G)$ at $298 \, K$ in $kJ$. Given: $E^o_{Mn^{2+}/Mn} = -1.18 \, V$; $E^o_{Sn^{2+}/Sn} = -0.14 \, V$; $\frac{2.303RT}{F} = 0.06$.

The Nernst equation is related to:

The electrode potential of the following half cell at $298 \ K$ is given by the cell reaction:
$X | X^{2+}(0.001 \ M) || Y^{2+}(0.01 \ M) | Y$
The cell potential is $....... \times 10^{-2} \ V$ (Nearest integer).
Given: $E^0_{X^{2+} | X} = -2.36 \ V$,$E^0_{Y^{2+} | Y} = +0.36 \ V$,$\frac{2.303 \ RT}{F} = 0.06 \ V$.

Identify the correct statement$(s)$:

The standard electrode potential of $Cu^{2+}/Cu$ is $0.34 \text{ V}$ at $298 \text{ K}$. Calculate its electrode potential at the same temperature when the $Cu^{2+}$ ion concentration is $0.1 \text{ M}$. (in $\text{ V}$)

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