Chemistry

Problem

Cell X and Cell Y both operate under standard conditions and produce an identical cell potential of

0.80\,\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,

\Delta G^\circ_{\text{X}}

and

\Delta G^\circ_{\text{Y}}

? a)

\Delta G^{\circ}_{\text{Y}}

equals

\Delta G^{\circ}_{\text{X}}

because free energy depends only on cell potential. b)

\Delta G^{\circ}_{\text{Y}}

is four times more negative than

\Delta G^{\circ}_{\text{X}}

since both electrodes each add two extra electrons. c)

\Delta G^{\circ}_{\text{Y}}

is exactly twice as negative as

\Delta G^{\circ}_{\text{X}}

because more electrons are transferred. d)

\Delta G^{\circ}_{\text{Y}}

is half as negative as

\Delta G^{\circ}_{\text{X}}

because the electrons are split between two half-reactions.

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