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For an electrochemical cell operating spontaneously, ΔG° is related to E°_cell by

A{'text': 'ΔG° = +nFE°_cell', 'label': 'A'}
B{'text': 'ΔG° = nF / E°_cell', 'label': 'B'}
C{'text': 'ΔG° = −nFE°_cell', 'label': 'C'}
D{'text': 'ΔG° = E°_cell / (nF)', 'label': 'D'}
Answer & Solution
Correct answer: C. {'text': 'ΔG° = −nFE°_cell', 'label': 'C'}
1. Standard cell thermodynamics: ΔG° = −nFE°_cell. 2. Positive E°_cell → negative ΔG° → spontaneous. 3. n is moles of electrons transferred; F is Faraday constant. 4. At non-standard conditions, ΔG = ΔG° + RT ln Q or equivalently ΔG = −nFE_cell. _Source: NCERT Class 12 Chemistry, Unit 3 "Electrochemistry", §3.3_
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