For a Mg | Mg²⁺ (aq) || Ag⁺ (aq) | Ag the correct Nernst Equation is :

<p>$$\mathop {Mg\left| {M{g^{2 + }}(aq)} \right|}\limits_{(Anode)} \mathop {\left| {A{g^ + }(aq)} \right|Ag}\limits_{(Cathode)} $$</p> <p>Nernst equation (general)</p> <p>$E_{Cell}=E_{Cell}^0-\frac{R T}{n F} \ln Q$</p> <p>For the cell, the chemical equation can be written as</p> <p>$$\mathrm{Mg}_{(\mathrm{s})}+2 \mathrm{Ag}_{(\text {aq })}^{+} \longrightarrow \mathrm{Mg}_{(\text {aq })}^{2+}+2 \mathrm{Ag}(\mathrm{~s})$$</p> <p>$n$ (number of electrons transferred $)=2$</p> <p>$${E_{cell}} = E_{cell}^o - {{RT} \over {2F}}\ln {{\left[ {M{g^{2 + }}} \right]{{\left[ {Ag} \right]}^2}} \over {\left[ {Mg} \right]{{\left[ {A{g^ + }} \right]}^2}}}$$</p> <p>$${E_{cell}} = E_{cell}^o - {{RT} \over {2F}}\ln {{\left[ {M{g^{2 + }}} \right]} \over {{{\left[ {A{g^ + }} \right]}^2}}}$$</p> <p>$${E_{cell}} = E_{cell}^o + {{RT} \over {2F}}\ln {{{{\left[ {A{g^ + }} \right]}^2}} \over {\left[ {M{g^{2 + }}} \right]}}$$</p> <p>Concentration of solid species</p> <p>$[\mathrm{Mg}]=[\mathrm{Ag}]=1$</p> <p>Correct answer :</p> <p>Option D) $${E_{cell}} = E_{cell}^o + {{RT} \over {2F}}\ln {{{{\left[ {A{g^ + }} \right]}^2}} \over {\left[ {M{g^{2 + }}} \right]}}$$</p>