Answer: The standard electrode potential of the cell is 0.62 V.
Explanation:
For the given chemical equation:
[tex]3Cu(s)+2NO_3^-(aq)+8H^+(aq.)\rightarrow 3Cu^{2+}(aq.)+2NO(g)+4H_2O(l)[/tex]
The substance having highest positive [tex]E^o[/tex] potential will always get reduced and will undergo reduction reaction.
Oxidation half reaction: [tex]Cu^{2+}(aq.)+2e^-\rightarrow Cu(s);E^o_{Cu^{2+}/Cu}=0.34V[/tex] ( × 3 )
Reduction half reaction: [tex]NO_3^-(aq.)+4H^+(aq.)+3e^-\rightarrow NO(g)+2H_2O(l);E^o=0.96V[/tex] ( × 2 )
Substance getting oxidized always act as anode and the one getting reduced always act as cathode.
To calculate the [tex]E^o_{cell}[/tex] of the reaction, we use the equation:
[tex]E^o_{cell}=E^o_{cathode}-E^o_{anode}[/tex]
[tex]E^o_{cell}=0.96-(0.34)=0.62V[/tex]
Hence, the standard electrode potential of the cell is 0.62 V.