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Which shows the correct relationship?

A.) Eo cell > 0 = nonspontaneous reaction
B.) Eo cell > 0 = spontaneous reaction
C.) Eo cell = 0 = nonspontaneous reaction
D.) Eo cell < 0 = spontaneous reaction

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MissPhiladelphia
I think the correct answer from the choices listed above is option B. The correct relationship would be Eo cell > 0 = spontaneous reaction. For a spontaneous reaction, Ecell is positive and ΔG (Gibbs free energy, used to determine if a reaction occurs spontaneously) is negative. Hope this answers the question.

Answer: B.) [tex]E^0_{cell}[/tex] > 0 = spontaneous reaction

Explanation:

The standard emf of a cell is related to Gibbs free energy by following relation:

[tex]\Delta G=-nFE^0[/tex]

[tex]\Delta G[/tex] = gibbs free energy

n= no of electrons gained or lost

F= faraday's constant

[tex]E^0[/tex] = standard emf

when [tex]\Delta G[/tex]= +ve, reaction is non spontaneous

[tex]\Delta G[/tex]= -ve, reaction is spontaneous

[tex]\Delta G[/tex]= 0, reaction is in equilibrium

Thus reaction is spontaneous when [tex]E^0[/tex]= +ve

Thus reaction is non spontaneous when [tex]E^0[/tex]= -ve

Thus reaction is in equilibrium when [tex]E^0[/tex]= 0.

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