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Calculate the equilibrium constant for the reaction that occurs when a copper electrode is placed in a solution of 0.1 M copper(II) sulfate and connected to a standard hydrogen electrode. The cell potential at standard conditions is observed to be 0.34 V. (Hint: Use the Nernst equation to relate the cell potential to the equilibrium constant.)

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To calculate the equilibrium constant for the reaction, we will use the Nernst equation, which relates the cell potential to the equilibrium constant. The Nernst equation is given by:E = E -  RT/nF  * lnQWhere:E = cell potential under non-standard conditionsE = cell potential under standard conditionsR = gas constant  8.314 J/mol K T = temperature  in Kelvin, assuming 298 K for room temperature n = number of electrons transferred in the redox reactionF = Faraday's constant  96485 C/mol Q = reaction quotientFor a copper electrode in a solution of 0.1 M copper II  sulfate connected to a standard hydrogen electrode, the overall redox reaction is:Cu aq  + 2e  Cu s The standard cell potential  E  is given as 0.34 V. Since the reaction is at equilibrium, E = 0 V. The number of electrons transferred  n  is 2. We can now plug these values into the Nernst equation:0 = 0.34 -  8.314 * 298 /  2 * 96485   * lnQNow, we need to solve for Q:0.34 =  8.314 * 298 /  2 * 96485   * lnQ0.34 *  2 * 96485  /  8.314 * 298  = lnQQ = e^0.34 *  2 * 96485  /  8.314 * 298  Q  10^10At equilibrium, the reaction quotient  Q  is equal to the equilibrium constant  K :K  10^10Therefore, the equilibrium constant for the reaction is approximately 10^10.

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