The overall reaction 2Co3+(aq) + 2Cl–(aq) → 2Co2+(aq) + Cl2(g) has the standard cell voltage E°cell = 0.46 V. Given E° = 1.36 V for the reaction Cl2(g) + 2e– → 2Cl–(aq), calculate the standard reduction potential for the following the half reaction at 25°C: Co3+ + e– → Co2+

Respuesta :

Answer: The standard reduction potential for reduction half reaction is 1.82 V

Explanation:

The given chemical reaction follows:

[tex]2Co^{3+}(aq.)+2Cl^(aq.)\rightarrow 2Co^{2+}(aq.)+Cl_2(g)[/tex]

Oxidation half reaction:  [tex]2Cl^-\rightarrow Cl_2+2e^-[/tex]

Reduction half reaction:  [tex]Co^{3+}+e^-\rightarrow Co^{2+}[/tex]

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]

We are given:

[tex]E^o_{Cl_2/2Cl^-}=1.36V\\\\E^o_{cell}=0.46V[/tex]

Putting values in above equation, we get:

[tex]0.46=E^o_{Co^{3+}/Co^{2+}}-1.36\\\\E^o_{Co^{3+}/Co^{2+}}=(0.46+1.36)V=1.82V[/tex]

Hence, the standard reduction potential for reduction half reaction is 1.82 V

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