Energy And Δg

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Relationship between standard cell potential and Gibbs free energy: ΔG° =

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1. **Fundamental Law**: The maximum electrical work $W_{max}$ obtainable from a cell is equal to the decrease in Gibbs free energy ($\Delta G$).
2. **Equation**: $W_{max} = n F E_{cell}$.
3. **Standard States**: Under standard conditions, $\Delta G^\circ = -W_{elec, max} = **-n F E^\circ_{cell}**$.
4. **Variables**: 
   - $n$: number of moles of electrons transferred.
   - $F$: Faraday constant ($96485$ C/mol).
5. **Spontaneity**: Since $\Delta G^\circ$ must be negative for a spontaneous reaction, $E^\circ_{cell}$ must be positive.

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Energy And Δg

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