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Q. $Mg\left(\right.s\left.\right)\left|\right.Mg^{2 +}\left(\right.aq\left.\right)\left|\right.\left|\right.Zn^{2 +}\left(\right.aq\left.\right)\left|\right.Zn\left(\right.s\left.\right);E^\circ =+3.13\text{V}$
The correct plot of $E_{c e l l}$ versus $log \frac{\left[\right. M g^{2 +} \left]\right.}{\left[\right. Z n^{2 +} \left]\right.}$ will be represented as

NTA AbhyasNTA Abhyas 2022

Solution:

For the given cell,
$E = E ^{ o }-\frac{0.059}{2} \log _{10} \frac{\left[ Mg ^{2+}\right]}{\left[ Zn ^{2+}\right]}$
This equation is of the form $y = mx + c$, its slope is negative and intercept equal to $E ^{\circ}$
Slope $=-\frac{0.059}{2}$
Intercept $= E ^{\circ}$.