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AP Chemistry
9.9 Cell Potential and Free Energy
9.5 Free Energy and Equilibrium
IntermediateMCQMathematicalProportional AnalysisConceptual22.4k
A researcher compares two hypothetical galvanic cells used in metal recovery. Both cells operate at the same temperature and transfer the same number of moles of electrons per mole of reaction. The standard cell potentials satisfy \(E_2^\circ=2E_1^\circ\), where \(E_1^\circ>0\). The corresponding equilibrium constants are \(K_1\) and \(K_2\).

The relationships \(\Delta G^\circ=-nFE^\circ\) and \(\Delta G^\circ=-RT\ln K\) apply. Which of the following correctly relates \(K_2\) to \(K_1\)?

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