From the redox couple below, determine the temperature at which the redox couples are in equilibrium considering that the concentrations of solutions are 1.0 M and partial pressures of the gases are at 1 atm. (USE NERNST EQUATION)

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From the redox couple below, determine the temperature at which the redox couples are in equilibrium considering that the concentrations of solutions are 1.0 M and partial pressures of the gases are at 1 atm. (USE NERNST EQUATION) 

2. Cathode : Cu2+/Cu

The half reaction is Cu2+ + 2e- -----> Cu, Eo = +0.34 V

Anode loses 4 electrons, so, cathode must be multiplied by '2'.

The overall reaction (with fixed anode) becomes :

2Cu2+ + 4OH- ------>  O2 + 2H2O + 2Cu

Electrons transferred = 4

 

Calculate Eocell as shown below:

Eocell = Eocathode - Eoanode

         = (0.34 V) - (0.40 V)

         = -0.06 V

 

For present reaction, n = 4. Calculate 'K' as shown below:

Eocell−0.06 logK K =====0.0591nlogK0.05914logK−0.0141810−0.014180.9679Eocell=0.0591nlogK-0.06 =0.05914logKlogK =-0.01418K =10-0.01418=0.9679

 

Calculate ΔGas shown below:

ΔG= -nFEocell 

         = -(4)*(96486 J/mol-Volt )(-0.06 Volt)

        = +23156.64 J/mol

        = +23.16 kJ/mol

 

Hence, the  ΔGo, K, and Eocell of redox couple is +23.16 kJ/mol, 0.9679 and -0.06 V respectively.

The ΔGis positive and Eocell is negative, so, it is an ELECTROLYTIC CELL.

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