The standard Gibbs' energy change for Daniel cell reaction is $$ \begin{aligned} &…

The standard Gibbs' energy change for Daniel cell reaction is $$ \begin{aligned} & \mathrm{Zn}(s)+\mathrm{Cu}^{2+}(a q) \longrightarrow \mathrm{Zn}^{2+}(a q)+\mathrm{Cu}(s) \\ & E_{\text {cell }}^{\circ}=1.1 \mathrm{~V} \text {. } \end{aligned} $$
  1. $-212.3 \mathrm{~kJ}$
  2. $106.15 \mathrm{~kJ}$
  3. $+212.3 \mathrm{~kJ}$
  4. $100 \mathrm{~kJ}$

Solution

Given, $ \begin{aligned} n, E_{\text {cell }}^{\circ} & =1.1 \mathrm{~V} \\ n & =2 \\ F & =96500 \mathrm{C} / \mathrm{mol} \\ \Delta G & =-n F E^{\circ} \\ & =-2 \times 96500 \times 1.1 \\ & =-212300 \mathrm{~J} \\ & =-212.3 \mathrm{~kJ} \end{aligned} $

Asked in: AP EAMCET 2022 (06 Jul Shift 2)

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