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Calculate the standard Gibbs free energy change (ΔG°) for the following electrochemical reaction:Cu(s) + 2Ag⁺(aq) → Cu²⁺(aq) + 2Ag(s)Given: - Standard reduction potential for the half-reaction: Cu²⁺(aq) + 2e⁻ → Cu(s) E° = +0.34 V Ag⁺(aq) + e⁻ → Ag(s) E° = +0.80 V

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To calculate the standard Gibbs free energy change  G  for the given electrochemical reaction, we first need to determine the overall cell potential  E  for the reaction. The overall cell potential can be found by subtracting the standard reduction potential of the half-reaction being oxidized from the standard reduction potential of the half-reaction being reduced. In this case, Cu s  is being oxidized to Cu aq , and Ag aq  is being reduced to Ag s .E cell  = E reduction  - E oxidation Since the given half-reactions are:Cu aq  + 2e  Cu s  E = +0.34 V  reduction Ag aq  + e  Ag s  E = +0.80 V  reduction We need to reverse the Cu aq  + 2e  Cu s  half-reaction to represent the oxidation of Cu s  to Cu aq :Cu s   Cu aq  + 2e E = -0.34 V  oxidation Now we can calculate the overall cell potential:E cell  = E reduction  - E oxidation E cell  =  +0.80 V  -  -0.34 V E cell  = +1.14 VNow that we have the overall cell potential, we can calculate the standard Gibbs free energy change  G  using the following equation:G = -nFEwhere n is the number of moles of electrons transferred in the reaction, F is the Faraday constant  96,485 C/mol , and E is the overall cell potential.In this reaction, 2 moles of electrons are transferred  from Cu to 2Ag :G = - 2 mol  96,485 C/mol  +1.14 V G = -219,663.8 J/molSince the standard Gibbs free energy change is typically expressed in kJ/mol, we can convert it:G = -219.66 kJ/molSo, the standard Gibbs free energy change  G  for the given electrochemical reaction is -219.66 kJ/mol.

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