[Four-digit Integer] The temperature coefficient of the cell: Zn — Electrochemistry Chemistry Question

💡 Solution & Explanation

\textbf{Cell reaction:} Zn $+$ 2AgCl $\rightarrow$ Zn$^{2+}$ $+$ 2Cl$^-$ $+$ 2Ag \quad ($n = 2$) \textbf{Given:} Temperature coefficient $\left(\dfrac{\partial E}{\partial T}\right)_P = 1.0 \times 10^{-3}\ \text{V K}^{-1}$ \textbf{Step 1: Apply the thermodynamic relationship.} \[ \Delta S = nF\left(\frac{\partial E}{\partial T}\right)_P \] \textbf{Step 2: Substitute values.} \[ \Delta S = 2 \times 96500 \times 1.0 \times 10^{-3} \] \[ \Delta S = 193000 \times 10^{-3} = \boxed{193\ \text{J K}^{-1}} \] Four-digit answer: \textbf{0193}