Electrode Potential: Zinc-Copper E Cell & Plausibility

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Bladibla
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When we work out the E cell of with the electrode potential values of Zinc and copper (for example) Why does a positive E cell value indicate that the reaction is plausible?
 
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[tex]- \Delta G^0 = work~done ~at~constant~potential=E^0_{cell} \Delta Q[/tex]
[tex]\Delta Q = nF[/tex]
[tex]\implies \Delta G^0 =-nFE^0_{cell}[/tex]

Of course, now this translates to another convention : that a negative free energy change tells you that the reaction is plausible. To make this more intuitive, it may help to go a step further.

[tex]\Delta G^0 = -RT lnK[/tex]
[tex]\Delta G^0 < 0 \implies lnK > 0 \implies K > 1[/tex]