Respuesta :
Answer:
E° = 2.46 V
Explanation:
We have a voltaic cell of aluminum and silver in their respective solutions. To know where will take place the reduction (cathode) and where will take place the oxidation (anode), we need to compare the standard reduction potentials.
E°(Al³⁺/Al) = -1.66 V
E°(Ag⁺/Ag) = +0.80 V
Since Ag⁺/Ag has the highest reduction potential that is where reduction will take place while oxidation will take place in the Al electrode.
Reduction (cathode): Ag⁺(aq) + 1 e⁻ ⇒ Ag(s)
Oxidation (anode): Al(s) ⇒ Al³⁺(aq) + 3 e⁻
The standard potential of the cell (E°) is the difference between the reduction potential of the cathode and the reduction potential of the anode.
E° = E°red,cathode - E°red,anode = 0.80 V - (-1.66V) = 2.46 V
The standard potential for this cell at 25 °C is mathematically given as
E= 2.46 V
What is the standard potential for this cell at 25 °C?
Question Parameter(s):
A 1.0 M aluminum ion solution and another electrode composed of silver in a 1.0 M silver ion solution.
Generally, the equation for the standard reduction potentials is mathematically given as
E°(Al3⁺/Al) = -1.66 V
E°(Ag⁺/Ag) = +0.80 V
Therefore, The anode and cathode reactions
Reduction: Ag⁺(aq) + 1 e⁻ = Ag(s)
Oxidation: Al(s) = Al³⁺(aq) + 3 e⁻
In conclusion, standard potential
E = E°cathode - E°anode
E= 0.80 V - (-1.66V)
E= 2.46 V
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