Cu _ aq ⁺ is unstable in solution and undergoes simultaneous oxidation and reduction according to the reaction : 2 Cu ⁺( aq ) Cu ²⁺( aq )+ Cu ( s ) choose correct E ^ for above reaction if E ^ Cu ²⁺=0.34 ~V and E ^ Cu ²⁺=0.15 ~V

Step-by-step solution

2 Cu ⁺ Cu ⁺²+ Cu 2 e ⁻+ Cu ⁺² Cu ; E ₁^ =0.34 ~V ; (i) e ⁻+ Cu ⁺² Cu ⁺ ; E ₂^ =0.15 ~V ; (ii) Cu ⁺+ e ⁻ Cu ; E ₃^ =? ...(iii) Now, G ₁^ =- nFE ₁^ =-2 0.34 ~F G ₂^ =-1 0.15 ~F , G ₃^ =-1 E ₃^ F Again, G ₁^ = G ₂^ + G ₃^ -0.68 ~F =-0.15 ~F - E ₃ ~F 0 E ₃^ =0.68-0.15=0.53 ~V E _ cell ^ = E _ cathode ^ ( Cu ⁺ / Cu )=0.53-0.15=0.38 ~V