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Determine the equilibrium constant for the following redox reaction taking place at 25°C: Fe2+(aq) + H2O2(aq) + 2H+(aq) → Fe3+(aq) + 2H2O(l) Given the standard reduction potentials below: Fe3+/Fe2+ = +0.771 V H2O2(aq)/H2O(l) = +1.78 V

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To determine the equilibrium constant for the given redox reaction, we first need to find the overall cell potential  E  for the reaction. The given standard reduction potentials are:Fe3+ + e-  Fe2+; E = +0.771 VH2O2 + 2H+ + 2e-  2H2O; E = +1.78 VWe need to reverse the first half-reaction to match the overall redox reaction:Fe2+  Fe3+ + e-; E = -0.771 VNow, we can add the two half-reactions to get the overall redox reaction:Fe2+ + H2O2 + 2H+  Fe3+ + 2H2OThe overall cell potential  E  is the sum of the potentials of the two half-reactions:E = -0.771 V + 1.78 V = 1.009 VNow we can use the Nernst equation to find the equilibrium constant  K :E =  RT/nF  * ln K Where:E = 1.009 V  overall cell potential R = 8.314 J/ molK   gas constant T = 25C = 298.15 K  temperature n = 2  number of electrons transferred in the reaction F = 96485 C/mol  Faraday's constant Rearrange the equation to solve for K:ln K  =  nF * E  /  RT K = e^ nF * E  /  RT  Plugging in the values:K = e^ 2 * 96485 C/mol * 1.009 V  /  8.314 J/ molK  * 298.15 K  K  e^198,000 / 2470   e^80.2The equilibrium constant K is approximately e^80.2, which is a very large number. This indicates that the reaction strongly favors the formation of Fe3+ and H2O.

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