Cell X and Cell Y both operate under standard conditions and produce an identical…

CHEMISTRY · Single correct · A Level · Chemistry · Electrode potentials · Electrode potentials

Problem

Cell X and Cell Y both operate under standard conditions and produce an identical cell potential of 0.80 V0.80\,\text{V}. In the balanced overall reaction for Cell X, 2 electrons are transferred, whereas in Cell Y, 4 electrons are transferred. Which statement best describes the relationship between their standard free-energy changes, ΔGX∘\Delta G^\circ_{\text{X}} and ΔGY∘\Delta G^\circ_{\text{Y}}? (a) ΔGY∘\Delta G^{\circ}_{\text{Y}} equals ΔGX∘\Delta G^{\circ}_{\text{X}} because free energy depends only on cell potential. (b) ΔGY∘\Delta G^{\circ}_{\text{Y}} is four times more negative than ΔGX∘\Delta G^{\circ}_{\text{X}} since both electrodes each add two extra electrons. (c) ΔGY∘\Delta G^{\circ}_{\text{Y}} is exactly twice as negative as ΔGX∘\Delta G^{\circ}_{\text{X}} because more electrons are transferred. (d) ΔGY∘\Delta G^{\circ}_{\text{Y}} is half as negative as ΔGX∘\Delta G^{\circ}_{\text{X}} because the electrons are split between two half-reactions.

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