The temperature voltage coefficient for a simple alkaline torch battery is -6.{{0}}\times10^{-4}\ {\mathrm{VK}}^{-1}. What is the entropy change associated with battery discharge? The number of electrons transferred in the cell reaction n = 2.
Inserting values into Equation (7.18):
\Delta S_{\mathrm{(cell)}}=2\times96485\mathrm{~Cmol}^{-1}\times-6.0\times10^{-4}\mathrm{~VK}^{-1}
\Delta S_{\mathrm{(cell)}}=-116\mathrm{~J~}\mathrm{K}^{-1}\mathrm{mol}^{-1}
\Delta S_{\mathrm{(cell)}}=n F\left({\frac{\mathrm{d}(e m\!f)}{\mathrm{d}T}}\right)_{p} (7.18)