Answer: 2.00 V
Explanation:
The balanced redox reaction is:
[tex]2Al+3Cu^{2+}\rightarrow 2Al^{3+}+3Cu[/tex]
Here Al undergoes oxidation by loss of electrons, thus act as anode. Copper undergoes reduction by gain of electrons and thus act as cathode.
[tex]E^0=E^0_{cathode}- E^0_{anode}[/tex]
Where both [tex]E^0[/tex] are standard reduction potentials.
[tex]Al^{3+}+3e^-\rightarrow Al[/tex] [tex]E^0_{[Al^{3+}/Al]}=-1.66V[/tex]
[tex]Cu^{2+}+2e^-\rightarrow Cu[/tex] [tex]E^0_{[Cu^{2+}/Cu]}=0.340V[/tex]
[tex]E^0=E^0_{[Cu^{2+}/Cu]}- E^0_{[Al^{3+}/Al]}[/tex]
[tex]E^0=+0.34- (-1.66V)=2.00V[/tex]
Thus the standard cell potential is 2.00 V