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Calculate the standard Gibbs free energy change for the electrochemical cell reaction using the given half-reactions:Cu^2+(aq) + 2 e^- → Cu(s)   E° = +0.34 VSn^4+(aq) + 2 e^- → Sn^2+(aq)   E° = +0.15 VConstruct the cell diagram and identify the anode and cathode. Determine the overall cell potential and whether the reaction is spontaneous.

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First, we need to balance the half-reactions to have the same number of electrons. In this case, both half-reactions involve 2 electrons, so they are already balanced.Next, we need to determine which half-reaction will be the reduction  cathode  and which will be the oxidation  anode . The half-reaction with the higher standard reduction potential  E  will be the reduction, and the other will be the oxidation. In this case, Cu^2+ has a higher E  +0.34 V  than Sn^4+  +0.15 V , so Cu^2+ will be reduced, and Sn^4+ will be oxidized.Now we can write the overall cell reaction by combining the two half-reactions:Cu^2+ aq  + Sn^2+ aq   Cu s  + Sn^4+ aq The cell diagram can be constructed as follows:Sn s  | Sn^2+ aq  || Cu^2+ aq  | Cu s The anode is Sn s  and the cathode is Cu s .To calculate the overall cell potential  Ecell , we subtract the standard reduction potential of the anode from the standard reduction potential of the cathode:Ecell = Ecathode - EanodeEcell =  +0.34 V  -  +0.15 V Ecell = +0.19 VSince the overall cell potential is positive, the reaction is spontaneous.Finally, we can calculate the standard Gibbs free energy change  G  using the following equation:G = -nFEcellwhere n is the number of moles of electrons transferred  in this case, 2 , F is Faraday's constant  96,485 C/mol , and Ecell is the overall cell potential.G = - 2 mol  96,485 C/mol  +0.19 V G = -36,644 J/molThe standard Gibbs free energy change for this electrochemical cell reaction is -36,644 J/mol.

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