A voltaic cell uses the following reaction: 2Ag+ (aq, 1 M) + Fe (s) ↔ 2Ag (s) + Fe2+ (aq, 1 M) Given that the standard reduction potential of Ag+ to Ag (s) is +0.80 V and the standard reduction potential of Fe2+ to Fe (s) is −0.44 V, calculate the standard cell potential, E°cell.−1.24 V1.24 V2.04 V0.36 V

Respuesta :

Answer:

The standard cell potential of the reaction is 1.24 Volts.

Explanation:

[tex]2Ag^+(aq)+Fe(s)\rightarrow 2Ag (s)+Fe^{2+}(aq)[/tex]

Reduction at cathode :

[tex]Ag^+(aq)+e^-\rightarrow Ag (s)[/tex]

Reduction potential of  [tex]Ag^{+}[/tex] to Ag=[tex]E^o_{1}=0.80 V[/tex]

Oxidation at anode:

[tex]Fe(s)\rightarrow Fe^{2+}(aq)+2e^-[/tex]

Reduction potential of  [tex]Fe^{2+}[/tex] to Fe=[tex]E^o_{2}=-0.44 V[/tex]

To calculate the [tex]E^o_{cell}[/tex] of the reaction, we use the equation:

[tex]E^o_{cell}=E^o_{red,cathode}-E^o_{red,anode}[/tex]

Putting values in above equation, we get:

[tex]E^o_{cell}=0.80 V -(-0.44 V)=1.24 V[/tex]

The standard cell potential of the reaction is 1.24 Volts.

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