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Calculate the standard free energy change, ΔG°, for the following redox reaction if the standard reduction potential of Ag⁺/Ag is +0.80 V and the standard reduction potential of Cu²⁺/Cu is +0.34 V:Ag⁺(aq) + Cu(s) → Ag(s) + Cu²⁺(aq)

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To calculate the standard free energy change  G  for the redox reaction, we first need to determine the overall cell potential  E  for the reaction. The cell potential is the difference between the standard reduction potentials of the two half-reactions.The given reaction can be divided into two half-reactions:1. Ag aq  + e  Ag s   Reduction half-reaction 2. Cu s   Cu aq  + 2e  Oxidation half-reaction The standard reduction potential  E  for the reduction half-reaction is given as +0.80 V, and the standard reduction potential for the oxidation half-reaction is given as +0.34 V. However, we need to reverse the oxidation half-reaction to find its standard oxidation potential:Cu aq  + 2e  Cu s The standard oxidation potential for the reversed reaction is -0.34 V.Now, we can calculate the overall cell potential  E  for the redox reaction:E = E reduction  - E oxidation E =  +0.80 V  -  -0.34 V E = +1.14 VNext, we can use the relationship between the standard free energy change  G  and the cell potential  E  to calculate G:G = -nFEwhere n is the number of moles of electrons transferred in the reaction, F is Faraday's constant  96,485 C/mol , and E is the cell potential.In this reaction, 2 moles of electrons are transferred  from Cu to Ag . Therefore, n = 2.G = - 2 mol  96,485 C/mol  1.14 V G = -219,664.6 J/molSince the standard free energy change is typically expressed in kJ/mol, we can convert the value:G = -219.7 kJ/molSo, the standard free energy change  G  for the given redox reaction is -219.7 kJ/mol.

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