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Given E _ Cu ²⁺ / Cu ^ =0.34 ~V , E _ Cu ²⁺ / Cu ^ =0.15 ~V Standard electrode potential for the half cell Cu ⁺ / Cu is

Options

  1. A0.38 ~V
  2. B0.53 ~V
  3. C0.19 ~V
  4. D0.49 ~V

Correct answer

B. 0.53 ~V

Step-by-step solution

aligned & Cu ⁺⁺+e⁻ Cu ⁺ ; & E₁^0=0.15 ~V ; G₁^0=-n₁ E₁^0 F & Cu ²⁺+2 e Cu ; & E₂^0=0.34 ~V ; G₂^0=-n₂ E₂^0 F & aligned On subracting eq.(i) from eq. (ii) we get aligned & Cu ⁺+e⁻ Cu ; G^0= G₂^0- G₁^0 &-n E^0 F=- (n₂ E^0 F-n₁ E₁^0 F ) & E^0= n₂ E₂^0 F-n₁ E₁^0 F n F &= 2 0.34-0.15 1 &=0.53 ~V aligned

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