HardChemistryHigh School (11–12)The d- and f-Block ElementsNumerical

E°(Cu⁺/Cu) = +0.52 V and E°(Cu²⁺/Cu⁺) = +0.16 V…

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$E^\circ(\text{Cu}^+/\text{Cu}) = +0.52\ \text{V}$ and $E^\circ(\text{Cu}^{2+}/\text{Cu}^+) = +0.16\ \text{V}$ . For $2\text{Cu}^+ \rightarrow \text{Cu}^{2+} + \text{Cu}$ , which moves one mole of electrons, find $E^\circ_{cell}$ and $\Delta G^\circ$ . Use $F = 96\,500\ \text{C/mol}$ .

Need a reminder? The key ideaShow

Spin-only magnetic moment: $\mu = \sqrt{n(n+2)}\ \text{BM}$ , with $n$ unpaired electrons. An ion absorbs the light whose photon energy matches its d-d gap: $E = 119\,627 / \lambda$ in kJ/mol, with $\lambda$ in nm. An ion disproportionates if $E^\circ_{cell} = E^\circ(\text{reduced}) - E^\circ(\text{oxidised})$ is positive, and $\Delta G^\circ = -nFE^\circ$ with $F = 96\,500\ \text{C/mol}$ .

The worked solution

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