Answer:
E°cell= 2.00 V
Explanation:
Let's consider the following reductions with their respective standard reduction potentials.
Al³⺠+ 3 eā» ā Al; E°red= ā1.66 V
Cu²⺠+ 2 eā» ā Cu; E°red= 0.340 V
The one with the higher standard reduction potential will occur as a reduction (cathode) while the other will occur as an oxidation (anode). The corresponding half-reactions are:
Anode (oxidation): Al ā Al³⺠+ 3 eā»; E°red= ā1.66 V
Cathode (reduction): Cu²⺠+ 2 eā» ā Cu; E°red= 0.340 V
The standard cell potential (E°cell) can be calculated by subtracting the standard half-cell potential of the reaction that occurs at the cathode from the standard half-cell potential of the reaction that occurs at the anode:
E°cell=E°red(reduction process)āE°red(oxidation process) = 0.340V - (-1.66V) = 2.00V