Chemistry - Electrochemistry Question with Solution | TestHub

For the electrochemical cell,$\text{Mg(s)}\left|{\text{Mg}}^{\text{2+}}\left(\text{aq,1}\text{M}\right)\right|\left|{\text{Cu}}^{\text{2+}}\left(\text{aq,1}\text{M}\right)\right|\text{Cu }\left(\text{s}\right)$the standard emf of the cell is$\text{2}\text{.70 V}$at$\text{300 K}\text{.}$When the concentration of${\text{Mg}}^{\text{2+}}$is changed to$\text{x M,}$the cell potential changes to$\text{2}\text{.67 V}$at$\text{300 K}\text{.}$The value of$\text{x}$is ________.

(given,$\frac{\text{F}}{\text{R}}{\text{=11500 K V}}^{-\text{1}}\text{,}$where$\text{F}$is the Faraday constant and$\text{R}$is the gas constants,$\text{ln}\left(\text{10}\right)\text{=}\text{2}\text{.30}$)