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What is the standard free energy change for the redox reaction of 2 Fe^2+(aq) + Cl2(g) → 2 Fe^3+(aq) + 2 Cl^-(aq) at 298 K?

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To calculate the standard free energy change  G  for the redox reaction, we first need to determine the standard cell potential  E  for the reaction. The equation to relate G and E is: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 standard cell potential.First, we need to find the standard reduction potentials for the half-reactions:Fe^3+ aq  + e^-  Fe^2+ aq   E = +0.77 VCl2 g  + 2e^-  2 Cl^- aq   E = +1.36 VNow, we need to reverse the first half-reaction to make it an oxidation reaction:Fe^2+ aq   Fe^3+ aq  + e^-  E = -0.77 VNow, we can add the two half-reactions to get the overall redox reaction:2 Fe^2+ aq  + Cl2 g   2 Fe^3+ aq  + 2 Cl^- aq The overall standard cell potential  E  is the sum of the standard potentials of the two half-reactions:E =  -0.77 V  +  +1.36 V  = +0.59 VNow, we can calculate the standard free energy change  G :G = -nFEIn this reaction, n = 2 moles of electrons are transferred. Therefore,G = - 2 mol  96,485 C/mol  0.59 V  = -113,932 J/molWe can convert this to kJ/mol:G = -113.932 kJ/molSo, the standard free energy change for the redox reaction of 2 Fe^2+ aq  + Cl2 g   2 Fe^3+ aq  + 2 Cl^- aq  at 298 K is -113.932 kJ/mol.
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