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Q. Electrode potential for $Mg$ electrode varies according to the equation
$E_{Mg^{2+}|Mg}=E^{\circ}_{Mg^{2+}|Mg}-\frac{0.059}{2} log \frac{1}{\left[Mg^{2+}\right]}$.
The graph of $E_{Mg^{2+}|Mg}\,vs\,log\left[Mg^{2+}\right]$ is

Electrochemistry

Solution:

$E=E^{\circ}+\frac{0.059}{2} log\left[Mg^{2+}\right]$
Hence, plot of $ E\,vs\,\left[Mg^{2+}\right]$ will be linear with positive slope and intercept $= E^{\circ}$