16.10: Key Equations

 

 

 

\(
\begin{aligned}
&E_{\text {cell }}^{\circ}=E_{\text {cathode }}^{\circ}-E_{\text {anode }}^{\circ}\\[6pt]
& E_{\text {cell }}^{\circ}=\frac{R T}{n F} \ln K \\[6pt]
& E_{\text {cell }}^{\circ}=\frac{0.0257 \mathrm{~V}}{n} \ln K=\frac{0.0592 \mathrm{~V}}{n} \log K \quad(\text { at } 298.15 K) \\[6pt]
& E_{\text {cell }}=E_{\text {cell }}^{\circ}-\frac{R T}{n F} \ln Q \quad(\text { Nernst equation }) \\[6pt]
& E_{\text {cell }}=E_{\text {cell }}^{\circ}-\frac{0.0592 \mathrm{~V}}{n} \log Q \quad(\text { at } 298.15 K) \\[6pt]
& \Delta G=-n F E_{\text {cell }} \\[6pt]
& \Delta G^{\circ}=-n F E_{\text {cell }}^{\circ} \\[6pt]
& w_{\text {ele }}=w_{\max }=-n F E_{\text {cell }} \\[6pt]
& Q=I \times t=n \times F
\end{aligned}
\)