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Q. Consider the equilibrium obtained by electrically connecting zinc-amalgam $Zn ( Hg )$ and $HgO$ electrodes in mercury cell,
$Au ( Hg )+ HgO (s) \rightleftharpoons ZnO (s)+ Hg (l)$
Under this equilibrium, what is the relation between the potential of the $Zn ( Hg )$ and $HgO$ electrodes measured against the standard hydrogen electrode?

KEAMKEAM 2017Electrochemistry

Solution:

Since, at equilibrium $E_{(\text {cell })}^{\circ}=$ zero

and $E_{\text {(cell) }}^{\circ}=E_{(\text {cathode })}^{\circ}-E_{(\text {anode })}^{\circ}$

at equilibrium

$E_{(\text {cathode })}^{\circ}=E_{(\text {anode })}^{\circ} \text { i.e }$

electrode potential of $Zn ( Hg )$ electrode must be equal to the $HgO$ electrode.