Which of the following formulae is used to ob | vedclass

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(B) The relationship between the standard Gibbs free energy change $(\Delta G^{\circ})$ and the standard cell potential $(E_{	ext{cell}}^{\circ})$ is

Vedclass · Accepted Answer

$\frac{-\Delta G^{\circ}}{2 F}$

Vedclass · Answer

(B) The relationship between the standard Gibbs free energy change $(\Delta G^{\circ})$ and the standard cell potential $(E_{	ext{cell}}^{\circ})$ is given by the equation: $\Delta G^{\circ} = -nFE_{	ext{cell}}^{\circ}$.Rearranging this for $E_{	ext{cell}}^{\circ}$,we get: $E_{	ext{cell}}^{\circ} = \frac{-\Delta G^{\circ}}{nF}$.In a dry cell (Leclanché cell),the overall reaction involves the reduction of $MnO_2$ and the oxidation of $Zn$. The reaction is: $Zn(s) + 2MnO_2(s) + 2NH_4^+(aq) ightarrow Zn^{2+}(aq) + Mn_2O_3(s) + 2NH_3(g) + H_2O(l)$.Here,the number of electrons transferred $(n)$ is $2$.Substituting $n = 2$ into the formula,we get $E_{	ext{cell}}^{\circ} = \frac{-\Delta G^{\circ}}{2F}$.

Which of the following formulae is used to obtain the value of $E_{\text{cell}}^{\circ}$ for a reaction taking place in a Dry cell?

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