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Q.
What will be the products of electrolysis of an aqueous solution of $AgNO_3$ with silver electrodes?
Redox Reactions
Solution:
$AgNO_3 \to Ag^+ + NO_3^-$ (aqueous solution)
At cathode :
$Ag_{\left(aq\right)} + e^{-} \to Ag ; E^{\circ} = + 0.80\,V$
$2H_{2}O_{\left(l\right)}+ 2e^{-} \to H_{2} + 2OH^{-} ; E^{\circ} = -0.83 \,V$
Since reduction potential of $Ag^{+}$ is higher than $H_{2}O, Ag^{+}$ are reduced to $Ag$.
At anode :
$Ag\to Ag^{+}_{\left(aq\right)} + e^{-} ; E^{\circ} = - 0.80\,V$
$2H_{2}O \to O_{2} + 4H^{+} +4e^{-} ; E^{\circ} = - 1.23 \,V$
Since oxidation potential of $Ag$ is higher than $H_{2}O$, $Ag$ of silver anode is oxidised. The oxidation potential of $NO_{3}^{-}$ is lower than $H_{2}O$.